Which of the following equations have exactly one solution? Choose all answers that apply: Choose all answers that apply: (Choice A) A -5x+12=-5x-12−5x+12=−5x−12minus, 5, x, plus, 12, equals, minus, 5, x, minus, 12 (Choice B, Checked) B -5x+12=5x+12−5x+12=5x+12minus, 5, x, plus, 12, equals, 5, x, plus, 12 (Choice C) C -5x+12=-12x-12−5x+12=−12x−12minus, 5, x, plus, 12, equals, minus, 12, x, minus, 12 (Choice D) D -5x+12=5x-5−5x+12=5x−5

the expected value of the random variable : 0, 1 and 2

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)