Anouk has two dispensers that can each hold 1.25 liters. She fills them with liquid hand soap from a store that charges $0.19 for every 50 milliliters of soap.

How much does it cost Anouk to fill both of her dispensers with hand soap?

Enter your answer in the box.

$9.5

Step-by-step explanation:

Each dispenser holds 1.25 liters, so we have a total of 1.25*2 = 2.5 liters to be filled.

Each 50 milliliters of soap, that is, 0.05 liters, costs $0.19, so we can solve now using a rule of three:

0.05 liters of soap -> $0.19

2.5 liters of soap -> X

0.05/2.5 = 0.19/X

X = 2.5*0.19/0.05 = $9.5

It will cost $9.5 to fill both dispensers with soap.

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