Rates - SAT Math
Card 1 of 274
What is the conversion factor from feet to meters?
What is the conversion factor from feet to meters?
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1 foot = 0.3048 meters. Standard imperial-metric length conversion.
1 foot = 0.3048 meters. Standard imperial-metric length conversion.
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What is the formula for calculating work rate?
What is the formula for calculating work rate?
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$\text{Work Rate} = \frac{\text{Work}}{\text{Time}}$. This formula shows how much work is completed per unit time.
$\text{Work Rate} = \frac{\text{Work}}{\text{Time}}$. This formula shows how much work is completed per unit time.
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Calculate the rate for 500 km in 10 hours.
Calculate the rate for 500 km in 10 hours.
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50 km per hour. Divide $500 \div 10 = 50$ km per hour.
50 km per hour. Divide $500 \div 10 = 50$ km per hour.
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Calculate the unit rate: 240 pages in 4 hours.
Calculate the unit rate: 240 pages in 4 hours.
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60 pages per hour. Divide $240 \div 4 = 60$ pages per hour.
60 pages per hour. Divide $240 \div 4 = 60$ pages per hour.
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Calculate the rate for 200 liters in 5 minutes.
Calculate the rate for 200 liters in 5 minutes.
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40 liters per minute. Divide $200 \div 5 = 40$ liters per minute.
40 liters per minute. Divide $200 \div 5 = 40$ liters per minute.
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Find the unit price if 5 apples cost $10.
Find the unit price if 5 apples cost $10.
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Unit price is $2 per apple. Calculated by dividing $\$$10 \div 5 = $$2$ per apple.
Unit price is $2 per apple. Calculated by dividing $\$$10 \div 5 = $$2$ per apple.
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State the rate: 60 pages in 2 hours.
State the rate: 60 pages in 2 hours.
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30 pages per hour. Divide $60 \div 2 = 30$ pages per hour.
30 pages per hour. Divide $60 \div 2 = 30$ pages per hour.
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If a car travels at 60 mph, how far does it travel in 1.5 hours?
If a car travels at 60 mph, how far does it travel in 1.5 hours?
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90 miles. Multiply rate by time: $60 × 1.5 = 90$.
90 miles. Multiply rate by time: $60 × 1.5 = 90$.
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What is the rate if 240 units are produced in 8 hours?
What is the rate if 240 units are produced in 8 hours?
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30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
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How do you calculate the unit rate from a ratio?
How do you calculate the unit rate from a ratio?
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Divide the first quantity by the second. This creates a rate with denominator 1, showing quantity per single unit.
Divide the first quantity by the second. This creates a rate with denominator 1, showing quantity per single unit.
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What is the rate for 60 meters in 15 seconds?
What is the rate for 60 meters in 15 seconds?
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4 meters per second. Divide $60 \div 15 = 4$ meters per second.
4 meters per second. Divide $60 \div 15 = 4$ meters per second.
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Find the unit rate: 150 words in 3 minutes.
Find the unit rate: 150 words in 3 minutes.
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50 words per minute. Divide $150 \div 3 = 50$ words per minute.
50 words per minute. Divide $150 \div 3 = 50$ words per minute.
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Calculate the rate: 240 km in 4 hours.
Calculate the rate: 240 km in 4 hours.
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60 km per hour. Divide $240 \div 4 = 60$ km per hour.
60 km per hour. Divide $240 \div 4 = 60$ km per hour.
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What is the formula for calculating speed?
What is the formula for calculating speed?
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$Speed = \frac{\text{Distance}}{\text{Time}}$. Distance divided by time gives rate of motion.
$Speed = \frac{\text{Distance}}{\text{Time}}$. Distance divided by time gives rate of motion.
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Find the unit rate for 90 miles in 3 hours.
Find the unit rate for 90 miles in 3 hours.
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30 miles per hour. Divide $90 \div 3 = 30$ miles per hour.
30 miles per hour. Divide $90 \div 3 = 30$ miles per hour.
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Determine the rate: $15 for 3 pounds of oranges.
Determine the rate: $15 for 3 pounds of oranges.
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Rate is $5 per pound. Calculated by dividing $\$$15 \div 3 = $$5$ per pound.
Rate is $5 per pound. Calculated by dividing $\$$15 \div 3 = $$5$ per pound.
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Calculate the rate: 144 miles in 3 hours.
Calculate the rate: 144 miles in 3 hours.
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48 miles per hour. Divide $144 \div 3 = 48$ miles per hour.
48 miles per hour. Divide $144 \div 3 = 48$ miles per hour.
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Find the rate: 360 km in 9 hours.
Find the rate: 360 km in 9 hours.
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40 km per hour. Divide $360 \div 9 = 40$ km per hour.
40 km per hour. Divide $360 \div 9 = 40$ km per hour.
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Determine the rate: 500 meters in 100 seconds.
Determine the rate: 500 meters in 100 seconds.
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5 meters per second. Divide $500 \div 100 = 5$ meters per second.
5 meters per second. Divide $500 \div 100 = 5$ meters per second.
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What is the formula for calculating speed?
What is the formula for calculating speed?
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$Speed = \frac{\text{Distance}}{\text{Time}}$. This is the fundamental rate formula relating distance traveled to time taken.
$Speed = \frac{\text{Distance}}{\text{Time}}$. This is the fundamental rate formula relating distance traveled to time taken.
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Calculate the unit rate: 100 miles in 5 hours.
Calculate the unit rate: 100 miles in 5 hours.
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20 miles per hour. Divide $100 \div 5 = 20$ miles per hour.
20 miles per hour. Divide $100 \div 5 = 20$ miles per hour.
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State the unit rate: 80 km in 4 hours.
State the unit rate: 80 km in 4 hours.
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20 km per hour. Divide $80 \div 4 = 20$ km per hour.
20 km per hour. Divide $80 \div 4 = 20$ km per hour.
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What is the unit rate of 180 miles in 3 hours?
What is the unit rate of 180 miles in 3 hours?
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60 miles per hour. Divide $180 \div 3 = 60$ miles per hour.
60 miles per hour. Divide $180 \div 3 = 60$ miles per hour.
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What is the unit rate for 120 dollars in 4 hours?
What is the unit rate for 120 dollars in 4 hours?
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30 dollars per hour. Divide $120 \div 4 = 30$ dollars per hour.
30 dollars per hour. Divide $120 \div 4 = 30$ dollars per hour.
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Calculate the rate of 72 km in 6 hours.
Calculate the rate of 72 km in 6 hours.
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12 km per hour. Divide $72 \div 6 = 12$ km per hour.
12 km per hour. Divide $72 \div 6 = 12$ km per hour.
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What is the unit rate for 180 km in 2 hours?
What is the unit rate for 180 km in 2 hours?
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90 km per hour. Divide $180 \div 2 = 90$ km per hour.
90 km per hour. Divide $180 \div 2 = 90$ km per hour.
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Identify the rate: 100 gallons in 4 hours.
Identify the rate: 100 gallons in 4 hours.
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25 gallons per hour. Divide $100 \div 4 = 25$ gallons per hour.
25 gallons per hour. Divide $100 \div 4 = 25$ gallons per hour.
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Calculate the rate: 150 miles in 3 hours.
Calculate the rate: 150 miles in 3 hours.
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50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
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Calculate the rate for 240 pages in 8 hours.
Calculate the rate for 240 pages in 8 hours.
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30 pages per hour. Divide $240 \div 8 = 30$ pages per hour.
30 pages per hour. Divide $240 \div 8 = 30$ pages per hour.
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What is the unit rate for 30 dollars in 5 hours?
What is the unit rate for 30 dollars in 5 hours?
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6 dollars per hour. Divide $30 \div 5 = 6$ dollars per hour.
6 dollars per hour. Divide $30 \div 5 = 6$ dollars per hour.
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How do you calculate average speed?
How do you calculate average speed?
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$Average Speed = \frac{\text{Total Distance}}{\text{Total Time}}$. Total distance divided by total time for entire journey.
$Average Speed = \frac{\text{Total Distance}}{\text{Total Time}}$. Total distance divided by total time for entire journey.
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What is the reciprocal of a ratio $\frac{a}{b}$?
What is the reciprocal of a ratio $\frac{a}{b}$?
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Reciprocal is $\frac{b}{a}$. Flip the numerator and denominator to find the reciprocal.
Reciprocal is $\frac{b}{a}$. Flip the numerator and denominator to find the reciprocal.
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Convert the fraction $\frac{3}{4}$ to a ratio.
Convert the fraction $\frac{3}{4}$ to a ratio.
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$3:4$. A fraction $\frac{a}{b}$ is equivalent to the ratio $a:b$.
$3:4$. A fraction $\frac{a}{b}$ is equivalent to the ratio $a:b$.
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Find the missing term: $7:x = 14:28$.
Find the missing term: $7:x = 14:28$.
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$x = 14$. Cross-multiply: $7 \times 28 = 14x$, so $196 = 14x$.
$x = 14$. Cross-multiply: $7 \times 28 = 14x$, so $196 = 14x$.
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Express the proportion $\frac{1}{2} = \frac{n}{6}$ in words.
Express the proportion $\frac{1}{2} = \frac{n}{6}$ in words.
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1 is to 2 as $n$ is to 6. Standard verbal form of expressing proportional relationships.
1 is to 2 as $n$ is to 6. Standard verbal form of expressing proportional relationships.
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What is the simplest form of the ratio 18:24?
What is the simplest form of the ratio 18:24?
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$3:4$. Divide both terms by their GCD of 6.
$3:4$. Divide both terms by their GCD of 6.
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Solve the proportion: $\frac{3}{4} = \frac{x}{8}$.
Solve the proportion: $\frac{3}{4} = \frac{x}{8}$.
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$x = 6$. Cross-multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
$x = 6$. Cross-multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
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What is the ratio of 8 to 12 in simplest form?
What is the ratio of 8 to 12 in simplest form?
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$\frac{2}{3}$. Divide both numbers by their GCD of 4.
$\frac{2}{3}$. Divide both numbers by their GCD of 4.
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State the formula for a proportion.
State the formula for a proportion.
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$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
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Find the missing value: $\frac{7}{x} = \frac{14}{28}$.
Find the missing value: $\frac{7}{x} = \frac{14}{28}$.
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$x = 14$. Cross multiply: $7 \times 28 = 14x$, so $x = 14$.
$x = 14$. Cross multiply: $7 \times 28 = 14x$, so $x = 14$.
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If $\frac{a}{b} = \frac{3}{5}$, what is $\frac{b}{a}$?
If $\frac{a}{b} = \frac{3}{5}$, what is $\frac{b}{a}$?
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$\frac{5}{3}$. Reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.
$\frac{5}{3}$. Reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.
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Express the ratio 20:5 in simplest form.
Express the ratio 20:5 in simplest form.
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$4:1$. Divide both terms by their GCD of 5.
$4:1$. Divide both terms by their GCD of 5.
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Solve for $x$: $\frac{3}{x} = \frac{5}{15}$.
Solve for $x$: $\frac{3}{x} = \frac{5}{15}$.
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$x = 9$. Cross multiply: $3 \times 15 = 5x$, so $x = 9$.
$x = 9$. Cross multiply: $3 \times 15 = 5x$, so $x = 9$.
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Find the missing term: $\frac{6}{9} = \frac{x}{3}$.
Find the missing term: $\frac{6}{9} = \frac{x}{3}$.
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$x = 2$. Cross multiply: $6 \times 3 = 9x$, so $x = 2$.
$x = 2$. Cross multiply: $6 \times 3 = 9x$, so $x = 2$.
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If $a : b = 7 : 3$, what is $\frac{b}{a}$?
If $a : b = 7 : 3$, what is $\frac{b}{a}$?
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$\frac{3}{7}$. For $a:b = 7:3$, we have $\frac{b}{a} = \frac{3}{7}$.
$\frac{3}{7}$. For $a:b = 7:3$, we have $\frac{b}{a} = \frac{3}{7}$.
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Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
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$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
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Express 25% as a ratio.
Express 25% as a ratio.
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$1:4$. 25% means 25 out of 100, which simplifies to $1:4$.
$1:4$. 25% means 25 out of 100, which simplifies to $1:4$.
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Solve for $x$: $\frac{4}{x} = \frac{8}{16}$.
Solve for $x$: $\frac{4}{x} = \frac{8}{16}$.
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$x = 8$. Cross multiply: $4 \times 16 = 8x$, so $x = 8$.
$x = 8$. Cross multiply: $4 \times 16 = 8x$, so $x = 8$.
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Convert the ratio 21:49 to simplest form.
Convert the ratio 21:49 to simplest form.
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$3:7$. Divide both terms by their GCD of 7.
$3:7$. Divide both terms by their GCD of 7.
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Express the ratio $\frac{2}{5}$ as a percentage.
Express the ratio $\frac{2}{5}$ as a percentage.
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40%. Convert to decimal: $0.4 = 40%$.
40%. Convert to decimal: $0.4 = 40%$.
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What is the cross-multiplication step in $\frac{a}{b} = \frac{c}{d}$?
What is the cross-multiplication step in $\frac{a}{b} = \frac{c}{d}$?
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$ad = bc$. Multiply the outer terms and inner terms.
$ad = bc$. Multiply the outer terms and inner terms.
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Convert the ratio $5:10$ to its simplest form.
Convert the ratio $5:10$ to its simplest form.
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$1:2$. Divide both terms by their GCD of 5.
$1:2$. Divide both terms by their GCD of 5.
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State the Cross-Multiplication Rule for proportions.
State the Cross-Multiplication Rule for proportions.
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$a \times d = b \times c$ for $\frac{a}{b} = \frac{c}{d}$. Product of extremes equals product of means.
$a \times d = b \times c$ for $\frac{a}{b} = \frac{c}{d}$. Product of extremes equals product of means.
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Simplify the ratio 16:64.
Simplify the ratio 16:64.
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$1:4$. Divide both terms by their GCD of 16.
$1:4$. Divide both terms by their GCD of 16.
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What is the simplest form of the ratio 12:48?
What is the simplest form of the ratio 12:48?
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$1:4$. Divide both terms by their GCD of 12.
$1:4$. Divide both terms by their GCD of 12.
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Identify the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$.
Identify the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$.
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Extremes are $a$ and $d$. The outer terms in a proportion are the extremes.
Extremes are $a$ and $d$. The outer terms in a proportion are the extremes.
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Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
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$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
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What is the formula for finding the ratio of $a$ to $b$?
What is the formula for finding the ratio of $a$ to $b$?
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Ratio = $\frac{a}{b}$. Expresses the relationship between two quantities.
Ratio = $\frac{a}{b}$. Expresses the relationship between two quantities.
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If $x : y = 5 : 2$, what is $\frac{y}{x}$?
If $x : y = 5 : 2$, what is $\frac{y}{x}$?
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$\frac{2}{5}$. For $x:y = 5:2$, we have $\frac{y}{x} = \frac{2}{5}$.
$\frac{2}{5}$. For $x:y = 5:2$, we have $\frac{y}{x} = \frac{2}{5}$.
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What is the value of $x$ if $5:x = 2:3$?
What is the value of $x$ if $5:x = 2:3$?
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$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
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Express the ratio of 15 minutes to 1 hour as a fraction.
Express the ratio of 15 minutes to 1 hour as a fraction.
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$\frac{1}{4}$. Convert 1 hour to 60 minutes, then simplify $\frac{15}{60}$.
$\frac{1}{4}$. Convert 1 hour to 60 minutes, then simplify $\frac{15}{60}$.
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Convert the ratio 7:28 to its simplest form.
Convert the ratio 7:28 to its simplest form.
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$1:4$. Divide both terms by their GCD of 7.
$1:4$. Divide both terms by their GCD of 7.
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What is the definition of a ratio?
What is the definition of a ratio?
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A comparison of two quantities by division. Expressed as a fraction or with a colon separator.
A comparison of two quantities by division. Expressed as a fraction or with a colon separator.
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Identify the means in the proportion $\frac{a}{b} = \frac{c}{d}$.
Identify the means in the proportion $\frac{a}{b} = \frac{c}{d}$.
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Means are $b$ and $c$. The middle terms in a proportion are the means.
Means are $b$ and $c$. The middle terms in a proportion are the means.
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Determine if $\frac{15}{25}$ and $\frac{3}{5}$ are equivalent.
Determine if $\frac{15}{25}$ and $\frac{3}{5}$ are equivalent.
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Yes, they are equivalent. Both ratios reduce to $\frac{3}{5}$ in simplest form.
Yes, they are equivalent. Both ratios reduce to $\frac{3}{5}$ in simplest form.
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What is $x$ if $\frac{2}{x} = \frac{5}{10}$?
What is $x$ if $\frac{2}{x} = \frac{5}{10}$?
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$x = 4$. Cross multiply: $2 \times 10 = 5x$, so $x = 4$.
$x = 4$. Cross multiply: $2 \times 10 = 5x$, so $x = 4$.
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If $x$ is to $y$ as $3$ is to $4$, express this as a proportion.
If $x$ is to $y$ as $3$ is to $4$, express this as a proportion.
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$\frac{x}{y} = \frac{3}{4}$. Direct translation of the verbal proportion statement.
$\frac{x}{y} = \frac{3}{4}$. Direct translation of the verbal proportion statement.
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Simplify the ratio 50:100.
Simplify the ratio 50:100.
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$1:2$. Divide both terms by their GCD of 50.
$1:2$. Divide both terms by their GCD of 50.
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Find the value of $x$ if $\frac{5}{x} = \frac{10}{15}$.
Find the value of $x$ if $\frac{5}{x} = \frac{10}{15}$.
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$x = 7.5$. Cross multiply: $5 \times 15 = 10x$, so $x = 7.5$.
$x = 7.5$. Cross multiply: $5 \times 15 = 10x$, so $x = 7.5$.
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What is the simplest form of the ratio 10:25?
What is the simplest form of the ratio 10:25?
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$2:5$. Divide both terms by their GCD of 5.
$2:5$. Divide both terms by their GCD of 5.
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Which ratio is equivalent to $\frac{2}{3}$? $\frac{4}{6}$ or $\frac{3}{5}$?
Which ratio is equivalent to $\frac{2}{3}$? $\frac{4}{6}$ or $\frac{3}{5}$?
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$\frac{4}{6}$. Multiply numerator and denominator of $\frac{2}{3}$ by 2.
$\frac{4}{6}$. Multiply numerator and denominator of $\frac{2}{3}$ by 2.
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Identify the ratio form for $a:b = c:d$.
Identify the ratio form for $a:b = c:d$.
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$\frac{a}{b} = \frac{c}{d}$. Colon notation converts to fraction form.
$\frac{a}{b} = \frac{c}{d}$. Colon notation converts to fraction form.
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Convert the ratio 9:36 to simplest form.
Convert the ratio 9:36 to simplest form.
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$1:4$. Divide both terms by their GCD of 9.
$1:4$. Divide both terms by their GCD of 9.
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Determine if $\frac{8}{12}$ and $\frac{2}{3}$ are equivalent.
Determine if $\frac{8}{12}$ and $\frac{2}{3}$ are equivalent.
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Yes, they are equivalent. Both ratios simplify to $\frac{2}{3}$ when reduced.
Yes, they are equivalent. Both ratios simplify to $\frac{2}{3}$ when reduced.
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Solve for $x$: $\frac{x}{12} = \frac{3}{4}$.
Solve for $x$: $\frac{x}{12} = \frac{3}{4}$.
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$x = 9$. Cross multiply: $4x = 36$, so $x = 9$.
$x = 9$. Cross multiply: $4x = 36$, so $x = 9$.
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Find the value of $x$ if $\frac{x}{6} = \frac{3}{2}$.
Find the value of $x$ if $\frac{x}{6} = \frac{3}{2}$.
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$x = 9$. Cross multiply: $2x = 18$, so $x = 9$.
$x = 9$. Cross multiply: $2x = 18$, so $x = 9$.
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Express the ratio 14:42 in simplest form.
Express the ratio 14:42 in simplest form.
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$1:3$. Divide both terms by their GCD of 14.
$1:3$. Divide both terms by their GCD of 14.
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State the formula for a proportion involving $a$, $b$, $c$, and $d$.
State the formula for a proportion involving $a$, $b$, $c$, and $d$.
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$\frac{a}{b} = \frac{c}{d}$. Two ratios set equal, forming an equation.
$\frac{a}{b} = \frac{c}{d}$. Two ratios set equal, forming an equation.
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What is the ratio of 5 to 20 in simplest form?
What is the ratio of 5 to 20 in simplest form?
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$1:4$. Divide both terms by their GCD of 5.
$1:4$. Divide both terms by their GCD of 5.
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What is the value of $x$ if $2:3 = 4:x$?
What is the value of $x$ if $2:3 = 4:x$?
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$x = 6$. Cross-multiply: $2x = 12$, so $x = 6$.
$x = 6$. Cross-multiply: $2x = 12$, so $x = 6$.
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What is the formula for converting a ratio to a percentage?
What is the formula for converting a ratio to a percentage?
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Multiply the ratio by 100. Convert the ratio to decimal form, then multiply by 100.
Multiply the ratio by 100. Convert the ratio to decimal form, then multiply by 100.
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If $x : y = 3 : 4$, what is $\frac{x}{y}$?
If $x : y = 3 : 4$, what is $\frac{x}{y}$?
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$\frac{3}{4}$. Ratio notation directly converts to fraction form.
$\frac{3}{4}$. Ratio notation directly converts to fraction form.
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Express 3 out of 8 as a ratio.
Express 3 out of 8 as a ratio.
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$3:8$. Direct conversion from part-to-whole relationship.
$3:8$. Direct conversion from part-to-whole relationship.
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What is the definition of a ratio?
What is the definition of a ratio?
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A comparison of two quantities by division. Shows how many times one quantity contains another.
A comparison of two quantities by division. Shows how many times one quantity contains another.
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What is the definition of a proportion?
What is the definition of a proportion?
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A proportion is an equation stating two ratios are equal. Two ratios set equal to each other form an equation.
A proportion is an equation stating two ratios are equal. Two ratios set equal to each other form an equation.
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If $a : b = 4 : 5$, what is the value of $\frac{a}{b}$?
If $a : b = 4 : 5$, what is the value of $\frac{a}{b}$?
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$\frac{4}{5}$. Ratio notation $a:b$ equals the fraction $\frac{a}{b}$.
$\frac{4}{5}$. Ratio notation $a:b$ equals the fraction $\frac{a}{b}$.
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What is the conversion factor from gallons to cubic meters?
What is the conversion factor from gallons to cubic meters?
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1 gallon = 0.00378541 cubic meters. Standard US-metric volume conversion.
1 gallon = 0.00378541 cubic meters. Standard US-metric volume conversion.
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Convert 5 quarts to liters.
Convert 5 quarts to liters.
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4.73176 liters. Multiply: $5 \times 0.946353 = 4.73176$ liters.
4.73176 liters. Multiply: $5 \times 0.946353 = 4.73176$ liters.
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Convert 100 meters to yards.
Convert 100 meters to yards.
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109.361 yards. Divide: $100 \div 0.9144 = 109.361$ yards.
109.361 yards. Divide: $100 \div 0.9144 = 109.361$ yards.
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What is the conversion factor from gallons to liters?
What is the conversion factor from gallons to liters?
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1 gallon = 3.78541 liters. Standard US-metric volume conversion.
1 gallon = 3.78541 liters. Standard US-metric volume conversion.
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Convert 5 feet into inches.
Convert 5 feet into inches.
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60 inches. Multiply by 12 inches per foot: $5 \times 12 = 60$.
60 inches. Multiply by 12 inches per foot: $5 \times 12 = 60$.
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What is the conversion factor from square meters to square feet?
What is the conversion factor from square meters to square feet?
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1 sq meter = 10.7639 sq feet. Standard metric-imperial area conversion.
1 sq meter = 10.7639 sq feet. Standard metric-imperial area conversion.
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Convert 30 pounds to kilograms.
Convert 30 pounds to kilograms.
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13.6078 kg. Multiply: $30 \times 0.453592 = 13.6078$ kg.
13.6078 kg. Multiply: $30 \times 0.453592 = 13.6078$ kg.
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What is the conversion factor from ounces to grams?
What is the conversion factor from ounces to grams?
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1 ounce = 28.3495 grams. Standard imperial-metric mass conversion.
1 ounce = 28.3495 grams. Standard imperial-metric mass conversion.
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Convert 10 kilograms to pounds. Use 1 kg = 2.20462 pounds.
Convert 10 kilograms to pounds. Use 1 kg = 2.20462 pounds.
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22.0462 pounds. Multiply: $10 \times 2.20462 = 22.0462$ pounds.
22.0462 pounds. Multiply: $10 \times 2.20462 = 22.0462$ pounds.
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Convert 500 square feet to square meters.
Convert 500 square feet to square meters.
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46.4515 sq meters. Multiply: $500 \times 0.092903 = 46.4515$ sq meters.
46.4515 sq meters. Multiply: $500 \times 0.092903 = 46.4515$ sq meters.
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Convert 200 square meters to square feet.
Convert 200 square meters to square feet.
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2152.78 sq feet. Multiply: $200 \times 10.7639 = 2152.78$ sq feet.
2152.78 sq feet. Multiply: $200 \times 10.7639 = 2152.78$ sq feet.
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What is the conversion factor from square inches to square centimeters?
What is the conversion factor from square inches to square centimeters?
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1 sq inch = 6.4516 sq cm. Standard imperial-metric area conversion.
1 sq inch = 6.4516 sq cm. Standard imperial-metric area conversion.
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What is the conversion factor from liters to quarts?
What is the conversion factor from liters to quarts?
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1 liter = 1.05669 quarts. Standard metric-US volume conversion.
1 liter = 1.05669 quarts. Standard metric-US volume conversion.
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What is the conversion factor from meters to yards?
What is the conversion factor from meters to yards?
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1 meter = 1.09361 yards. Standard metric to imperial length conversion factor.
1 meter = 1.09361 yards. Standard metric to imperial length conversion factor.
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What is the conversion factor from kilometers per hour to miles per hour?
What is the conversion factor from kilometers per hour to miles per hour?
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1 km/h = 0.621371 mph. Standard metric-imperial speed conversion.
1 km/h = 0.621371 mph. Standard metric-imperial speed conversion.
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Convert 100 centimeters into meters.
Convert 100 centimeters into meters.
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1 meter. Divide by 100 centimeters per meter: $100 \div 100 = 1$.
1 meter. Divide by 100 centimeters per meter: $100 \div 100 = 1$.
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Convert 250 grams to ounces.
Convert 250 grams to ounces.
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8.81849 ounces. Divide: $250 \div 28.3495 = 8.81849$ ounces.
8.81849 ounces. Divide: $250 \div 28.3495 = 8.81849$ ounces.
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Convert 25°C to Fahrenheit.
Convert 25°C to Fahrenheit.
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77°F. Calculate: $25 \times \frac{9}{5} + 32 = 77$°F.
77°F. Calculate: $25 \times \frac{9}{5} + 32 = 77$°F.
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Convert 98°F to Celsius.
Convert 98°F to Celsius.
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36.667°C. Calculate: $(98 - 32) \times \frac{5}{9} = 36.667$°C.
36.667°C. Calculate: $(98 - 32) \times \frac{5}{9} = 36.667$°C.
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Convert 20 liters to gallons. Use 1 liter = 0.264172 gallons.
Convert 20 liters to gallons. Use 1 liter = 0.264172 gallons.
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5.28344 gallons. Multiply: $20 \times 0.264172 = 5.28344$ gallons.
5.28344 gallons. Multiply: $20 \times 0.264172 = 5.28344$ gallons.
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Convert 40 gallons to cubic meters.
Convert 40 gallons to cubic meters.
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0.151416 cubic meters. Multiply: $40 \times 0.00378541 = 0.151416$ cubic meters.
0.151416 cubic meters. Multiply: $40 \times 0.00378541 = 0.151416$ cubic meters.
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What is the conversion factor from Fahrenheit to Celsius?
What is the conversion factor from Fahrenheit to Celsius?
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$C = (F - 32) \times \frac{5}{9}$. Standard temperature conversion formula.
$C = (F - 32) \times \frac{5}{9}$. Standard temperature conversion formula.
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What is the conversion factor from Celsius to Fahrenheit?
What is the conversion factor from Celsius to Fahrenheit?
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$F = C \times \frac{9}{5} + 32$. Standard temperature conversion formula.
$F = C \times \frac{9}{5} + 32$. Standard temperature conversion formula.
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What is the conversion factor from pounds to kilograms?
What is the conversion factor from pounds to kilograms?
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1 pound = 0.453592 kg. Standard imperial-metric mass conversion.
1 pound = 0.453592 kg. Standard imperial-metric mass conversion.
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Convert 3 gallons into liters.
Convert 3 gallons into liters.
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11.3562 liters. Multiply by 3.78541 liters per gallon: $3 \times 3.78541 = 11.3562$.
11.3562 liters. Multiply by 3.78541 liters per gallon: $3 \times 3.78541 = 11.3562$.
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What is the conversion factor from quarts to liters?
What is the conversion factor from quarts to liters?
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1 quart = 0.946353 liters. Standard US-metric volume conversion.
1 quart = 0.946353 liters. Standard US-metric volume conversion.
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Convert 2.5 hours into minutes.
Convert 2.5 hours into minutes.
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150 minutes. Multiply by 60 minutes per hour: $2.5 \times 60 = 150$.
150 minutes. Multiply by 60 minutes per hour: $2.5 \times 60 = 150$.
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Convert 5 miles to kilometers. Use 1 mile = 1.60934 km.
Convert 5 miles to kilometers. Use 1 mile = 1.60934 km.
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8.0467 km. Multiply: $5 \times 1.60934 = 8.0467$ km.
8.0467 km. Multiply: $5 \times 1.60934 = 8.0467$ km.
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What is the conversion factor from meters to feet?
What is the conversion factor from meters to feet?
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1 meter = 3.28084 feet. Standard metric-imperial length conversion.
1 meter = 3.28084 feet. Standard metric-imperial length conversion.
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Convert 60 km/h to mph.
Convert 60 km/h to mph.
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37.282 mph. Multiply: $60 \times 0.621371 = 37.282$ mph.
37.282 mph. Multiply: $60 \times 0.621371 = 37.282$ mph.
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What is the conversion factor from inches to centimeters?
What is the conversion factor from inches to centimeters?
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1 inch = 2.54 cm. Standard metric-imperial length conversion.
1 inch = 2.54 cm. Standard metric-imperial length conversion.
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Convert 100 square inches to square centimeters.
Convert 100 square inches to square centimeters.
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645.16 sq cm. Multiply: $100 \times 6.4516 = 645.16$ sq cm.
645.16 sq cm. Multiply: $100 \times 6.4516 = 645.16$ sq cm.
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What is the conversion factor from kilometers to miles?
What is the conversion factor from kilometers to miles?
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1 km = 0.621371 miles. Standard metric-imperial distance conversion.
1 km = 0.621371 miles. Standard metric-imperial distance conversion.
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What is the conversion factor from Celsius to Fahrenheit?
What is the conversion factor from Celsius to Fahrenheit?
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$F = \frac{9}{5}C + 32$. Multiply by $\frac{9}{5}$ then add 32 degrees.
$F = \frac{9}{5}C + 32$. Multiply by $\frac{9}{5}$ then add 32 degrees.
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What is the conversion factor from milliliters to fluid ounces?
What is the conversion factor from milliliters to fluid ounces?
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1 mL = 0.033814 fluid ounces. Standard metric-US volume conversion.
1 mL = 0.033814 fluid ounces. Standard metric-US volume conversion.
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What is the conversion factor from pounds to kilograms?
What is the conversion factor from pounds to kilograms?
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1 pound = 0.453592 kilograms. Standard imperial to metric mass conversion factor.
1 pound = 0.453592 kilograms. Standard imperial to metric mass conversion factor.
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What is the conversion factor from liters to cubic meters?
What is the conversion factor from liters to cubic meters?
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1 liter = 0.001 cubic meters. Volume conversion: 1000 liters equal 1 cubic meter.
1 liter = 0.001 cubic meters. Volume conversion: 1000 liters equal 1 cubic meter.
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What is the conversion factor from square feet to square meters?
What is the conversion factor from square feet to square meters?
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1 sq ft = 0.092903 sq meters. Standard imperial-metric area conversion.
1 sq ft = 0.092903 sq meters. Standard imperial-metric area conversion.
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Convert 8 ounces into grams.
Convert 8 ounces into grams.
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226.796 grams. Multiply by 28.3495 grams per ounce: $8 \times 28.3495 = 226.796$.
226.796 grams. Multiply by 28.3495 grams per ounce: $8 \times 28.3495 = 226.796$.
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What is the conversion factor from yards to meters?
What is the conversion factor from yards to meters?
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1 yard = 0.9144 meters. Standard imperial-metric length conversion.
1 yard = 0.9144 meters. Standard imperial-metric length conversion.
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Convert 50 centimeters to inches.
Convert 50 centimeters to inches.
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19.685 inches. Divide: $50 \div 2.54 = 19.685$ inches.
19.685 inches. Divide: $50 \div 2.54 = 19.685$ inches.
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What is the conversion factor from kilometers to miles?
What is the conversion factor from kilometers to miles?
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1 kilometer = 0.621371 miles. Standard metric to imperial distance conversion factor.
1 kilometer = 0.621371 miles. Standard metric to imperial distance conversion factor.
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Convert 3 cubic meters to cubic feet.
Convert 3 cubic meters to cubic feet.
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105.944 cubic feet. Multiply: $3 \times 35.3147 = 105.944$ cubic feet.
105.944 cubic feet. Multiply: $3 \times 35.3147 = 105.944$ cubic feet.
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What is the conversion factor from cubic meters to cubic feet?
What is the conversion factor from cubic meters to cubic feet?
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1 cubic meter = 35.3147 cubic feet. Standard metric-imperial volume conversion.
1 cubic meter = 35.3147 cubic feet. Standard metric-imperial volume conversion.
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Convert 10 liters to quarts.
Convert 10 liters to quarts.
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10.5669 quarts. Multiply: $10 \times 1.05669 = 10.5669$ quarts.
10.5669 quarts. Multiply: $10 \times 1.05669 = 10.5669$ quarts.
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Convert 15 inches to centimeters.
Convert 15 inches to centimeters.
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38.1 cm. Multiply: $15 \times 2.54 = 38.1$ cm.
38.1 cm. Multiply: $15 \times 2.54 = 38.1$ cm.
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What is the conversion factor from hours to seconds?
What is the conversion factor from hours to seconds?
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1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
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Convert 500 milliliters to fluid ounces.
Convert 500 milliliters to fluid ounces.
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16.907 fluid ounces. Multiply: $500 \times 0.033814 = 16.907$ fluid ounces.
16.907 fluid ounces. Multiply: $500 \times 0.033814 = 16.907$ fluid ounces.
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Determine the unit rate: 300 miles in 6 hours.
Determine the unit rate: 300 miles in 6 hours.
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50 miles per hour. Divide $300 \div 6 = 50$ miles per hour.
50 miles per hour. Divide $300 \div 6 = 50$ miles per hour.
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What is the formula for calculating growth rate?
What is the formula for calculating growth rate?
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$Growth Rate = \frac{\text{Change in Value}}{\text{Original Value}}$. This formula calculates percent change relative to the starting value.
$Growth Rate = \frac{\text{Change in Value}}{\text{Original Value}}$. This formula calculates percent change relative to the starting value.
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Identify the rate in: 60 miles in 2 hours.
Identify the rate in: 60 miles in 2 hours.
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Rate is 30 miles per hour. Calculated by dividing $60 \div 2 = 30$ miles per hour.
Rate is 30 miles per hour. Calculated by dividing $60 \div 2 = 30$ miles per hour.
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Find the unit rate: 75 km in 1.5 hours.
Find the unit rate: 75 km in 1.5 hours.
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50 km per hour. Divide $75 \div 1.5 = 50$ km per hour.
50 km per hour. Divide $75 \div 1.5 = 50$ km per hour.
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Determine the rate: 6 liters in 3 minutes.
Determine the rate: 6 liters in 3 minutes.
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2 liters per minute. Divide $6 \div 3 = 2$ liters per minute.
2 liters per minute. Divide $6 \div 3 = 2$ liters per minute.
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Find the rate for 500 liters in 10 minutes.
Find the rate for 500 liters in 10 minutes.
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50 liters per minute. Divide $500 \div 10 = 50$ liters per minute.
50 liters per minute. Divide $500 \div 10 = 50$ liters per minute.
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Find the rate of 400 pages in 8 days.
Find the rate of 400 pages in 8 days.
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50 pages per day. Divide $400 \div 8 = 50$ pages per day.
50 pages per day. Divide $400 \div 8 = 50$ pages per day.
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What is the conversion factor from liters to cubic meters?
What is the conversion factor from liters to cubic meters?
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1 liter = 0.001 cubic meters. Volume conversion: 1000 liters equal 1 cubic meter.
1 liter = 0.001 cubic meters. Volume conversion: 1000 liters equal 1 cubic meter.
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Convert 100 centimeters into meters.
Convert 100 centimeters into meters.
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1 meter. Divide by 100 centimeters per meter: $100 \div 100 = 1$.
1 meter. Divide by 100 centimeters per meter: $100 \div 100 = 1$.
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Convert 2.5 hours into minutes.
Convert 2.5 hours into minutes.
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150 minutes. Multiply by 60 minutes per hour: $2.5 \times 60 = 150$.
150 minutes. Multiply by 60 minutes per hour: $2.5 \times 60 = 150$.
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What is the conversion factor from Celsius to Fahrenheit?
What is the conversion factor from Celsius to Fahrenheit?
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$F = \frac{9}{5}C + 32$. Multiply by $\frac{9}{5}$ then add 32 degrees.
$F = \frac{9}{5}C + 32$. Multiply by $\frac{9}{5}$ then add 32 degrees.
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What is the formula for calculating growth rate?
What is the formula for calculating growth rate?
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$Growth Rate = \frac{\text{Change in Value}}{\text{Original Value}}$. This formula calculates percent change relative to the starting value.
$Growth Rate = \frac{\text{Change in Value}}{\text{Original Value}}$. This formula calculates percent change relative to the starting value.
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Convert 3 gallons into liters.
Convert 3 gallons into liters.
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11.3562 liters. Multiply by 3.78541 liters per gallon: $3 \times 3.78541 = 11.3562$.
11.3562 liters. Multiply by 3.78541 liters per gallon: $3 \times 3.78541 = 11.3562$.
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Determine the rate: $15 for 3 pounds of oranges.
Determine the rate: $15 for 3 pounds of oranges.
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Rate is $5 per pound. Calculated by dividing $\$$15 \div 3 = $$5$ per pound.
Rate is $5 per pound. Calculated by dividing $\$$15 \div 3 = $$5$ per pound.
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How do you calculate the unit rate from a ratio?
How do you calculate the unit rate from a ratio?
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Divide the first quantity by the second. This creates a rate with denominator 1, showing quantity per single unit.
Divide the first quantity by the second. This creates a rate with denominator 1, showing quantity per single unit.
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Convert 5 feet into inches.
Convert 5 feet into inches.
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60 inches. Multiply by 12 inches per foot: $5 \times 12 = 60$.
60 inches. Multiply by 12 inches per foot: $5 \times 12 = 60$.
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What is the conversion factor from pounds to kilograms?
What is the conversion factor from pounds to kilograms?
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1 pound = 0.453592 kilograms. Standard imperial to metric mass conversion factor.
1 pound = 0.453592 kilograms. Standard imperial to metric mass conversion factor.
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Convert 8 ounces into grams.
Convert 8 ounces into grams.
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226.796 grams. Multiply by 28.3495 grams per ounce: $8 \times 28.3495 = 226.796$.
226.796 grams. Multiply by 28.3495 grams per ounce: $8 \times 28.3495 = 226.796$.
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Solve the proportion: $\frac{3}{4} = \frac{x}{8}$.
Solve the proportion: $\frac{3}{4} = \frac{x}{8}$.
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$x = 6$. Cross-multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
$x = 6$. Cross-multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
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What is the cross-multiplication step in $\frac{a}{b} = \frac{c}{d}$?
What is the cross-multiplication step in $\frac{a}{b} = \frac{c}{d}$?
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$ad = bc$. Multiply the outer terms and inner terms.
$ad = bc$. Multiply the outer terms and inner terms.
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Identify the ratio form for $a:b = c:d$.
Identify the ratio form for $a:b = c:d$.
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$\frac{a}{b} = \frac{c}{d}$. Colon notation converts to fraction form.
$\frac{a}{b} = \frac{c}{d}$. Colon notation converts to fraction form.
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If $x$ is to $y$ as $3$ is to $4$, express this as a proportion.
If $x$ is to $y$ as $3$ is to $4$, express this as a proportion.
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$\frac{x}{y} = \frac{3}{4}$. Direct translation of the verbal proportion statement.
$\frac{x}{y} = \frac{3}{4}$. Direct translation of the verbal proportion statement.
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What is the value of $x$ if $2:3 = 4:x$?
What is the value of $x$ if $2:3 = 4:x$?
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$x = 6$. Cross-multiply: $2x = 12$, so $x = 6$.
$x = 6$. Cross-multiply: $2x = 12$, so $x = 6$.
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Express the ratio $\frac{2}{5}$ as a percentage.
Express the ratio $\frac{2}{5}$ as a percentage.
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40%. Convert to decimal: $0.4 = 40%$.
40%. Convert to decimal: $0.4 = 40%$.
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State the formula for a proportion involving $a$, $b$, $c$, and $d$.
State the formula for a proportion involving $a$, $b$, $c$, and $d$.
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$\frac{a}{b} = \frac{c}{d}$. Two ratios set equal, forming an equation.
$\frac{a}{b} = \frac{c}{d}$. Two ratios set equal, forming an equation.
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Find the missing term: $7:x = 14:28$.
Find the missing term: $7:x = 14:28$.
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$x = 14$. Cross-multiply: $7 \times 28 = 14x$, so $196 = 14x$.
$x = 14$. Cross-multiply: $7 \times 28 = 14x$, so $196 = 14x$.
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Find the unit rate: 150 words in 3 minutes.
Find the unit rate: 150 words in 3 minutes.
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50 words per minute. Divide $150 \div 3 = 50$ words per minute.
50 words per minute. Divide $150 \div 3 = 50$ words per minute.
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Calculate the rate: 240 km in 4 hours.
Calculate the rate: 240 km in 4 hours.
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60 km per hour. Divide $240 \div 4 = 60$ km per hour.
60 km per hour. Divide $240 \div 4 = 60$ km per hour.
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Find the rate of 400 pages in 8 days.
Find the rate of 400 pages in 8 days.
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50 pages per day. Divide $400 \div 8 = 50$ pages per day.
50 pages per day. Divide $400 \div 8 = 50$ pages per day.
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Determine the rate: 500 meters in 100 seconds.
Determine the rate: 500 meters in 100 seconds.
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5 meters per second. Divide $500 \div 100 = 5$ meters per second.
5 meters per second. Divide $500 \div 100 = 5$ meters per second.
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Determine the unit rate: 300 miles in 6 hours.
Determine the unit rate: 300 miles in 6 hours.
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50 miles per hour. Divide $300 \div 6 = 50$ miles per hour.
50 miles per hour. Divide $300 \div 6 = 50$ miles per hour.
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Calculate the rate: 144 miles in 3 hours.
Calculate the rate: 144 miles in 3 hours.
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48 miles per hour. Divide $144 \div 3 = 48$ miles per hour.
48 miles per hour. Divide $144 \div 3 = 48$ miles per hour.
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Identify the rate: 100 gallons in 4 hours.
Identify the rate: 100 gallons in 4 hours.
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25 gallons per hour. Divide $100 \div 4 = 25$ gallons per hour.
25 gallons per hour. Divide $100 \div 4 = 25$ gallons per hour.
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Determine the rate: 6 liters in 3 minutes.
Determine the rate: 6 liters in 3 minutes.
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2 liters per minute. Divide $6 \div 3 = 2$ liters per minute.
2 liters per minute. Divide $6 \div 3 = 2$ liters per minute.
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Calculate the unit rate: 240 pages in 4 hours.
Calculate the unit rate: 240 pages in 4 hours.
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60 pages per hour. Divide $240 \div 4 = 60$ pages per hour.
60 pages per hour. Divide $240 \div 4 = 60$ pages per hour.
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Convert 5 quarts to liters.
Convert 5 quarts to liters.
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4.73176 liters. Multiply: $5 \times 0.946353 = 4.73176$ liters.
4.73176 liters. Multiply: $5 \times 0.946353 = 4.73176$ liters.
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Convert 100 square inches to square centimeters.
Convert 100 square inches to square centimeters.
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645.16 sq cm. Multiply: $100 \times 6.4516 = 645.16$ sq cm.
645.16 sq cm. Multiply: $100 \times 6.4516 = 645.16$ sq cm.
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What is the conversion factor from kilometers to miles?
What is the conversion factor from kilometers to miles?
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1 km = 0.621371 miles. Standard metric-imperial distance conversion.
1 km = 0.621371 miles. Standard metric-imperial distance conversion.
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Convert 500 milliliters to fluid ounces.
Convert 500 milliliters to fluid ounces.
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16.907 fluid ounces. Multiply: $500 \times 0.033814 = 16.907$ fluid ounces.
16.907 fluid ounces. Multiply: $500 \times 0.033814 = 16.907$ fluid ounces.
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What is the conversion factor from quarts to liters?
What is the conversion factor from quarts to liters?
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1 quart = 0.946353 liters. Standard US-metric volume conversion.
1 quart = 0.946353 liters. Standard US-metric volume conversion.
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What is the conversion factor from liters to quarts?
What is the conversion factor from liters to quarts?
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1 liter = 1.05669 quarts. Standard metric-US volume conversion.
1 liter = 1.05669 quarts. Standard metric-US volume conversion.
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What is the conversion factor from inches to centimeters?
What is the conversion factor from inches to centimeters?
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1 inch = 2.54 cm. Standard metric-imperial length conversion.
1 inch = 2.54 cm. Standard metric-imperial length conversion.
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Convert 5 miles to kilometers. Use 1 mile = 1.60934 km.
Convert 5 miles to kilometers. Use 1 mile = 1.60934 km.
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8.0467 km. Multiply: $5 \times 1.60934 = 8.0467$ km.
8.0467 km. Multiply: $5 \times 1.60934 = 8.0467$ km.
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What is the conversion factor from feet to meters?
What is the conversion factor from feet to meters?
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1 foot = 0.3048 meters. Standard imperial-metric length conversion.
1 foot = 0.3048 meters. Standard imperial-metric length conversion.
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Convert 15 inches to centimeters.
Convert 15 inches to centimeters.
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38.1 cm. Multiply: $15 \times 2.54 = 38.1$ cm.
38.1 cm. Multiply: $15 \times 2.54 = 38.1$ cm.
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Convert 30 pounds to kilograms.
Convert 30 pounds to kilograms.
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13.6078 kg. Multiply: $30 \times 0.453592 = 13.6078$ kg.
13.6078 kg. Multiply: $30 \times 0.453592 = 13.6078$ kg.
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What is the conversion factor from ounces to grams?
What is the conversion factor from ounces to grams?
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1 ounce = 28.3495 grams. Standard imperial-metric mass conversion.
1 ounce = 28.3495 grams. Standard imperial-metric mass conversion.
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Convert 500 square feet to square meters.
Convert 500 square feet to square meters.
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46.4515 sq meters. Multiply: $500 \times 0.092903 = 46.4515$ sq meters.
46.4515 sq meters. Multiply: $500 \times 0.092903 = 46.4515$ sq meters.
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What is the conversion factor from gallons to cubic meters?
What is the conversion factor from gallons to cubic meters?
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1 gallon = 0.00378541 cubic meters. Standard US-metric volume conversion.
1 gallon = 0.00378541 cubic meters. Standard US-metric volume conversion.
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Convert 60 km/h to mph.
Convert 60 km/h to mph.
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37.282 mph. Multiply: $60 \times 0.621371 = 37.282$ mph.
37.282 mph. Multiply: $60 \times 0.621371 = 37.282$ mph.
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What is the conversion factor from Fahrenheit to Celsius?
What is the conversion factor from Fahrenheit to Celsius?
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$C = (F - 32) \times \frac{5}{9}$. Standard temperature conversion formula.
$C = (F - 32) \times \frac{5}{9}$. Standard temperature conversion formula.
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Convert 200 square meters to square feet.
Convert 200 square meters to square feet.
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2152.78 sq feet. Multiply: $200 \times 10.7639 = 2152.78$ sq feet.
2152.78 sq feet. Multiply: $200 \times 10.7639 = 2152.78$ sq feet.
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What is the conversion factor from pounds to kilograms?
What is the conversion factor from pounds to kilograms?
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1 pound = 0.453592 kg. Standard imperial-metric mass conversion.
1 pound = 0.453592 kg. Standard imperial-metric mass conversion.
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Convert 20 liters to gallons. Use 1 liter = 0.264172 gallons.
Convert 20 liters to gallons. Use 1 liter = 0.264172 gallons.
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5.28344 gallons. Multiply: $20 \times 0.264172 = 5.28344$ gallons.
5.28344 gallons. Multiply: $20 \times 0.264172 = 5.28344$ gallons.
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Convert 10 kilograms to pounds. Use 1 kg = 2.20462 pounds.
Convert 10 kilograms to pounds. Use 1 kg = 2.20462 pounds.
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22.0462 pounds. Multiply: $10 \times 2.20462 = 22.0462$ pounds.
22.0462 pounds. Multiply: $10 \times 2.20462 = 22.0462$ pounds.
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Convert 50 centimeters to inches.
Convert 50 centimeters to inches.
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19.685 inches. Divide: $50 \div 2.54 = 19.685$ inches.
19.685 inches. Divide: $50 \div 2.54 = 19.685$ inches.
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Convert 250 grams to ounces.
Convert 250 grams to ounces.
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8.81849 ounces. Divide: $250 \div 28.3495 = 8.81849$ ounces.
8.81849 ounces. Divide: $250 \div 28.3495 = 8.81849$ ounces.
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What is the conversion factor from cubic meters to cubic feet?
What is the conversion factor from cubic meters to cubic feet?
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1 cubic meter = 35.3147 cubic feet. Standard metric-imperial volume conversion.
1 cubic meter = 35.3147 cubic feet. Standard metric-imperial volume conversion.
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Convert 40 gallons to cubic meters.
Convert 40 gallons to cubic meters.
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0.151416 cubic meters. Multiply: $40 \times 0.00378541 = 0.151416$ cubic meters.
0.151416 cubic meters. Multiply: $40 \times 0.00378541 = 0.151416$ cubic meters.
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What is the conversion factor from Celsius to Fahrenheit?
What is the conversion factor from Celsius to Fahrenheit?
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$F = C \times \frac{9}{5} + 32$. Standard temperature conversion formula.
$F = C \times \frac{9}{5} + 32$. Standard temperature conversion formula.
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Convert 98°F to Celsius.
Convert 98°F to Celsius.
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36.667°C. Calculate: $(98 - 32) \times \frac{5}{9} = 36.667$°C.
36.667°C. Calculate: $(98 - 32) \times \frac{5}{9} = 36.667$°C.
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Convert 10 liters to quarts.
Convert 10 liters to quarts.
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10.5669 quarts. Multiply: $10 \times 1.05669 = 10.5669$ quarts.
10.5669 quarts. Multiply: $10 \times 1.05669 = 10.5669$ quarts.
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What is the conversion factor from square inches to square centimeters?
What is the conversion factor from square inches to square centimeters?
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1 sq inch = 6.4516 sq cm. Standard imperial-metric area conversion.
1 sq inch = 6.4516 sq cm. Standard imperial-metric area conversion.
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What is the conversion factor from gallons to liters?
What is the conversion factor from gallons to liters?
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1 gallon = 3.78541 liters. Standard US-metric volume conversion.
1 gallon = 3.78541 liters. Standard US-metric volume conversion.
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What is the conversion factor from meters to feet?
What is the conversion factor from meters to feet?
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1 meter = 3.28084 feet. Standard metric-imperial length conversion.
1 meter = 3.28084 feet. Standard metric-imperial length conversion.
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What is the conversion factor from yards to meters?
What is the conversion factor from yards to meters?
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1 yard = 0.9144 meters. Standard imperial-metric length conversion.
1 yard = 0.9144 meters. Standard imperial-metric length conversion.
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What is the conversion factor from square feet to square meters?
What is the conversion factor from square feet to square meters?
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1 sq ft = 0.092903 sq meters. Standard imperial-metric area conversion.
1 sq ft = 0.092903 sq meters. Standard imperial-metric area conversion.
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Convert 3 cubic meters to cubic feet.
Convert 3 cubic meters to cubic feet.
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105.944 cubic feet. Multiply: $3 \times 35.3147 = 105.944$ cubic feet.
105.944 cubic feet. Multiply: $3 \times 35.3147 = 105.944$ cubic feet.
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What is the conversion factor from kilometers per hour to miles per hour?
What is the conversion factor from kilometers per hour to miles per hour?
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1 km/h = 0.621371 mph. Standard metric-imperial speed conversion.
1 km/h = 0.621371 mph. Standard metric-imperial speed conversion.
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What is the conversion factor from square meters to square feet?
What is the conversion factor from square meters to square feet?
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1 sq meter = 10.7639 sq feet. Standard metric-imperial area conversion.
1 sq meter = 10.7639 sq feet. Standard metric-imperial area conversion.
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What is the formula for finding the ratio of $a$ to $b$?
What is the formula for finding the ratio of $a$ to $b$?
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Ratio = $\frac{a}{b}$. Expresses the relationship between two quantities.
Ratio = $\frac{a}{b}$. Expresses the relationship between two quantities.
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Identify the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$.
Identify the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$.
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Extremes are $a$ and $d$. The outer terms in a proportion are the extremes.
Extremes are $a$ and $d$. The outer terms in a proportion are the extremes.
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What is the reciprocal of a ratio $\frac{a}{b}$?
What is the reciprocal of a ratio $\frac{a}{b}$?
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Reciprocal is $\frac{b}{a}$. Flip the numerator and denominator to find the reciprocal.
Reciprocal is $\frac{b}{a}$. Flip the numerator and denominator to find the reciprocal.
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State the Cross-Multiplication Rule for proportions.
State the Cross-Multiplication Rule for proportions.
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$a \times d = b \times c$ for $\frac{a}{b} = \frac{c}{d}$. Product of extremes equals product of means.
$a \times d = b \times c$ for $\frac{a}{b} = \frac{c}{d}$. Product of extremes equals product of means.
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Solve for $x$: $\frac{3}{x} = \frac{5}{15}$.
Solve for $x$: $\frac{3}{x} = \frac{5}{15}$.
Tap to reveal answer
$x = 9$. Cross multiply: $3 \times 15 = 5x$, so $x = 9$.
$x = 9$. Cross multiply: $3 \times 15 = 5x$, so $x = 9$.
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Express the ratio of 15 minutes to 1 hour as a fraction.
Express the ratio of 15 minutes to 1 hour as a fraction.
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$\frac{1}{4}$. Convert 1 hour to 60 minutes, then simplify $\frac{15}{60}$.
$\frac{1}{4}$. Convert 1 hour to 60 minutes, then simplify $\frac{15}{60}$.
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Convert the ratio 7:28 to its simplest form.
Convert the ratio 7:28 to its simplest form.
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$1:4$. Divide both terms by their GCD of 7.
$1:4$. Divide both terms by their GCD of 7.
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Which ratio is equivalent to $\frac{2}{3}$? $\frac{4}{6}$ or $\frac{3}{5}$?
Which ratio is equivalent to $\frac{2}{3}$? $\frac{4}{6}$ or $\frac{3}{5}$?
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$\frac{4}{6}$. Multiply numerator and denominator of $\frac{2}{3}$ by 2.
$\frac{4}{6}$. Multiply numerator and denominator of $\frac{2}{3}$ by 2.
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If $x : y = 3 : 4$, what is $\frac{x}{y}$?
If $x : y = 3 : 4$, what is $\frac{x}{y}$?
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$\frac{3}{4}$. Ratio notation directly converts to fraction form.
$\frac{3}{4}$. Ratio notation directly converts to fraction form.
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Find the value of $x$ if $\frac{5}{x} = \frac{10}{15}$.
Find the value of $x$ if $\frac{5}{x} = \frac{10}{15}$.
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$x = 7.5$. Cross multiply: $5 \times 15 = 10x$, so $x = 7.5$.
$x = 7.5$. Cross multiply: $5 \times 15 = 10x$, so $x = 7.5$.
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Simplify the ratio 50:100.
Simplify the ratio 50:100.
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$1:2$. Divide both terms by their GCD of 50.
$1:2$. Divide both terms by their GCD of 50.
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Find the missing term: $\frac{6}{9} = \frac{x}{3}$.
Find the missing term: $\frac{6}{9} = \frac{x}{3}$.
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$x = 2$. Cross multiply: $6 \times 3 = 9x$, so $x = 2$.
$x = 2$. Cross multiply: $6 \times 3 = 9x$, so $x = 2$.
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What is the simplest form of the ratio 18:24?
What is the simplest form of the ratio 18:24?
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$3:4$. Divide both terms by their GCD of 6.
$3:4$. Divide both terms by their GCD of 6.
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Convert the ratio 9:36 to simplest form.
Convert the ratio 9:36 to simplest form.
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$1:4$. Divide both terms by their GCD of 9.
$1:4$. Divide both terms by their GCD of 9.
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If $a : b = 7 : 3$, what is $\frac{b}{a}$?
If $a : b = 7 : 3$, what is $\frac{b}{a}$?
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$\frac{3}{7}$. For $a:b = 7:3$, we have $\frac{b}{a} = \frac{3}{7}$.
$\frac{3}{7}$. For $a:b = 7:3$, we have $\frac{b}{a} = \frac{3}{7}$.
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Express the ratio 20:5 in simplest form.
Express the ratio 20:5 in simplest form.
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$4:1$. Divide both terms by their GCD of 5.
$4:1$. Divide both terms by their GCD of 5.
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Find the value of $x$ if $\frac{x}{6} = \frac{3}{2}$.
Find the value of $x$ if $\frac{x}{6} = \frac{3}{2}$.
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$x = 9$. Cross multiply: $2x = 18$, so $x = 9$.
$x = 9$. Cross multiply: $2x = 18$, so $x = 9$.
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What is the simplest form of the ratio 10:25?
What is the simplest form of the ratio 10:25?
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$2:5$. Divide both terms by their GCD of 5.
$2:5$. Divide both terms by their GCD of 5.
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Express the ratio 14:42 in simplest form.
Express the ratio 14:42 in simplest form.
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$1:3$. Divide both terms by their GCD of 14.
$1:3$. Divide both terms by their GCD of 14.
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If $\frac{a}{b} = \frac{3}{5}$, what is $\frac{b}{a}$?
If $\frac{a}{b} = \frac{3}{5}$, what is $\frac{b}{a}$?
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$\frac{5}{3}$. Reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.
$\frac{5}{3}$. Reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.
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Simplify the ratio 16:64.
Simplify the ratio 16:64.
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$1:4$. Divide both terms by their GCD of 16.
$1:4$. Divide both terms by their GCD of 16.
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Find the missing value: $\frac{7}{x} = \frac{14}{28}$.
Find the missing value: $\frac{7}{x} = \frac{14}{28}$.
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$x = 14$. Cross multiply: $7 \times 28 = 14x$, so $x = 14$.
$x = 14$. Cross multiply: $7 \times 28 = 14x$, so $x = 14$.
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What is $x$ if $\frac{2}{x} = \frac{5}{10}$?
What is $x$ if $\frac{2}{x} = \frac{5}{10}$?
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$x = 4$. Cross multiply: $2 \times 10 = 5x$, so $x = 4$.
$x = 4$. Cross multiply: $2 \times 10 = 5x$, so $x = 4$.
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If $x : y = 5 : 2$, what is $\frac{y}{x}$?
If $x : y = 5 : 2$, what is $\frac{y}{x}$?
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$\frac{2}{5}$. For $x:y = 5:2$, we have $\frac{y}{x} = \frac{2}{5}$.
$\frac{2}{5}$. For $x:y = 5:2$, we have $\frac{y}{x} = \frac{2}{5}$.
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Express 3 out of 8 as a ratio.
Express 3 out of 8 as a ratio.
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$3:8$. Direct conversion from part-to-whole relationship.
$3:8$. Direct conversion from part-to-whole relationship.
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What is the simplest form of the ratio 12:48?
What is the simplest form of the ratio 12:48?
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$1:4$. Divide both terms by their GCD of 12.
$1:4$. Divide both terms by their GCD of 12.
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If $a : b = 4 : 5$, what is the value of $\frac{a}{b}$?
If $a : b = 4 : 5$, what is the value of $\frac{a}{b}$?
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$\frac{4}{5}$. Ratio notation $a:b$ equals the fraction $\frac{a}{b}$.
$\frac{4}{5}$. Ratio notation $a:b$ equals the fraction $\frac{a}{b}$.
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What is the formula for converting a ratio to a percentage?
What is the formula for converting a ratio to a percentage?
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Multiply the ratio by 100. Convert the ratio to decimal form, then multiply by 100.
Multiply the ratio by 100. Convert the ratio to decimal form, then multiply by 100.
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Express the proportion $\frac{1}{2} = \frac{n}{6}$ in words.
Express the proportion $\frac{1}{2} = \frac{n}{6}$ in words.
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1 is to 2 as $n$ is to 6. Standard verbal form of expressing proportional relationships.
1 is to 2 as $n$ is to 6. Standard verbal form of expressing proportional relationships.
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Identify the means in the proportion $\frac{a}{b} = \frac{c}{d}$.
Identify the means in the proportion $\frac{a}{b} = \frac{c}{d}$.
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Means are $b$ and $c$. The middle terms in a proportion are the means.
Means are $b$ and $c$. The middle terms in a proportion are the means.
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What is the ratio of 8 to 12 in simplest form?
What is the ratio of 8 to 12 in simplest form?
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$\frac{2}{3}$. Divide both numbers by their GCD of 4.
$\frac{2}{3}$. Divide both numbers by their GCD of 4.
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Solve for $x$: $\frac{x}{12} = \frac{3}{4}$.
Solve for $x$: $\frac{x}{12} = \frac{3}{4}$.
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$x = 9$. Cross multiply: $4x = 36$, so $x = 9$.
$x = 9$. Cross multiply: $4x = 36$, so $x = 9$.
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Determine if $\frac{8}{12}$ and $\frac{2}{3}$ are equivalent.
Determine if $\frac{8}{12}$ and $\frac{2}{3}$ are equivalent.
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Yes, they are equivalent. Both ratios simplify to $\frac{2}{3}$ when reduced.
Yes, they are equivalent. Both ratios simplify to $\frac{2}{3}$ when reduced.
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Express 25% as a ratio.
Express 25% as a ratio.
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$1:4$. 25% means 25 out of 100, which simplifies to $1:4$.
$1:4$. 25% means 25 out of 100, which simplifies to $1:4$.
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What is the ratio of 5 to 20 in simplest form?
What is the ratio of 5 to 20 in simplest form?
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$1:4$. Divide both terms by their GCD of 5.
$1:4$. Divide both terms by their GCD of 5.
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Convert the ratio 21:49 to simplest form.
Convert the ratio 21:49 to simplest form.
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$3:7$. Divide both terms by their GCD of 7.
$3:7$. Divide both terms by their GCD of 7.
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Determine if $\frac{15}{25}$ and $\frac{3}{5}$ are equivalent.
Determine if $\frac{15}{25}$ and $\frac{3}{5}$ are equivalent.
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Yes, they are equivalent. Both ratios reduce to $\frac{3}{5}$ in simplest form.
Yes, they are equivalent. Both ratios reduce to $\frac{3}{5}$ in simplest form.
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What is the definition of a proportion?
What is the definition of a proportion?
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A proportion is an equation stating two ratios are equal. Two ratios set equal to each other form an equation.
A proportion is an equation stating two ratios are equal. Two ratios set equal to each other form an equation.
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Convert the fraction $\frac{3}{4}$ to a ratio.
Convert the fraction $\frac{3}{4}$ to a ratio.
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$3:4$. A fraction $\frac{a}{b}$ is equivalent to the ratio $a:b$.
$3:4$. A fraction $\frac{a}{b}$ is equivalent to the ratio $a:b$.
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Solve for $x$: $\frac{4}{x} = \frac{8}{16}$.
Solve for $x$: $\frac{4}{x} = \frac{8}{16}$.
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$x = 8$. Cross multiply: $4 \times 16 = 8x$, so $x = 8$.
$x = 8$. Cross multiply: $4 \times 16 = 8x$, so $x = 8$.
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What is the conversion factor from milliliters to fluid ounces?
What is the conversion factor from milliliters to fluid ounces?
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1 mL = 0.033814 fluid ounces. Standard metric-US volume conversion.
1 mL = 0.033814 fluid ounces. Standard metric-US volume conversion.
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How do you calculate average speed?
How do you calculate average speed?
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$Average Speed = \frac{\text{Total Distance}}{\text{Total Time}}$. Total distance divided by total time for entire journey.
$Average Speed = \frac{\text{Total Distance}}{\text{Total Time}}$. Total distance divided by total time for entire journey.
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What is the formula for calculating speed?
What is the formula for calculating speed?
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$Speed = \frac{\text{Distance}}{\text{Time}}$. Distance divided by time gives rate of motion.
$Speed = \frac{\text{Distance}}{\text{Time}}$. Distance divided by time gives rate of motion.
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What is the unit rate for 30 dollars in 5 hours?
What is the unit rate for 30 dollars in 5 hours?
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6 dollars per hour. Divide $30 \div 5 = 6$ dollars per hour.
6 dollars per hour. Divide $30 \div 5 = 6$ dollars per hour.
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State the unit rate: 80 km in 4 hours.
State the unit rate: 80 km in 4 hours.
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20 km per hour. Divide $80 \div 4 = 20$ km per hour.
20 km per hour. Divide $80 \div 4 = 20$ km per hour.
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Calculate the rate of 72 km in 6 hours.
Calculate the rate of 72 km in 6 hours.
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12 km per hour. Divide $72 \div 6 = 12$ km per hour.
12 km per hour. Divide $72 \div 6 = 12$ km per hour.
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Find the unit rate for 90 miles in 3 hours.
Find the unit rate for 90 miles in 3 hours.
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30 miles per hour. Divide $90 \div 3 = 30$ miles per hour.
30 miles per hour. Divide $90 \div 3 = 30$ miles per hour.
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Calculate the rate for 200 liters in 5 minutes.
Calculate the rate for 200 liters in 5 minutes.
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40 liters per minute. Divide $200 \div 5 = 40$ liters per minute.
40 liters per minute. Divide $200 \div 5 = 40$ liters per minute.
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Calculate the rate for 500 km in 10 hours.
Calculate the rate for 500 km in 10 hours.
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50 km per hour. Divide $500 \div 10 = 50$ km per hour.
50 km per hour. Divide $500 \div 10 = 50$ km per hour.
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What is the unit rate for 120 dollars in 4 hours?
What is the unit rate for 120 dollars in 4 hours?
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30 dollars per hour. Divide $120 \div 4 = 30$ dollars per hour.
30 dollars per hour. Divide $120 \div 4 = 30$ dollars per hour.
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State the rate: 60 pages in 2 hours.
State the rate: 60 pages in 2 hours.
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30 pages per hour. Divide $60 \div 2 = 30$ pages per hour.
30 pages per hour. Divide $60 \div 2 = 30$ pages per hour.
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Find the unit rate: 75 km in 1.5 hours.
Find the unit rate: 75 km in 1.5 hours.
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50 km per hour. Divide $75 \div 1.5 = 50$ km per hour.
50 km per hour. Divide $75 \div 1.5 = 50$ km per hour.
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What is the unit rate for 180 km in 2 hours?
What is the unit rate for 180 km in 2 hours?
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90 km per hour. Divide $180 \div 2 = 90$ km per hour.
90 km per hour. Divide $180 \div 2 = 90$ km per hour.
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Calculate the rate for 240 pages in 8 hours.
Calculate the rate for 240 pages in 8 hours.
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30 pages per hour. Divide $240 \div 8 = 30$ pages per hour.
30 pages per hour. Divide $240 \div 8 = 30$ pages per hour.
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Find the rate: 360 km in 9 hours.
Find the rate: 360 km in 9 hours.
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40 km per hour. Divide $360 \div 9 = 40$ km per hour.
40 km per hour. Divide $360 \div 9 = 40$ km per hour.
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What is the rate for 60 meters in 15 seconds?
What is the rate for 60 meters in 15 seconds?
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4 meters per second. Divide $60 \div 15 = 4$ meters per second.
4 meters per second. Divide $60 \div 15 = 4$ meters per second.
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Find the rate for 500 liters in 10 minutes.
Find the rate for 500 liters in 10 minutes.
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50 liters per minute. Divide $500 \div 10 = 50$ liters per minute.
50 liters per minute. Divide $500 \div 10 = 50$ liters per minute.
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Calculate the unit rate: 100 miles in 5 hours.
Calculate the unit rate: 100 miles in 5 hours.
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20 miles per hour. Divide $100 \div 5 = 20$ miles per hour.
20 miles per hour. Divide $100 \div 5 = 20$ miles per hour.
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What is the unit rate of 180 miles in 3 hours?
What is the unit rate of 180 miles in 3 hours?
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60 miles per hour. Divide $180 \div 3 = 60$ miles per hour.
60 miles per hour. Divide $180 \div 3 = 60$ miles per hour.
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Convert 100 meters to yards.
Convert 100 meters to yards.
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109.361 yards. Divide: $100 \div 0.9144 = 109.361$ yards.
109.361 yards. Divide: $100 \div 0.9144 = 109.361$ yards.
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Convert 25°C to Fahrenheit.
Convert 25°C to Fahrenheit.
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77°F. Calculate: $25 \times \frac{9}{5} + 32 = 77$°F.
77°F. Calculate: $25 \times \frac{9}{5} + 32 = 77$°F.
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If a car travels at 60 mph, how far does it travel in 1.5 hours?
If a car travels at 60 mph, how far does it travel in 1.5 hours?
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90 miles. Multiply rate by time: $60 × 1.5 = 90$.
90 miles. Multiply rate by time: $60 × 1.5 = 90$.
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What is the rate if 240 units are produced in 8 hours?
What is the rate if 240 units are produced in 8 hours?
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30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.
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Calculate the rate: 150 miles in 3 hours.
Calculate the rate: 150 miles in 3 hours.
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50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.
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What is the conversion factor from hours to seconds?
What is the conversion factor from hours to seconds?
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1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
1 hour = 3600 seconds. 60 minutes × 60 seconds per minute = 3600 seconds.
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Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
Find the missing value in the proportion $\frac{9}{x} = \frac{3}{5}$.
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$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
$x = 15$. Cross multiply: $9 \times 5 = 3 \times x$, so $45 = 3x$.
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Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
Identify the missing term: $\frac{3}{4} = \frac{x}{8}$.
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$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
$x = 6$. Cross multiply: $3 \times 8 = 4 \times x$, so $24 = 4x$.
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What is the value of $x$ if $5:x = 2:3$?
What is the value of $x$ if $5:x = 2:3$?
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$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
$x = 7.5$. Cross multiply: $5 \times 3 = x \times 2$, so $15 = 2x$.
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State the formula for a proportion.
State the formula for a proportion.
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$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
$\frac{a}{b} = \frac{c}{d}$, where $a, b, c, d$ are quantities. States that two ratios are equal to each other.
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What is the definition of a ratio?
What is the definition of a ratio?
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A comparison of two quantities by division. Shows how many times one quantity contains another.
A comparison of two quantities by division. Shows how many times one quantity contains another.
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