A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?​

Answers

Answer 1

Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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Edward C. answered • 02/10/15

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Caltech Grad for math tutoring: Algebra through Calculus

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Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Answer 2

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

What is a linear equation?

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

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Related Questions

12 parents volunteered to
chaperone the dance. If 15% of all
parents polled volunteered, how
many parents were asked to
volunteer?

Answers

Answer:

80

Step-by-step explanation:

15/100x=12

3/20x=12

x=12*20/3=80

if my answer helped please mark as brainliest.

Answer:

if 15% of all parents polled volunteered, then 80 parents were asked to volunteer.

Step-by-step explanation:

Okay so basically 12 is 15% of a number therefore 12/? = 15%/100?

So we multiply 12 x 100= 1200

Then divide 1200 ÷ 15 to get your answer.

1200 ÷ 15 = 80

Michael sells 136 newspapers each week. If there are 52 weeks in a year, how many newspapers does Michael sell in a year?

Answers

Answer:

7,072

Step-by-step explanation:

136 times 52 = 7,072

Answer:

7,072 newspaper in a year

Step-by-step explanation:

Multiply: 136*52=7,072

(I would put a picture of my work but I'm lazy right now lol)

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

If it costs $300 to tile a 420 square foot room, how much will it cost to tile a
room with 1,050 square feet?

Answers

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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There are 24 pints of juice in 2 containers, how many pints of juice in 1 container?

Question 1 options:

6


12


2


48

Answers

If they are the same size, it should be 12.
For example, if I had two cups of water and they can both hold 12 oz’s, and I have 24 oz’s. 12 ozs will hold the total 24.


the equati...
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram.
36
4.5
X = ?

Answers

Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

can some one help me please....
by step by step explanation...... ​

Answers

The answer is A) 4.step by step explanations is in the picture.

what is the surface area of the cylinder with height 3km and radius 7km

Answers

Answer:

A=439.82 or A=439

Step-by-step explanation:

~~~~~~~~:)

A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft

Answers

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

Answer:

14 ft

Step-by-step explanation:

a p e x!

Ayuda!
Necesito el inciso k) por 10 puntos

Answers

Answer:

x=47is your answer

3x-11=130(alternate angle)

3x=130+11

x=141/3=47

Use a unit multiplier to convert 0.37 liters to milliliters.

Answers

Answer:

370

Step-by-step explanation:

Multiply the number of liters (L) by 1,000 to find the number of milliliters (mL). There are 1,000 times as many milliliters as there are liters. For instance, say you have 3 liters. Simply multiply 3 liters by 1,000 to get 3,000 milliliters.

i need helpppppppppppppp​

Answers

Answer:

B

Step-by-step explanation:

Factor out 1/4.

1/4 - 3/4 x = (1/4)(1 - 3x)

Answer: B

b because 1/4*1 = 1/4 and 1/4*-3 = -3/4

The table represents some points on the graph of the exponential function that models the radioactive decay of a sample of xenon-135.

Which statement about the graph of this function is true?

(See the picture below)

A) There is an asymptote at y = 70.

B) The y-intercept is located at (0, 70).

C) There is an asymptote at x = 0.

D) The x-intercept is located at (70, 0).

Answers

Answer: b the y-intercept is located at (0,70)

The exponential curve passes through the point (0, 70). Then the correct option is B.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.

At x = 4.6, the value of 'y' will be 49.5.

[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]

At x = 9.2, the value of 'y' will be 35.

[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]

From equations 1 and 2, then we have

[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]

Then the value of 'a' will be

[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]

Then the equation is given as,

y = 70 · (0.927)ˣ

The graph is given below.

The exponential curve passes through the point (0, 70). Then the correct option is B.

More about the exponent link is given below.

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What is the Value of X
What is the Length of JM?

Answers

Answer:

JM = 17

x = 12

Step-by-step explanation:

The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7

x + 5 = 2x - 7 and 5 + 7 = 2x - x

12 = x

The length of JM

2x - 7 can be written as 2×12 - 7 = 17

Plzz write with formula and explanation plzzzzzzzz answer fast

Answers

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5)

Answers

Answer:

x = 2/3

Step-by-step explanation:

4x + 6 = 10x + 10

4x = 10x - 4

6x - 4

x = 2/3

Have a great day <3

2(2x + 3) = -4 + 2(2x + 5)
Divide both sides by 2
2x + 3 = -2 + (2x + 5)
Add 2 to both sides
2x + 3 + 2 = 2x + 5
2x + 5 = 2x + 5
Subtract 5 from both sides
2x = 2x
Divide both sides by 2
x = x

This means x can equal anything I believe.

2) Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8

Answers

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

someone on this god forsaken planet help me

Answers

Answer: Lol

B (-8,-5)

D (-10,-4)

C (-8,3)

Step-by-step explanation:

The population of a city has increased by 38% since it was last measured. If the current population is 89,700, what was the previous population.

Answers

Answer:

65000

Step-by-step explanation:

Given data

Let the previous population be x

the increase was by 38%

The expression below describes the current population

38/100*x+ x=89700

0.38x+x= 89700

1.38x= 89700

x= 89700/1.38

x= 65000

Hence the previous population is 65000

helppppp pleaaaaaseee

Answers

It is b because you can see how it works and stuff

Help me please answer all thanks

Answers

The coordinates are 3,3

Answer:

the coordinates are (3,3)

Step-by-step explanation:

hope I helped!!

Ella is 66 inches tall. Andy is 6 1/2 feet tall. Who is taller? By how much? (12 inches = 1 foot)

Answers

Answer:

Andy is taller by one foot or 12 inches

Step-by-step explanation:

Ella = 66 inches = 5'6"

Andy = 6 1/2 feet = 6'6"

Andy is taller by one foot or 12 inches

Andy is taller by one foot or 12 inches

Given:

Ella is 66 inches and Andy is 6 1/2 feet.

12 inches = 1 feet.

Convert inches in to feet.

12 inches = 1 feet.

1 inches = 1/12 = 0.083

66 inches = (0.083 * 66) = 5.5 feet.

Andy = 6 1/2 feet = 6.5 feet.

6.5 > 5.5 (6.5 is greater than 5.5).

Andy is taller by one feet or 12 inches

Therefore, Andy is taller by one feet.

Learn more here:

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Evaluate the expression when when c = 3 and d = 33

Answers

Answer:

45

Step-by-step explanation:

1. Use the inequality 12≥6(12x+2).
a. Apply the Distributive Property to the right side.

b. Solve the inequality.

Answers

The answer would be 72x + 12 but I’m not sure but that’s what I got
12_>6(12x+2)
12_>72x+12
-12 -12
0_> 72x
/72 /72
Zero divided by anything is zero.
0_>x

Angles are not necessarily drown to scale.

Answers

Tbh I don’t know about this

Answer:

ask ur teacher its pointless

Step-by-step explanation:

no one knows

define el concepto de renacimiento y el de humanismo​

Answers

Answer:

Renacimiento es el nombre dado en el siglo XIX a un amplio movimiento cultural que se produjo en Europa Occidental durante los siglos XV y XVI. ... El Renacimiento fue fruto de la difusión de las ideas del humanismo, que determinaron una nueva concepción del hombre y del mundo.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

GUYS PLEASE ANSWER THIS QUESTION BELOW. I AM 1 BRAINLIEST AWAY FROM EXPERT AND NEED SOMEONE ELSE TO ANSWER THIS QUESTION SO I CAN GET BRAINLIEST! YOU DON'T NEED TO ANSWER IT RIGHT JUST TYPE SOMETHING RANDOM!! Thank you!!

https://brainly.com/question/21569168?exp=25-1

Answers

Answer:

Done :)

Step-by-step explanation:

Best of luck!

Oh okie so cute ☺️ cute lol

Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour

Answers

Answer:

0.5 pounds per container.

Step-by-step explanation:

just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5

There each container holds a number of pounds of flour which would be  0.5 pounds.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.

We can use the following equation to find out how many pounds of flour each container holds:

pounds of flour per container = total pounds of flour / number of containers

So, using this equation:

pounds of flour per container = 3 / 6

Apply the division operation, and we get

pounds of flour per container = 0.5

Each container holds 0.5 pounds of flour.

To learn more about the division operation click here :

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NEE HELP!

Solve for x, round your answer to the nearest hundredth: 5lnx + 2 = 17

*need step-by-step solution

Answers

Answer:

e^3

Step-by-step explanation:

5ln(x)+2=17

5ln(x)=17-2

5ln(x)=15

ln(x)=15/5

ln(x)=3

e^ln(x)=e^3

x=e^3

Plsssss help me, It says find the area

Answers

Answer:

It should be 136

Step-by-step explanation: I split it up into multiple pieces

Rectangle 1= 20*2=40

Rectangle 2= 14*4=56

Rectangle 3= 20*2=40

40+40+56=136

the area is 136
divide the figure into three rectangles and add all the areas to get the total area

Help PLEASE I forgot how to do this :'(​

Answers

Answer:

C) The sum of the first 2 terms after the fourth term.

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