Use the work below to simplify the expression –5 + b + 2a2 – 3b + 4. 1. Identify like terms: –5 and 4 b and –3b 2. Combine like terms: –5 + 4 = –1 b – 3b = –2b 3. Simplify the expression: What is the expression in its simplest form? –2b – 1 –2b+ 2a2 2a2 + 2b + 1 2a2 – 2b – 1

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)

multiply each one by 3.14

step-by-step explanation: