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madam [21]
3 years ago
11

A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to re

nt 9 chairs and 7 tables is $86. What is the cost to rent each chair and each table?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

-9c-15t=-156

3. Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

4. You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

5. Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

3c=8.25

8. Divide both sides by 3 to get your c value:

c=2.75

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3 years ago
The perimeter of the picture frame is 38 inches. The width of the frame is 7 inches, what is the length?
o-na [289]

Answer:

12 inches

Step-by-step explanation:

So you know that the perimeter of a picture frame (a rectangle) is 2 widths plus 2 lengths.

Let x= lengths and w= widths

From the question we already know that w=7, so we can set up an equation that says:

2x + 2w = 38

2x + 2(7) = 38

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2x +14 -14 = 38-14

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4 years ago
Mr.Harris worked 40 hours this week. He also got a bonus of $180. He made a total $780. How much does Mr. Harris earns per hour?
Aloiza [94]

Answer: $15

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7 0
3 years ago
What is 4 minus 1 5/12
klasskru [66]

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So, let's rewrite 4 and 0/12 as 3 + 1 and 0/12 or 3 + 12/12 by changing 1 and 0/12 into an improper fraction.

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So 5 - 1 and 5/12 is 2 and 7/12.

4 0
3 years ago
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