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Delicious77 [7]
3 years ago
11

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $23. The total cost to re

nt 6 chairs and 5 tables is $43. What is the cost to rent each chair and each table?
Mathematics
2 answers:
Mumz [18]3 years ago
7 0

Answer: Table = 6.50; Chair = 1.75

Step-by-step explanation:

2c + 3t = 23

6c + 5t = 43

Multiply the first equation by -3

-6c - 9t = -69

Then, add the following lines together:

-6c -9t = -69

6c +5t = 43

-4t = -26

t = -26/-4 = 6.5

Plug in the value of t into 2c +3t = 23

2c +19.5 = 23

Subtract 19.5 from both sides

2c = 3.5

c = 3.5/2 = 1.75

lidiya [134]3 years ago
5 0

Answer:

chairs: $1.75, tables: $6.50

Step-by-step explanation:

x is tables, y is chairs.

3x +2y=23

5x+6y=43

then:

9x+6y=69 ( multiply all by 3)

-5x-6x=-43 (multiply by -1)

Now add

4x=26

x=6.5

plug x back in to find y

3(6.5)+2y+=23

2y=3.5

y=1.75

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Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investm
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180

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3 years ago
A shoe box in the shape of a rectangular prism has a length of 12 inches, a width of 6 1/2 inches, and a height of 4 1/2 inches.
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Find the average rate of change of the function from x=1 to x=2.<br><br><br><br> f(x)=−14/x^2
Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

f\left(x\right)=-\frac{14}{x^2}

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

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Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

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