Frank is x years old Millie is 12 years younger than frank three times Millie age is equal to 132 write an equation to solve frank age x distributive property how old is frank how old is Millie

Frank is 56 years old

Millie is 44 years old

Step-by-step explanation:

Since three times Millie's age is 132, you can figure out her age by dividing 132 by 3. Since Frank's age is 12 years older than Millie's, add 12 to 132 divided by 3.

Millie's age equation:

x = 132/3

x = 44 years old

Frank's age equation:

x = (132/3) + 12

x = (44) + 12

x = 56 years old

x = 23.78

step-by-step explanation:

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)