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Oxana [17]
3 years ago
6

Solving equation by multiplying

Mathematics
1 answer:
jeka943 years ago
6 0
Do you have a picture of the problem
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The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to r
kati45 [8]

The cost to rent each chair is $1.5 and cost to rent each table is $6.5

<h3>Applications of systems of linear equations </h3>

From the question, we are to determine the cost to rent each chair and each table

Let c represent chair

and

t represent table

From the given information,

The total cost to rent 5 chairs and 3 tables is $27

That is,

5c + 3t = 27 ------------ (1)

Also,

The total cost to rent 2 chairs and 12 tables is $81

That is,

2c + 12t = 81 ---------- (2)

Now, solve the equations simultaneously

5c + 3t = 27 ------------ (1)

2c + 12t = 81 ---------- (2)

Multiply equation (1) by 2 and multiply equation (2) by 5

2 × [5c + 3t = 27 ]

5 × [2c + 12t = 81 ]

10c + 6t = 54        ------------- (3)

10c + 60t = 405   ------------- (4)

Subtract equation (4) from equation (3)

10c + 6t = 54        

10c + 60t = 405

---------------------------

-54t = -351

t = -351/-54

t = 6.5

Substitute the value of t into equation (2)
2c + 12t = 81

2c + 12(6.5) = 81

2c + 78 = 81

2c = 81 - 78

2c = 3

c = 3/2

c = 1.5

∴ The cost of chair is $1.5 and cost of table is $6.5

Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Two rectangles we're used to form the following figure. Which measurement is closest to the area of the shaded region of this fi
Irina-Kira [14]

Answer:

44 cm

Step-by-step explanation:

You have to find the area of the bigger square and find the area of the smaller one. (Width x Height). Then subtract the smaller rectangle from the bigher one

6 0
2 years ago
Okay i need help with this question peoples
oksian1 [2.3K]

Answer:

B. √14

Step-by-step explanation:

The line shows point R which looks like it is 3.7 and the square root of 14 is 3.748.... So it is closest to the point R on the line.

Hope This Helps :)

6 0
3 years ago
Read 2 more answers
I NEED HELP ASAP PLEASEEEE!!!!!
earnstyle [38]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5)  x²  = 12² + 6²

         = 144 + 36

  x²  = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7)  x² = 7² + 576

        = 49 + 576

        = 625

x = √625

x = 25 in

8)  2.5² = 2²+ x²

6.25 = 4 + x²

6.25 - 4 = x²

x² = 2.25

x = √2.25

x = 1.5 yd

5 0
3 years ago
5 positive integers are arranged in ascending order, as follows:
Olegator [25]

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

5 0
3 years ago
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