In cross-country, the team score is determined by the place each individual runner
finishes. in their latest
meet, the boys' cross-country team scored 55 points. if there were five runners on the
team and each runner finished one after another, what places did they each come in

step-by-step explanation:

the answer is 128

i believe it's a.

i'm not sure on this one, most likely correct.

hello from mrbilldoesmath!

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: