A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is 89 . The total cost to rent 2 chairs and 3 tables is 34 . What is the cost to rent each chair and each table?

Answers

Answer 1

Answer:

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:


Related Questions

illustrates whather the two ratios are equal or not using cross 3/27, 1/9​

Answers

Answer:

They are equal

Step-by-step explanation:

Given

[tex]\frac{3}{27}\ and\ \frac{1}{9}[/tex]

Required

Determine if they are equal

We start by equating both:

[tex]\frac{3}{27} = \frac{1}{9}[/tex]

Cross Multiply

[tex]3 * 9 = 1 * 27[/tex]

[tex]27 = 27[/tex]

Because both sides of the equation are equal, then the ratios are equal

19 - k = 4.




I need help​

Answers

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are

of different suits. Find the probability of your winning?

b) A coin is tossed 5 times. What is the probability that the first toss is a head

or exactly 2 out of the five tosses are heads?

c) In a shuffled 52-card deck, what is the probability that neither the top nor

the bottom card is a heart?

d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You

reach in and grab 15 marbles. What is the probability that they are all the

same colour?

Answers

Answer:

A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10

Step-by-step explanation:

A)

Number of cards per suit = 13

Nunber of suits = 4

Probability = required outcome / Total possible outcomes

P(1) = probability of picking a card from a certain suit

P(1) = 13 / 52

Hence, probability that 2nd card will be from a suit different from the first :

Total possible outcomes = (52 - 1) = 51

Required outcomes = (13 * 3) = 39

= 39 / 51

= 0.7647

B.)

First toss being head :

Required outcome = H = 1

Total possible outcomes = T or H = 2

P(H) = 1/ 2

For 5 tosses

Total possible outcomes = 2^n = 2^5 = 32

Exactly 2 heads = 10

P(exactly 2 heads) = 10/32 = 5/16

1/2 + 5/16 = (8 + 5) / 16 = 13/16

c)

1 - P(both top and bottom are hearts)

Number of hearts = 13 ; number of cards = 52

P(both are hearts) = 13/52 * 12/51 = 0.05882

1 - 0.05882

= 0.94117

= 0.9412

d)

Either all marbles are red OR all marbles are green OR all marbles are blue

Total number of marbles = (20 + 20 + 20) = 60

Probability that all 15 marbles are of a certain color :

(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)

(2.9146E−10) + (2.9146E−10) + (2.9146E−10)

= 8.7438E−10

= 8.743 * 10^-10

what is the answer pls i need help

Answers

Answer:

A because you have to mutiply 3 x 2 and it gives you 6

Choose all equations for which x=2 is a solution.

A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-

Answers

A is the only correct answer, unless you meant to put “-5” for letter E. Then A and E would be the correct answers!

which function has a y-intercept of 3 ​

Answers

Answer:

2 and 3

1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count

Step-by-step explanation:

Substitute X for 0 and solve from there.

3(0) - 2y = -6

0 - 2y = -6

y = 3

y - 3 = -2(0)

y - 3 = 0

y = 3

What is 10% of 10$ plz

Answers

Answer:

1 dollar

Step-by-step explanation:

Answer:

1 dollar

Step-by-step explanation:

Hope this helps!

give a description of the rules for the order of operation in your own words

Answers

Answer:

Order of opoation is a techniqe that gives us a easier way to figure out work

Step-by-step explanation:

Please mark me as brainiset

Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).

Answers

Answer:

y = 1/7x -1

Step-by-step explanation:

1) Find the slope.

- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.

2) Use the point-slope form and substitute the values available. Then solve.

m (slope) = 1/7

(a, b) = (14, 1)

y - b = m(x - a)

y - 1 = 1/7(x - 14)

y - 1 = 1/7x - 2

y = 1/7x - 1

The result is your answer.

Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^

A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?

Answers

Answer:

$2750/month

Step-by-step explanation:

I believe it would be $2750 for the rate of change

A department store is having a clothing sale. If a $35.00 pair of pants has a discount tag of 20% off, what is the sale price?

Answers

Answer:

$28.00

Step-by-step explanation:

You start with 35.00.

Now 10% of this is 3.5.

Multiply by 2 because it's 20%.

You get 7, so 7 is 20% of 35.00.

35.00 minus 7 is 28.00.

The pair of pants will be 28.00 dollars!

Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?

Answers

Answer:

Have a nice day!

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Hi there!

This problem may seem tricky because of the negative sea level, os let’s set up an equation.

[tex]-275+x=-135[/tex] where x = the change in elevation.

Using orders of operations, add 275 to both sides and you will end with

x = 140

Her change in elevation is 140 feet.

I hope this helps!

ldentify the center and radius of the circle
(x-5)^2 + (y+1)^2=4.

Answers

Answer:

[tex] {(x - 5)}^{2} + {(y + 1)}^{2} = 4 \\ {(x - a)}^{2} + {(y -b) }^{2} = {r}^{2} [/tex]

Comparing both the equation we get,

(C) Centre:(5,-1), r =2

Ignoring unwritten factors of 1, what is the sum of the numerical factors in the expression below?



−4(x−2)+(x−2)7−(x+5)(x−2)+(x−2)9+(−3)(x−2)

(1 point)
The sum is
.

Answers

Answer:

Step-by-step explanation:

Move

2x-3

x2+4x+3

to the left side of the equation by subtracting it from both sides.

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

=0

Simplify

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

Mark me brainless

Answer: the sum is 5

Step-by-step explanation:

Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is

Answers

Answer:

P(at least 4)  = 0.74431

Step-by-step explanation:

Here

Probability of the flights on time is = 70% = 70/100= 0.7

q= 0.3

n= 6

As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.

P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135

P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526

P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P

P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729

P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206

P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535

P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522

Probability of at least 4 means that probability of greater than 4 inclusive of 4.

This can be obtained in two ways.

First is by subtracting the probabilities of less than 4.

Second is by adding probabilities greater than 4 including 4.

We get the same answer with any of the two methods used.

P(at least 4) = 1- P(x<4)

                     = 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]

                     = 1- 0.25569

                       = 0.74431

P (at least 4) = P(x=4) +P(X=5) + P(x=6)

                        =0.324135+ 0.302526+ 0.117649

                        =0.74431

6 times 7 is 42 6 times 5 is 30 if that's any help please help me out.

Answers

6 * 5 = 30

42 - 30 = 12

? * 2 = 12

? = 6

Find the value of N
9 : 10 = 54 : N

Answers

Answer:

I think Value of N is 60

Step-by-step explanation:

because 9 ×6 =54

therefore, 10×6=60

hope its correct and hope ti helps..

Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answers

Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. [tex]Initial = 244[/tex]

2. [tex]b = 244 + 52h[/tex]

3. 660 boxes

Step-by-step explanation:

Given

[tex]Rate = 52\ per\ hour[/tex]

[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

[tex]Boxes = Rate * Hours[/tex]

[tex]Boxes = 52 * 3[/tex]

[tex]Boxes = 156[/tex]

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

[tex]Initial = 400 - 156[/tex]

[tex]Initial = 244[/tex]

Solving (b): Linear function

[tex]b = boxes[/tex]

[tex]h = hours[/tex]

Since, we have the rate and the initial number of boxes.

The linear function is:

[tex]Boxes = Initial + Rate * Hours[/tex]

i.e.

[tex]b = 244 + 52 * h[/tex]

[tex]b = 244 + 52h[/tex]

Solving (c): Boxes at the end of the 8th hour

We have:

[tex]b = 244 + 52h[/tex]

In this case:

[tex]h = 8[/tex]

Substitute 8 for h

[tex]b = 244 + 52 * 8[/tex]

[tex]b = 244 + 416[/tex]

[tex]b = 660[/tex]

Hence, there are 660 boxes at the end of the 8th hour

Which graph represents y = √ X

Answers

Explanation:

[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]

**In this case, we want NON-NEGATIVE terms.

I am joyous to assist you at any time.

A community theater sold 400 tickets

Answers

and what happened?
you didn’t finish your sentence, lol

what is the rest of the question?

Solve 2x + 2y = -28 2x - 2y = 26

Answers

Answer:

x=−y−14

Step-by-step explanation:

Answer:

x = none y = -27

Step-by-step explanation:

2x + 2y = -28 + 2x - 26

-2x                  -2x

__________________

2y = -28 - 26

2y = -54

y = -27

What is the reciprocal of 5/6​

Answers

Answer:

6/5

Step-by-step explanation:

Answer:

The reciprocal of 5/6 would be 6/5

Pls help urgently extra points and mark brainlist

Answers

Answer:

You got it right it is the second option

Step-by-step explanation:

I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)

Answer: the last one

Step-by-step explanation:

Which is the answer HELP PLEASE

A. 205°
B. 215°
C. 210°
D. 220°

Answers

Answer:

A lol

Step-by-step explanation:

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from
home. After 1 hour, she is 40 miles from home. What equation models her distance
from home, y, as a function of time, x? Show your work.

Answers

Answer:

Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from

Step-by-step explanation:

home. After 1 hour, she is 40 miles from home. What equation models her distance

from home, y, as a function of time, x? Show your work.

You have a square that has a side length of $1$ centimeter. Each minute, $2$ centimeters are added to the side length. After $10$ minutes, what will be the difference between the area of the last square and the area of the initial square in square centimeters (do not include the units in your answer)?

Answers

Answer:

Difference in area of the last square and the initial square = 440 cm²

Step-by-step explanation:

Length of the side of a square = 1 cm

Area of the square = (side)² = 1 cm²

Addition of side length every minute = 2 cm

After x minutes length of each side of the square = (1 + 2x) cm

If x = 10 minutes

Length of each side of the square = [1 + 2(10)]

                                                         = 21 cm

Area of the square after 10 minutes = (21)²

                                                            = 441 cm²

Therefore, difference in area of the last square and area of the initial square

= 441 - 1

= 440 cm²

there are 56 tulips in a flowerbed. the ratio of tulips to daffodils is 3:5. how many tulips and how many daffodils are there in a flowerbed? (Pls answer correctly)

Answers

Answer:

96

Step-by-step explanation:

3x + 5x = 8x.

8 altogether -->  3 tulips and 5 daisies

16 altogether --> 6 tulips and 10 daisies

24 altogether ---> 9 tulips and 15 daisies

etc

etc

48 altogether --> 12 tulips and 20 daisies

96 altogether --> 15 tulips and 25 daisies

Answer:

55 : 56.6666666667

Step-by-step explanation:

3:5 ÷ 3 = 1 : 1.66666666667 + 55= 56.6666666667

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it?

Answers

Answer:

C. $25

Step-by-step explanation:

the answer would be 25 dollars

Answer: c $25 got it on edge

Which missing value would you add in to make a perfect square


I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

Is it 25

plx help i need to get this so I can be ungrounded ​

Answers

Answer:

2

Step-by-step explanation:

I agree 2- why’d you get grounded
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