X varies directly with y and inversely with z. x 5 when y 10 and z 5. Find x when y 20 and z 10x varies directly with y and inversely with z. x 5 when y 10 and z 5. Find x when y 20 and z 10x varies d?

Answer 1

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.