A college student takes the same number of credits each semester. She had 12 credits when she started, and after 6 semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?

x = 14

Step-by-step explanation:

Credits = 12  Semesters = 6   Total Credits = 96

6x = 96 - 12

6x = 84

Divide 6x = 84 by 6.

x = 14

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)