What would the budget be if he gets $44,000 annually. these are his expenses per month: $1,200 for rent. $600 for food. $350 for transportation. $150 for utilities. $300 for insurance. $400 for taxes. im just confused on how to find out what the budget is so i can find the percent.

Step-by-step explanation:

$1200+$600+$350+$150+$300+$400=$3000

=12*$3000=$36000

rent= 1200*100/3000=40%

food=600*100/3000=20%

trans=350*100/3000=11.7%

utilities=150*100/3000=5%

insurance=300*100/3000=10

taxes=400*100/3000=13.3%

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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)