Please solve with explanation

a) x=-a, x=a+b

b) x=5/2a, x=1/3b

c) x=1/2a, x=a/a-2

Step-by-step explanation:

a) (x-a)(x-a)-b(x+a)=0

   (x+a)(x-a-b)=0

   x=-a, x=a+b

b) 3x(2x-5a)-b(2x-5a)=0

   (2x-5a)(3x-b)=0

   x=5/2a, x=1/3b

c) (2a-4)x^2=a^2(x-1)

   (2x-a)(ax-2x-a)=0

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

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)