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19 March, 22:06

The variable z is directly proportional to x, and inversely proportional to y. When x is 6 and y is 6, z has the value 12.

What is the value of z when x = 13, and y = 10

Round to at least the thousandths place if needed.

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  1. 19 March, 23:50
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    z is directly proportional to x: z = kx.

    If z is directly proportional to x and inversely proportional to y, then z = Kx/y.

    When x = 6 and y = 6, z is 12. Find the constant of proportionality, K:

    12 = K (6/6), or K = 12

    Then, in general, z = 12x/y.

    What is z when x=13 and y=10? z = 12 (13) / (10) = 15.6 (answer)
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