The rodriguez family dined at a restaurant. their bill came to $119, but they also have to pay a 9% tax and they plan to leave a tip of 22%.

which is a reasonable estimate of the total amount they will pay?
$121
$132
$144
$156

119  * .09 = 10.71

119+10.71= 129.71

129.71 * .22 = 28.54

129.71+28.54= 158.25

the answer closest to this is $156, so that is your answer.

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

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)