find an equation of variation in which y varies jointly as x and z and inversely

[Aakanksha]

find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p, where y=5/58 when x=5, z=14, w=7, p=8

[Aakanksha]

To find the equation of variation for y, which varies jointly as x and z and inversely as the product of w and p, you can set up a proportionality equation like this:

y = k * (x * z) / (w * p)

Now, you can solve for the constant of variation, k, using the given values for y, x, z, w, and p:

y = k * (x * z) / (w * p)
5/58 = k * (5 * 14) / (7 * 8)

Now, let’s solve for k:

k = (5/58) * (7 * 8) / (5 * 14)
k = (5/58) * (56/70)
k = (5 * 56) / (58 * 70)
k = 280 / 4060
k = 70 / 1015

Now that you have found the value of k, you can write the equation of variation:

y = (70/1015) * (x * z) / (w * p)

This is the equation of variation in which y varies jointly as x and z and inversely as the product of w and p.

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