The average of Landry’s test scores must be at least 92 for her to make an A in Algebra class. She got a 95 on her first test. What grade can Landry get on her second test to make an A in the class?

Average is determined by the sum of test scores divided by total number of tests. This can be represented in this equation:

95 + X / 2 = 92 ⇒ Multiply both sides by 2 to get of the divided by 2

95 + X /2 (2) = 92 (2)

95 + X = 184 ⇒ Subtract 95 from both sides to isolate x

95 -95 + X = 184 -95

X = 89

Therefore, they must get at least 89% to maintain an A.

c is the answer

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)