Respuesta :

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

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