Jackie and her mom want to make matching pairs of polka-dotted pajama pants. So, they go
to the craft store to pick out fabric. Jackie needs 4 feet of fabric for her pajamas, and her
mom needs 6 feet of fabric. But, the store only sells fabric by the yard. If they buy 4 yards of
fabric, how many feet will be leftover?
feet

1 yard of fabric left over

Step-by-step explanation:

So Jackie needs 1 and 1/3 yards of fabric for her pajamas

(4ft fabric/3ft needed in a yard)

And her mom needs 1 and 2/3 yards of fabric

(6ft fabric/3ft needed in a yard)

Now we add the two totals of fabric and subtract from 4 yards

1 2/3 +1 1/3 = 3yards

3yards - 4yards = 1 yard of fabric left over

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)

the answer is c 150

step-by-step explanation: