The answer is x=10.
If:
x=20
y=8
z=4
then:
y=8/2=4
z=4*2=8
since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.
m = 24
80
Since ( x ) varies directly with ( y ) and inversely with ( z ), we can express this relationship as ( x = k \frac{y}{z} ), where ( k ) is a constant. Given that ( x = 5 ) when ( y = 10 ) and ( z = 5 ), we can find ( k ): [ 5 = k \frac{10}{5} \implies k = 2. ] Now, to find ( x ) when ( y = 20 ) and ( z = 10 ): [ x = 2 \frac{20}{10} = 4. ] Thus, ( x ) equals 4.
57
xy = is a constant (k) so k = -360. When y = - 36, x = 10
1
m = 24
x = 24
80
290
3
25
y is 12
y=(320 x 25 )/ 40 = 200.
57
40
y = -5