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
scZoUnD [109]
2 years ago
13

A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 5 tables is $63. The total cost to re

nt 2 chairs and 3 tables is $35. What is the cost to rent each chair and each table?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Answer:

1.75dollars - the value of each chair,  10.5 dollars - the value of each table

Step-by-step explanation:

The value of chair is x, the value of table is y. Then 6chairs cost 6x, 5 tables cost 5y. 6x+5y= 63

Then the value of 2 chairs is  2x,  for 3 tables  it is equal to 3y. 2x+3y=35

We have the system of equations6x+5y= 63 and 2x+3y=35

Multiply the second one by -3

-3(2x+3y)= -3*35

-6x-9y= -105.

Plus the first equation and the second one multiplied by -3 (the right side to the right side and the left side to the left side with sign= between them)

6x+5y-6x-9y= 63-105

-4y= -42

y=10.5 dollars - the value of a table

6x+5*10.5=63

6x= 63-52.5

6x=10.5

x=1.75dollars - the value of a chair

You might be interested in
Is the sun even or odd 2+ 6
jeyben [28]
I believe it’s even can you tell me if I’m wrong pls
7 0
3 years ago
Passes through (-2,6) with a slop of -1/4
nikitadnepr [17]

Answer:

y=-1/4x-5 1/2.

Step-by-step explanation:

Using the formula y-y1=m(x-x1), plug in the slope and the numbers and you'll get y=-1/4x-5 1/2.

5 0
3 years ago
Read 2 more answers
Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

4 0
3 years ago
Help me with this yes im lazy 2 pages thats it.
valentinak56 [21]

Answer:

2.)\frac{1}{4}/3=\frac{1}{4}*\frac{1}{3}=\frac{1}{12} s yes she is correct

3.)\frac{1}{5}*\frac{1}{7}

4.)C\frac{1}{5}/2= \frac{2}{5},D\frac{1}{12}/5=\frac{1}{60},E

6.)\frac{1}{8}/3=\frac{1}{24}

Step-by-step explanation:

im not very good at word problems so i didnt do the secnd page sorry

5 0
3 years ago
Can anyone help me with THIS and the other TWO‼️PLEASE I’m really need HELP
scZoUnD [109]

Answer:

y = 3x +2

Step-by-step explanation:

It is helpful to be acquainted with the parts of at least a couple of different forms of the equation for a line.

You are given the equation of a line in "slope-intercept" form. It looks like ...

... y = mx + b . . . . . . . where m=-1/3 and b=-1

The coefficient of x, which is m, is the slope of the line. That is -1/3 for the given line.

The relationship between the slopes of perpendicular lines is that they multiply to give -1. We say each is the opposite reciprocal of the other. If we let "m" stand for the slope of the perpendicular line, it satisfies the equation ...

...(m)(-1/3) = -1

... m = -1/(-1/3) = 3 . . . . . the slope of the perpendicular line is 3.

____

Here's where another form of the equation for a line is useful. We can write the "point-slope" form* as ...

... y = m(x -h) +k . . . . . . for a line of slope m through point (h, k)

We want our line of slope = 3 to go through the point (1, 5), so its equation can be ...

... y = 3(x -1) +5 . . . . . . . variation of "point-slope" form

The given equation is in slope-intercept form, and the question asks for "the" equation of the line, so we probably should write our answer in the same form as the given equation. We can do this by eliminating the parentheses and simplifying the equation we have.

... y = 3x -3 +5 . . . . eliminate parentheses using the distributive property

... y = 3x +2 . . . . . . collect terms

The graph shows our result is at least plausible: it looks like it is perpendicular, and it goes through the given point.

___

<em>*Comment on point-slope form</em>

Usually, you will see "point-slope" form written as ...

... y -k = m(x -h) . . . . . . . . standard version of "point-slope" form

When our intent is to use this form to get to slope-intercept form, it is more convenient to add k to this equation to get ...

... y = m(x -h) +k . . . . . . . occasionally useful version

4 0
3 years ago
Other questions:
  • What is the quotient?​
    10·2 answers
  • Help please :) Thank you
    7·1 answer
  • Please help me I’m so confused right now
    8·1 answer
  • What is the volume of a sphere with a surface area of ​ 16π ​ft²?
    10·2 answers
  • Of the 50 tables in a restaurant, 40% seat 2 people. The rest of the tables seat 4 people. How many seats are there in the resta
    9·1 answer
  • Measure of the angle
    8·2 answers
  • Find the exact value of tan 5 π. <br> -1 <br> 0 <br> 1 <br> undefined
    8·1 answer
  • What is the domain of the following function ?
    12·2 answers
  • A = 15 ; b =____________ ; c = 17
    9·1 answer
  • The graph of a quartic function crosses the x-axis at -4 and -2 and touches it at 3. State the equation for the family.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!