Question

A wooden garden tray with a base area of xy square inches is filled with soil up to a certain height. The tray contains (x2y + 10xy2 + 12xy) cubic inches of soil. The height of the tray is represented by the expression

x squared y plus 10 x y squared plus 12 x y all over xy

Which expression below is the correct simplified form of the height of the tray?

a. 11xy + 12
b. x + 10y + 12
c. x + 10xy2 + 12xy
d. x2y + 10xy2 + 12

Answer 1

Since the volume of the garden tray is equal to the base area multiplied by the height (V=B*H), the final expression for volume is equal to xy*height. Height is equal to the volume of the tray divided by its base (H=V/B). To find the height, factor xy (base area) out of each term in the given expression for volume: V=(x^2)y + 10x(y^2) + 12xy=xy(x+10y+12), height=(x+10y+12).

Answer 2

so it's b?

Answer 3

Yes

Answer 4

thanks!!!

Answer 5

your welcome :)