5. audrey lorenz assembles gift baskets for a florist. the owner pays her $0.55 per small basket and
$0.85 per large basket. on tuesday, she assembled 288 small baskets and 72 large ones. what is he
total pay?

219.6

Step-by-step explanation:

small basket:

0.55×288

=158.4

big basket:

0.85x72

=61.2

add up:

219.6

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