The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 18, Z has the value 2. What is the value of Z when X = 19, and Y = 22

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asked Sep 15, 2018 87.0k views

5 votes

The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 18, Z has the value 2.

What is the value of Z when X = 19, and Y = 22

Mathematics
middle-school

Lithium asked

by Lithium

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1 Answer

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z = kx/y
2 = (k *12)/18
multiply both sides by 18
36 = k * 12
divide both sides by 12
3 = k

z = 3x/y
z = (3 * 19)/22
z = 57/22

Peonicles answered Sep 21, 2018

by Peonicles

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