The lasalle high school senior class raised funds for an end of the year cruise getaway. the city gave them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees and taxes. it costs $367 per student to board the cruise. if your class raised $16,600, how many students can attend?

answer: r there any options?

step-by-step explanation:

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