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Veronika [31]
2 years ago
11

Use words and math to explain why these two expressions are equivalent.

Mathematics
2 answers:
mote1985 [20]2 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Let’s manipulate 3h+2-6+5h to show how it is equal to 2(4h-2)

Combine like-terms:

3h+2-6+5h = 8h-4

Then, factor out the greatest common factor (in this case it’s 2):

8h-4 = 2(4h-2)

If you want to verify how to above is true, just combine them again!

Sunny_sXe [5.5K]2 years ago
5 0

Answer:

here

Step-by-step explanation:

when given the first set, you combine like terms so you add 5h and 3h together and -6 and 2 are combined, so the first one is 8h -4. The second set you distribute 2 to 4h and -2 getting you 8h and -4 as well

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Translating a sentence into a multi-step equation
Kryger [21]

Answer:7x-4= 3

Step-by-step explanation:

4 less than the product of 7 and a number is equal to 3.

The answer is 7x-4= 3 beacuse:

(a.  whenever you have something less than , the first number in the sentence (in this cacse 4) goes after the second number (in this case 7) with a subtraction sign in the middle. (imagine this equation looking like 7-4 <u>for now)</u>.Thats a little trick i use whenever i have to write "something less than something"

(b. okay so now we know it has to be 7 times somethig -4=3, but now we just need to write the "product of 7 and a number" in proper form. in other words, whenever you get somethig times a number, it is always going to be  that number with an x right next to it. so thats why i made it 7x.

(c. "equals 3" is easy because you just turn it into an "=3".

(d. Now put it together. "4 less than the product of 7 and a number is equal to 3." becomes 7x-4=3.

Hope this helps :)) Also brainliest would be appreciated, worked pretty hard on this ! :D

5 0
1 year ago
Answer this please!!!
vivado [14]

Answer:

$40

Step-by-step explanation:

5 0
2 years ago
(-8,-2) and (-4,6)<br>what does y =​
larisa86 [58]
Do you have an equation to go with that?
6 0
3 years ago
A local store is advertising a shirt on sale for 40% off the original price. The sale price is $21.00. What was the original pri
pishuonlain [190]

Answer:

  $35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

  21 = 0.60p

  21/0.60 = p = 35

The original price is $35.00.

8 0
2 years ago
It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of
max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

x+y=1770\text{   -----------(1)}

If there are 3 females for every 2 males, we have that:

\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{   ----------(2)} \end{gathered}

We can substitute equation (2) into equation (1) and solve for y:

\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}

Dividing both sides by 5, we have

y=1062

There are 1062 females in the county.

3 0
1 year ago
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