If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?

when x= ,

z= 179.2 when y=

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

, where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=,

When y= 8, z= 4,

k= 4(8)

k= 32

When y= ,

z= 179.2

a=r

d=q

c=p

b=s

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step-by-step explanation: