Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid for each job. Tim gets $12 for mowing lawn, $9 for washing cars, and $7 for walking dogs. Tim owes his mother $23. What possible combination of jobs could Tim perform to earn
enough money to pay back his mother? Write an addition equation using integers to represent the
situation. Will he have money left over? Select the correct choice below and fill in the answer boxes to complete your choice.

D

Step-by-step explanation:

D is the only option where Tim has 23 or more dollars earned.

To show this I will solve each equation...

A) (-23)+9+9 = (-23)+18= -5

-5 < 0 so A doesn't work

B) (-23)+7+7+7 = (-23)+21= -2

-2 < 0 so B doesn't work

C) (-23)+12+9 = (-23)+21= -2

-2 < 0 so B doesn't work

D) (-23)+12+12 = (-23)+24= 1

1 > 0 so D does work!

* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.

Hope this Helps!

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)

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.