Xvaries directly and inversely with z. x=20 when y=8 and z=4 . find x when y=4 and z =8

Value of x = 5 .

Step-by-step explanation:

Combined variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them and varies inversely with others.

Given: x varies directly with y and inversely with z.

i.e and

then we have the combined variation as;

......[1] where k is the constant variation.

Substitute the value of x =20 when y =8 and z = 4 to solve for k;

Simplify:

Divide both sides by 2 we get;

Now, substitute k =10 , y =4 and z = 8 to find x;

Using [1] we have;

Therefore, the value of x is, 5

1; 35 is the ratio

step-by-step explanation:

5/12, or 5: 12

step-by-step explanation: