1) Maya needs 54 cubic feet of soil for her garden. She already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should Maya
purchase?
1) 36
2) 12
3)33
4)9

3) 33 bags

Step-by-step explanation:

she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.

If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb