Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

distribute –4 to get –8x + 4 > 5 – 3x.
distribute –4 to get –8x – 1 > 5 – 3x.
subtract 2x from both sides of the inequality.
add 1 to both sides of the inequality.

The correct option is A. Distribute –4 to get –8x + 4 > 5 – 3x

Step-by-step explanation:

The inequality is given to be : –4(2x – 1) > 5 – 3x

To solve this given inequality :

STEP 1 : Distribute -4 over 2x - 1

⇒ -8x + 4 > 5 - 3x

STEP 2 : Add -4 on both the sides

⇒ -8x > 1 - 3x

STEP 3 : Add 3x on both the sides

⇒ -5x > 1

Therefore, The correct first step to solve this inequality is : Distribute –4 to get –8x + 4 > 5 – 3x

Hence, The correct option is A. Distribute –4 to get –8x + 4 > 5 – 3x

10.4 inches

step-by-step explanation:

2x2x2.6

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)