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Molodets [167]
2 years ago
11

How do I Factor -12 out of -24k + 120

Mathematics
2 answers:
Minchanka [31]2 years ago
8 0

Divide each piece by -12

(-24k)/(-12) = 2k

120/(-12) = -10

So we go from -24k+120 to -12(2k-10)

We can use distribution to check if we got the right answer

-12(2k-10) = -12*(2k) - 12(-10) = -24k + 120

So the answer is confirmed.

Juli2301 [7.4K]2 years ago
4 0

Answer:

-12(2k-10)

Step-by-step explanation:

You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.

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Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h
natulia [17]

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

<h3>Harry earns $26 an hour</h3><h3>Hamish earns  $20 an hour</h3>
7 0
3 years ago
Read 2 more answers
In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
zysi [14]

Answer:

the answer is  

Step-by-step explanation:

The proportion of coconut milk in the cocktail is  ml for every 15 ml of orange juice.

Proportion shows the fractional composition of a given quantity or substance.

So that:

orange juice = 15 ml

contents of the orange juice;

apple juice = 25 ml

coconut milk = 10 ml

total              = 35 ml

So that;

the fraction of apple juice in the orange juice =  x 15

                                          =

the fraction of apple juice in the orange juice =  ml

Also,

the fraction of coconut juice in the orange juice =  x 15

                                        =

the fraction of coconut juice in the orange juice =  ml

Therefore, the proportion of the cocktail that is coconut milk is: for every 15 ml of orange juice, then  ml of coconut juice is required.

3 0
2 years ago
COS (377= 32
Elanso [62]
The answer is c because the remaining number would be 10
4 0
3 years ago
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SCORPION-xisa [38]
The answer is 7 because it goes 10th 100th and the thirty one is thousands
4 0
3 years ago
F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
2 years ago
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