Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos earned in May and June? Select all correct answers.

11z + 11y

Step-by-step explanation:

Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:

= Carlos payment per hour * Number of hours worked in a month

In May he worked z hours:

He earns $11 per hour and works z hours, expression for earnings for the month is:

= 11 * z

= 11z

In June he worked y hours:

= 11 * y

= 11y

The total he earned in both May and June is:

= 11z + 11y

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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)