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Find the volume of a cube that is five feet on each side.
To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.
(5ft)3 = 5ft*5ft*5ft = 125ft3
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The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.
Direct variation:
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What is the square root of 81?
9 * 9 = 81, and thus 9 is the square root of 81. It is true that (–9) * (–9) = 81, but it is a convention that "the square root" refers to the positive value. Had the question asked for "a square root" or "the square roots" of 81, –9 would be acceptable.
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What is (–16) * (–2)?
When multiplying two negative numbers, the negatives cancel each other out, leaving a positive solution, thus, we can think of (–16)(–2) as (16)(2), which is 32.
(–16) * (–2)
(–1)(16) * (–1)(2)
(–1)(–1) * (16)(2)
(1) * (16)(2)
16 * 2
32
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When multiplying with more than two integers, we count the number of negative signs. Since there is one, that means our answer is going to be negative. We multiply from left to right. Answer is .
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When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is .
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When multiplying with more than two integers, we count the number of negative signs. Since there are two, that means our answer is going to be positive. We multiply from left to right. Answer is .
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When multiplying with more than two integers, we count the number of negative signs. Since there are three, that means our answer is going to be negative. We multiply from left to right. Answer is .
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When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is .
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When multiplying a negative number and a positive number, our answer is negative. We just multiply normally. Answer is .
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Regardless if the number is positive or negative, anything multipled by zero is always zero. So .
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When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is .
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Evaluate 5x + 3y when x = 7 and y = 9.
Plug in 7 for x and 5 for y, giving you 5(7) + 3(9). This is equal to 35 + 27, which equals 62.
5x + 3y
5(7) + 3(9)
35 + 27 = 62
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A plane flies at a rate of 210mi/h. If the plane has flown for five hours, how many miles has it traveled?
Multiply the rate of travel (210 mi/hr) by the time traveled (5 hours), and you get the total distance, 1050 miles.
distance = rate * time
distance = (210mi/hr)(5hr)
distance = 1050mi
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Solve:
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If is an integer, which of the following must be odd?
While all of the answers could result in an odd answer, only guarantees an odd answer. Since any integer multiplied by 2 is even, adding 1 will always give the next consecutive odd integer.
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What is ?
Multiply the absolute values to get the magnitude of the answer.
Remember the following rules:
Positive * negative = negative
Positive * positive = positive
Negative * negative = positive
Since we are dealing with a positive and a negative, our answer will be negative.
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