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Allushta [10]
3 years ago
12

A hose is able to fill a pool in 17 hours. The drain in the bottom of the pool will drain a pool in 32 hours. If both

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

36hr 16min

Step-by-step explanation:

1pool/17hr - 1pool/32hr = 1 pool/xhr

1/17 - 1/32 = 1/x

Use common denomminator of 17*32 = 544

32/544 - 17/544 = 1/x

15/544 = 1/x

x = 544/15

x = 36 4/15 hr

x = 36hr 16min

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6x-24<br> 2x+12 <br> Solve for X
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Answer:

x = 9

Step-by-step explanation:

Simplifying

6x + -24 = 2x + 12

Reorder the terms:

-24 + 6x = 2x + 12

Reorder the terms:

-24 + 6x = 12 + 2x

Solving

-24 + 6x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-24 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x

-24 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0

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Add '24' to each side of the equation.

-24 + 24 + 4x = 12 + 24

Combine like terms: -24 + 24 = 0

0 + 4x = 12 + 24

4x = 12 + 24

Combine like terms: 12 + 24 = 36

4x = 36

Divide each side by '4'.

x = 9

Simplifying

x = 9

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