Bill is shopping for folders, notebooks, and pencils for the first day of school. a notebook costs 4 times as much as a folder. a notebook costs 2 times as much as a set of pencils. each folder costs $2. determine the total cost for 1 folder, 1 notebook, and 1 set of pencils.

$14

Step-by-step explanation:

Assuming the cost of folder to be , then the cost of notebook will be and the cost of set of pencils will be .

Cost of the folder = $2

Cost of notebook = 4 × 2 = $8

Cost of pencil = 2 × 2 = $4

Total cost of 1 folder, 1 notebook and 1 set of pencils = $2 + $8 + $4 = $14

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb