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lesya692 [45]
3 years ago
9

The prism has a volume up to 150.find the length of the prism

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

<u>Step 1</u>

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

<u>Step 2</u>

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

150 / 20=7.5

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

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Answer:

She has 4 quarters, 13 dimes, and 10 nickels in her purse

Step-by-step explanation:

Let q be the amount of quarters, d be the amount of dimes, and n be the amount of nickels she has in her purse. We can use this to set up a system of equations:

25q+10d+5n=280

This is because a quarter is 25 cents, a dime is 10 cents, and a nickel is 5 cents. We also have to convert $2.80 to cents since all our other values are in cents.

d=q+9

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We can solve this system using substitution (substitute q+9 for d and q+6 for n)

25q+10(q+9)+5(q+6)=280

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d=q+9=4+9=13

n=q+6=4+6=10

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