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If y varies directly as x and inversely with z,and y=25 when x=10 and z=2,find y when x=18 and z=9

If y varies directly as x and inversely with z,and y=25 when x=10 and z=2,find y when-example-1

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Final answer:

Given the direct and inverse proportionality, the constant of proportionality was found to be 5.

Subsequently, y was calculated as 10 when x is 18 and z is 9.

Step-by-step explanation:

If y varies directly as x and inversely with z, we can represent this relationship with the equation y = k(x/z), where k is the constant of proportionality.

Given that y=25 when x=10 and z=2, we can find k by substituting these values into the equation:

25 = k(10/2), thus, k = 5.

To find y when x=18 and z=9, we substitute these values and our constant k into the original equation:

y = 5(18/9),

y = 5(2),

y = 10.

Therefore, y is 10 when x=18 and z=9.

User David Mohundro
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