3. emma has $100 to spend at the pet store. she needs
to buy 1 bag of dog food and 2 chew toys. will
emma have enough money left over to buy 3 times
as many catnip toys as chew toys? explain.
.
.
.
data
barky's pet store
product : cost
bag of dog food : $35
bag of cat food : $18
chew toy12
catnip toy9

4. az vocabulary define partial products. what partial
products can you use to find how much 6 bags of cat
food will cost?

she will have enough for the cat and dog food.the 6 cat food bags will be $108

step-by-step explanation:

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)