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Vilka [71]
3 years ago
7

How many solutions does 5(x+2)-3=3x-8x+7 have

Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

One solution.

Step-by-step explanation:

Step 1: Write equation

5(x + 2) - 3 = 3x - 8x + 7

Step 2: Solve for <em>x</em>

<u>Distribute 5:</u> 5x + 10 - 3 = 3x - 8x + 7

<u>Combine like terms:</u> 5x + 7 = -5x + 7

<u>Add 5x to both sides:</u> 10x + 7 = 7

<u>Subtract 7 on both sides:</u> 10x = 0

<u>Divide both sides by 10:</u> x = 0

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

5(0 + 2) - 3 = 3(0) - 8(0) + 7

5(2) - 3 = 7

10 - 3 = 7

7 = 7

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in a 7th grade class. There are 4 boys for every 5 girls, How many girls are in the class if there are 20 boys in the class
spin [16.1K]

Answer:

<u>Direct proportion</u>

4 boys = 5 girls

20 boys = 25 girls

4 0
3 years ago
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The perimeter of a rectangle is 87 ft. The length is x ft and the width is 19 ft. What is the length of the rectangle, in feet?
nikklg [1K]

Perimeter is all sides added up.

So, we know the width is 19ft and the length is x feet. We also know that the perimeter is 87 feet.

What we can do is make an equation to solve for x.

2x + 2(19) = 87

First, multiply 2 and 19.

2 x 19 = 38

2x + 38 = 87

Next, subtract 38 from both sides to move 38.

2x = 87 - 38

2x = 49

Lastly, divide both sides by 2 to get the value of x.

x = 49/2

x = 24.5

Thus, the length of the rectangle is 24.5ft

We can plug it into our equation to check if its correct.

2(24.5) + 2(19) = 87

24.5 x 2 = 49

2 x 19 = 38

49 + 38 = 87

7 0
3 years ago
A plumber charges 130 to start job plus 56 per hour . How many hours did she work if the total bill is 214
iragen [17]

Answer:

The plumber worked for 1.5 hours

Step-by-step explanation:

y = 130 + 56x

Substitute 214 for y in the equation

214 = 130 + 56x

-130   -130                      Subtract 130 from both sides

84 = 56x                         Divide both sides by 56

1.5 = x

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3 years ago
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damaskus [11]
The answer is -3

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There are 285 sixth graders going on a class trip to the museum.each bus can hold
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Answer:

12 Busses

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Step-by-step explanation:

275 in 11 busses and 10 in 12th bus

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