Question 25 - Type as an integer or simplified fraction

Question

If a varies directly as m and n^2 and inversely as y^3​, and a=9 when m=4​, n=9​, and y=3​, find a if m=5​, n=2​, and y=7.

a=____________

Answer 1

From description:

a=kmn²/y³ where k is the varies constant

9 = k4(9²)/3³ = k4(81)/27

k = 27(9)/(4(81)) = 3/4

a = (3/4)mn²/y³

when m=5, n=2 and y =7

a = (3/4)5(2²)/7³

Can you do the math?