Skyler has twice as many apples in her grocery bag as her friends Macy and Janelle combined. Macy has 15 apples
in her bag. Skyler has 50 apples in her bag. How
many apples does Janelle have in her grocery bag?

The equation 2(x + 15) = 50 models this situation. Which choice shows the
sequence of operations needed to solve this problem, using both arithmetic
and algebra?

A. Subtract 15 divide by 2 X = 35/2

B. Subtract by 15 divide by 2 X = 10

C. Divide by 2 subtract by 15 X = 10

D. Divide by 2 subtract by 15 X = 35/2

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 z7+8/5

$25 becasue a 10 increase would make it from 80 to 50

first 15 divide by 2 = 7.5

100 divided by 7.5 is 13.

15 / 2 = 7.5

100 / 7.5 = 13.