5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? ​

Step-by-step explanation:

⟾ 1 year income = $32,000

⟾ Change this year to month

⟾ 1 year = 12 months

⟾ 12 months = $32,000.

⟾ finding the 1 month income

⟾ 12 months income = $32,000

⟾ so, 1 month income = $32,000/12

⟾ 1 month income = $2666•66.

Hope it's helps you

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)