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2 years ago

Use the reverse of the distributive property to find the original expression. 5a + 10b - 25c

1 answer:

8 0

In the distributive property, we distribute something from the outside of the parentheses into the inside of the parentheses by multiplying . The reverse would be pulling a common factor from inside to the outside by dividing (factoring). In order to do this we have to find something common to everything in the parentheses. a, b, and c are not common, so let's look at the numbers...
5, 10, and 25 all have a factor of 5, so we need to divide each thing in the parentheses by 5 and bring it to the outside...

5a + 10b - 25c =

(5a/5)+(10b/5)-(25c/5)

5(a + 2b - 5c)

Done!

If you want to check it, do the distributive property and multiply 5 through the parentheses and you should get your original expression.

5(a + 2b - 5c) =
5a + 10b - 25c

It checks!

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Which equation describes this line (1,10) (-3,2)

zubka84 [21]

Find the slope first:
m=y2-y-1/x2-x1

m=2-10/-3-1
m= -8/-4
m= 2

Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b

Rewrite the equation with your slope &intercept:

y=2x + 8

That's ^ the equation that describes your line!

6 0

2 years ago

What is the solution to this inequality?<br>4(2x + 2) + 12 > 100

Umnica [9.8K]

Answer:

Step-by-step explanation:

x>10

x(then the weird E looking sign, then) (10,infinity)

4 0

3 years ago

A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbohydrates. A quarter pound of lean red meat provi

Tems11 [23]

Answer:

glasses of milk=4

quatar pounds servings of meat =5

two slices of whole grains bread =8

Step-by-step explanation:

Let m= milk

r=meat

b=bread

0.1m+3.4r+2.2b=35 (1)

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (1) by 85 and (2) by 1

8.5m+289r+187b=2,975 (4)

8.5m+22r+10b=224 (5)

Subtract (5) from (4)

267r+177b=2,751 (6)

Recall,

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (2) by 1 and (3) by 8.5

8.5m+22r+10b=224 (7)

8.5m+170r+102b=1700 (8)

Subtract (7) from (8)

148r+92b=1,476 (9)

Recall,

267r+177b=2,751 (6) and

148r+92b=1,476 (9)

Multiply (6) by 148 and (9) by 267

26196b=407,148 (10)

24564b=394,092 (11)

Subtract (11) from (10)

1,632b=13,056

Divide both sides by 1,632

b=13,056/1,632

b=8

Substitute the value of b in (9)

148r+92b=1,476 (9)

148r+92(8)=1,476

148r+736=1,476

148r=1,476-736

148r=740

Divide both sides by 148

r=740/148

r= 5

Substitute the value of b and r in (1)

0.1m+3.4r+2.2b=35 (1)

0.1m+3.4(5)+2.2(8)=35

0.1m+17+17.6=35

0.1m+34.6=35

0.1m=35-34.6

0.1m=0.4

Divide both sides by 0.1

m=0.4/0.1

m=4

4 glasses of milk, 5 quatar pounds servings of meat and 8 two slices of whole grains bread will supply the required nutrients.

8 0

3 years ago

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexic

Shtirlitz [24]

The question is incomplete:

Before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. When he returned from Mexico, he had 100 pesos left.

How much will he receive when he exchanges these pesos for dollars?

Answer:

9 dollars

Step-by-step explanation:

To find the amount that Levant will receive when he exchanges these pesos for dollars, you can use a rule of three using the information provided:

270 dollars → 3,000 Mexican pesos

x ← 100 Mexican pesos

x=(270*100)/3,000=9 dollars

According to this, the answer is that he will receive 9 dollars.

4 0

2 years ago

Which is the sum of two or more different monomials?

Ne4ueva [31]

Answer: Polynomial

Step-by-step explanation:

8 0

2 years ago