Question 1202215
If y varies jointly as m and p and inversely as the cube root of w.  If  y = 12, when m = 3, p = 2, and w = 512, find y when m = 5, p = 2, and w = 125. 

 y varies jointly as m and p and inversely as the cube root of w

{{{ y (alpha) (m*p/w)}}}


{{{ y =  k (m*p/w)}}}

 If  y = 12, when m = 3, p = 2, and w = 512, Find k

12= k* (3*2)/512

k = 12*512/6
k = 1024

You know k now 
find y when m = 5, p = 2, and w = 125.  k=1024

plug in the equation and find y