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PLEASE HELP WILL AWARD BRAINLIEST IF GOOD EXPLANATION THANK YOU

x varies directly with y and inversely with [tex]z^{2}[/tex]. If x = 3 and y = 12 when z = 2, find y when x = 1 and z = 4.

Respuesta :

babemidehade

Answer:

16

Step-by-step explanation:

x∞y/z²

x=ky/z²(where k is the constant)

3=12/2²k

3=12/4k

3=3k

3÷3=k

therefore k=1

x=1y/z²

making y the subject

xz²=y

1(4²)=y

1×16=y

16=y