1Margot, the manager of a coffee shop, is planning to order aprons for each of her employees. The cloth aprons cost $4 each, while the leather aprons cost $12 each. There are 15 employees at the shop, so she needs to order at least 15 aprons. Margot determines that $120 is the maximum amount that can be spent on all of the aprons. Assume x represent the cloth aprons and y represent the leather aprons,

Part A Which inequalities represent the cost constraints? Select two.

a. 4x + 12y = 120
b. 4x + 12y 120
C. 4x + 12y 15
d. x+y< 120
e. x + y = 15
f. x+y 15

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation:

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

hey there! : )

4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

~hope i ! ~