Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

Here, we can see that the independent variable is the number of stickers, so we'll call that . Each sticker costs $2 to make, so we'll write that as . The cost of the machine is always the same ($22), so we call that a constant.

So far, we have as the cost of making number of stickers.

Now, we need to describe the revenue gained by selling number of stickers. We know that Carla wants to sell the stickers at $3 each, which we can write as .

"Breaking even" means that your costs equal your income. In other words, it's the point at which Carla's sold exactly enough stickers to make all of her initial investment back. In math, we use an equal sign to describe this. Hence, we end up with the equation:

The salesman will sell either more than 5 cars or less than 5.

Therefore, only one set of the equations will be true for any one month.

The word between the expressions needs to be "or."

The total profit is expressed by 30,000x.

The commision can be calculated as .

The higher commision must be matched to the equation for greater amount of cars sold, .

Take every word and translate into math.

less than means that you need to subtract from something.

That something is so just combine them to have an expression of .

Natural log is the log that has a base of . Do not confuse this with because this has a default base of unless the base is specified.

Twice a number:

The natural log of twice a number:

Three more than the natural log of twice a number:

The answer is:

Break up the sentence into parts.

The quantity of six less than twice a number:

The fifth root of the quantity of six less than twice a number:

The answer is:

Break up the sentence into parts.

Twice a number raised to the tenth power:

Three less than twice a number raised to the tenth power:

The answer is:

Split the sentence into parts.

The square of a number:

Six times the square of a number:

The fourth root of the quantity of six times the square of a number:

Nine times the fourth root of the quantity of six times the square of a number:

The answer is:

An expression cannot contain an equal sign or inequality sign.

Start with the quantity.

Five times a number less than five:

Nine times the quantity of five times a number less than five:

The answer is:

Break up the statement into parts.

Eight times a number:

The square root of eight times a number:

Five times the square root of eight times a number:

The answer is: