The wind blew away 32 of your muffins.
4/5 of all of them! With how
many did you start?

Hey there! I'm happy to help!

We see that 32 muffins is 4/5 of the total. Let's call our total t. The word is always means equals. Therefore we can create the following equation.

4/5t=32

We simply divide both sides by 4/5.

t=40

Therefore, we started with 40 muffins.

Have a wonderful day! :D

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)