SOLUTION: The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 19, z has the value 11.052631578947. What is the value of z when x= 19, and

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Question 1143193: The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 19, z has the value 11.052631578947.
What is the value of z when x= 19, and y= 24

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 19, z has the value 11.052631578947.
What is the value of z when x= 19, and y= 24
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11.052631578947 = 210/19
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z = k*x/y where k is some constant.
210/19 = k*14/19
k = 15
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What is the value of z when x= 19, and y= 24?
z = 15*19/24
z = 95/8
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You can do it without finding the value of k, but the answer is the same.

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