w varies jointly as x and y and inversely as the square of z. If w=280 when x=30, y=12, and z=3, find w when x=20, y=10 and z=2

Accepted Solution

Hello! Its Me! :)Answer:The answer is 350. Step-by-step explanation:The joint variation of W with x, y and z may be expressed as follow,                                    W = kxy / z²where k is the constant of variation. Substituting the first set of values for the variables,                                   280 = k(30)(12) / 3²The value of k from the equation is 7. Substituting to the same equation the values of the next set of variables,                                      w = (7)(20)(10) / 2² = 350