1. Mary is planning to take a trip to Las Vegas. The plane tickets cost $250 and the hotel cost $75 per night. If Mary doesn't want to spend more than $950, what is the
maximum number of nights she can stay at the hotel?

answer: 12

step-by-step explanation:

because yes

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

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"