Two children were bored on a family vacation so they decided to try and
find out how many miles per second they were traveling. they looked at the
speedometer of their car and it indicated that they were traveling at a speed of
60 mph. how many miles were they traveling each second?
-pls tysm ❤️

1/60 miles per second

Step-by-step explanation:

60mph divide by 60 cuz there are 60 mins in an hour and then 1 mile per min divide by 60 cuz there are 60 secs in a min and you get 1/60 miles per second

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)