Achemical company makes two brands of antifreeze. the first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. in order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

60 gallons of 70% antifreeze

Step-by-step explanation:

Let n be the amount of 70% antifreeze. And the second brand was 45% pure anti freeze Then:

According to the question

0.7 n+.45(150-n)=0.55(150)

 0.7 n+67.5-0.45 n=82.5

0.25×n=15

n=15/.25 = 60

You need 60 gallons of 70% antifreeze, and 90 gallons of 45% antifreeze for this mixture

$15 each

step-by-step explanation:

$45/3 children= $15 each

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.