1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
photoshop1234 [79]
3 years ago
9

The total cost to rent 3 chairs and 2 tables is $17 . The total cost to rent 8 chairs and 4 tables is $37 . What is the cost to

rent each chair and each table?
Mathematics
2 answers:
Contact [7]3 years ago
5 0
Let's make some variables to represent the cost of the tables and chairs.

Let x be equal to the cost of one chair
Let y be equal to the cost of one table

The total cost for 3 chairs and 2 tables is $17.

3x + 2y = 17

The total cost for 8 chairs and 4 tables is $37.

8x + 4y = 37

Now we have our system of equations.
Let's solve it.

3x + 2y = 17
8x + 4y = 37

We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.

3x(-2) + 2y(-2) = 17(-2) = 
-6x - 4y =  -34

Then add the equations together.

-6x - 4y = -34
8x + 4y = 37
        =
2x = 3

Then just divide both sides by 2.

x = 1.5

Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17      ; Multiply 3 and 1.5 together
2y = 12.5             ; Subtract 4.5 from each side of the equation
y = 6.25                ; Divide both sides by the coefficient of y. Which 2

So, a chair costs $1.50 and a table costs $6.25. 
Airida [17]3 years ago
4 0
3+2 = 5
8 + 4  = 12 
37 / 12 = 3.08
5 / 17  = 3 .04 
so i would say 3 dollars 
You might be interested in
How to find the endpoint when given the midpoint and one of the end points
timama [110]
You have to go through your x-axis and up or down you y-axis and then determine if the end point are on the right plot form
4 0
2 years ago
The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
bazaltina [42]

Answer:

75.1^{\circ}

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

3 0
2 years ago
An observer took a time-exposure photograph of polaris and five nearby stars. how many hours were required to show their star pa
olga55 [171]
Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.
5 0
2 years ago
What is 11.876 rounded to the nearest tenth?
vesna_86 [32]

Answer:

11.9

Step-by-step explanation:

The tenth place is the first decimal. You round down from 1-4 and up from 5-9, so round up.

11.9

3 0
2 years ago
Read 2 more answers
If andy pays 450 of the rent and mo pays 1/2 of the rent and charlie pays 25percent of the rent what is the overall rent
scoray [572]

Answer:

$1,800

Step-by-step explanation:

If Mo pays 1/2 of the rent then he is paying 50%. Charlie is paying another 25%. This leaves the remaining 25% that Andy pays. Since Andy's payment amount is 450 then that means that 450 is equal to 25% of the total rent. Therefore, we simply need to multiply this amount by 4 to get the 100% of the overall rent.

450 * 4 = $1,800

Finally, we can see that the total rent amount is $1,800

4 0
2 years ago
Other questions:
  • Choose the postulate or theorem when combined with the AAA Postulate for triangle similarity can be used to establish the AA Pos
    10·2 answers
  • Can I get an answer to question 5?
    13·2 answers
  • Unit rate of 72 ounces for 12 servings
    14·2 answers
  • It takes 40 minutes for 8 people to paint 4 walls.
    8·2 answers
  • To start, which measurement does Tommy need to
    13·2 answers
  • Whats 1/2+1/6. i know its a not smart question, but i forgot. seriously help me​
    15·2 answers
  • Please help me! It's due today at 8:30!!!
    10·2 answers
  • Solve 3(2z−4)=−6(2−z). help!!
    7·2 answers
  • Use Liam DeWitt's Flash Card statement and the credit calendar for Exercises a-e.
    13·1 answer
  • Suppose you have $1700 in your savings account at the end of a certain period of time. You invested $1400 at a 2.25% simple annu
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!