y varies jointly as x and z. y=72 when x=6 and z=4. Find y when x=3 and z=6.

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11-11-2017
Mathematics

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y varies jointly as x and z. y=72 when x=6 and z=4. Find y when x=3 and z=6.

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swaggernaut swaggernaut · Answer 1 · 2017-11-11T22:20:51+01:00

swaggernaut swaggernaut

11-11-2017

This is a Joint variation problem which is solved using the equation y = k*x*z.

Solve for "k" using y=72 when x=6 and z=4.
72 = k*6*4
k = 3

Now put k back into the original equation of y= k*x*z and solve.

y = 3*3*6

y = 54

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