Find the Least Common Multiple (LCM) by first finding the prime factors 1. 3, 4, 8, 12

2. 6, 9, 14

3. a²c, ac², 6ac

4. a²b, 4abc, bc²

5. (a²– b²), (a – b), 5(a + b)

6. (x²– x), (x² – 1)

7. (4x² – 4x + 1),
(4x² + 4x – 3)

HEL PLEASSSEEE

step-by-step explanation:

the answer is 128

the answer is b.

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)