A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $35. The total cost to rent 8 chairs and 3 tables is $38. What is the cost to rent each chair and each table?

Answers

Answer 1

Answer:

A chair costs $2.50 each and a table costs $6 each.

Step by Step Explanation:

First, let's break this down to two equations.

Equation 1: 2c + 5t = 35

Equation 2: 8c + 5t = 38

Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.

To do that, we must times the equation by 4, so:

4(2c + 5t = 35) -> 8c + 20t = 140.

So now the two equations we have are:

1: 8c + 20t = 140

2: 8c + 3t = 38

Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:

17t = 102

t = 102 / 7 = 6.

Therefore, a table costs $6.00 to rent.

Knowing this, we can use either equation to now find "c". Let's use Equation 1.

2c + 5(6) = 35

2c + 30 = 35

2c = 5

c = 5 / 2 = 2.5

So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.

8(2.5) + 3(6) = 38

20 + 18 = 38

38 = 38.

Therefore, each chair costs $2.50 and each table costs $6.


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Answer pls quick I don’t have enough time

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hey there ..

plz show the graph also ..

The point 0,0 shows that the blue and red paint are equal, so it will be the shade purple! While the 3,9 point shows that 9 liters are needed for every 3 liter of blue paint! Soo, The point 0,0 is correct as it shows equal amount!

Please answer the geometry question

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Answer:

300 feet

Step-by-step explanation:

Fido and Jet are two medium size dogs. Fido weighs exactly 15 pounds​ less than Jet. Together, they weigh exactly 89 pounds.​

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Answer:

jet weighs 74 pound

Step-by-step explanation:

Ali’s paycheck totaled $306.25. If he was paid $12.50 per hour, how many total hours did he work?

Answers

Answer:

24.5 hours

Step-by-step explanation:

To figure out thsi problem, divide 306.25 by 12.50. You will get 24.5. Ali's paycheck indicates that he worked 24 and a half hours.

24 hours and 5 minutes

An ant walk around a piece of a leaf that is in the shape of a right triangle. What is the total distance the ant traveled?

Answers

Is their any more information to the question?

Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..

Answers

Answer:

a)  Эx ∈ R   ⊇  x³ = 2

b) ∀x ∈ R, x² ≥ 0

c)  Эx ∈ R   ⊇  x³ = x

d) ∀x ∈ R, x ≤ x²

Step-by-step explanation:

Given the data in the question;

let us first go through some symbols and their possible meanings;

Э  ⇒ there exists

∀ ⇒ for all

∈ ⇒ belongs to or set membership or element of the set

⊇ ⇒ such that

now;

a) There is a number whose cube is equal to 2

let x represent the number; so

Эx ∈ R   ⊇  x³ = 2

b) The square of every number is at least 0

x² ≥ 0, ∀x ∈ R

∀x ∈ R, x² ≥ 0

c) There is a number that is equal to its square

Эx ∈ R   ⊇  x³ = x

d) Every number is less than or equal to its square.

x ≤ x², ∀x ∈ R

∀x ∈ R, x ≤ x²

3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants

Answers

The answer to the question is CC

Which is the graph of y=3/4 x -3?

Answers

It would be graph A.

Answer:

graph A.

Step-by-step explanation:

Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?

Answers

Answer:

20 percent left

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Complete each proportion by solving the value of N

1 3/5= n/35
2 15/n= 412
3 18/36= 6/n
4 n/12 = 35/42
5. 3/n = n/27
6 n/50 = 1 10
7. 60/90 = 180/n
pa answer po plsss thanksssssssssss​

Answers

Answer: I can help you with this equation over messages if you would like, I cannot input my answer on this page for some reason like I usually could.

Step-by-step explanation:

How do you get from 4 to 4/3

Answers

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

This 3rd and 2nd grade lvl paper

Answers

Answer:

This is the

Step-by-step explanation:

This is te changes of the eart

Across

2: Transpiration

3: Atmosphere

5: Potential

6: Precipitation

7: Condensation

Down

1: Evaporation

4: Condensation

Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his
sister runs after him with his lunch, averaging 6 mi/h.b. Solve the system
to determine how much time it took Ray's sister to catch up to him.
Your answer

Answers

Answer:

Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

Step-by-step explanation:

The computation of the time taken is as follows:

Let us assume the Ray time be t

So his sister time would be t - 10

Since Ray distance is 2t

So his sister distance is 6(t - 10) = 6t - 60

As the distance is the same

So, the following equation must be made    

2t = 6t - 60

 -4t = -60

t = 15

Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up

 

b) Calculate the area of the trapezium
5.2cm
Not drawn accurately
6cm
4.5cm
10.8cm

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Height ( h ) = 4.5 cmBase 1 ( b ) = 5.2 cmBase 2 ( b ) = 10.8 cm

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Area of the given trapezium

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]

Plug the known values and then simplify !

⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]

⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]

⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

a garden contains 135 flowers, each of which is either red or yellow. there are 3 beds of yellow flowers and 3 beds of red flowers. there are 30 yellow flowers in each yellow flower bed.
Part A: if r represents the number of flowers in each red flower bed, what equation could you use to represent the number of red and yellow flowers.

Answers

Answer:

135 = 3y + 3r

y = 30; r = 15

Step-by-step explanation:

y = 3y + 3r

Where,

y = total number of flowers in the garden = 135

y = number of flowers in each yellow flower bed = 30

r = number of flowers in each red flower bed

135 = 3(30) + 3r

135 = 90 + 3r

135 - 90 = 3r

45 = 3r

r = 45/3

r = 15 flowers

number of flowers in each red flower bed = 15

Your grandfather tells you that he has four coins in his pocket. He has no pennies, and no coin is worth more than a quarter. Calculate all the possible amounts. If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, what is your guess ? Include all combinations in your answer, but include each combination only once be sure to indicate what your guess is.

Answers

Answer:

20 cents

Step-by-step explanation:

Possible coins in grandfather's pocket include : nickel, dime, quarter

A nickel = 5 cents

A dime = 10 cents

A quarter = 25 cents

First combination= nickel+dime+quarter+quarter

Second combination=nickel+quarter+quarter+quarter=

Third combination= dime+quarter+quarter+quarter

Third combination=quarter+quarter+quarter+quarter

4th combination = nickel + nickel+dime+quarter

5th combination= nickel +nickel+nickel+dime

6th combination =nickel+nickel+nickel+quarter

7th combination= nickel + nickel + nickel +nickel

8th combination = dime + dime +quarter +nickel

9th combination = dime +dime+dime+quarter

10th combination =dime+dime+dime+nickel

11th combination=dime+dime+dime+dime

If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents

What is the slope of a line with the cords (-3,2) (-1,-1)

Answers

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

OR

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

Help Please I can’t figure out this question!!!

Answers

Answer:

i think the top is 4 and the bottom is 6

Step-by-step explanation:

Try 3 in the bottom and 5 in the hypotenuse

Which expressions are solutions to the equation 3/4x=15

Answers

Answer:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

I really need help with this question

Answers

Answer:

19

Step-by-step explanation:

1.25 is the answer

I’m 100% sure

Which solution set makes the inequality 7 > * TRUE?

Answers

Answer:

B

Step-by-step explanation:

7 > x  means what numbers are less than 7

A  and C are not correct because 7 = 7 is not less than 7

B is correct because 7 > -2, and 7 > 0

D is not correct because 8, 10, 20 are more than 7

This list shows the numbers of stuffed animals nine children own.

6, 12, 2, 5, 1, 6, 15, 10, 13

What is the range of the number of stuff animals the children own?


7

13

14

15

Answers

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

Find 110.9% of 419.Round to the nearest hundredth.

Answers

start by dividing 419 by 100. then multiply by 110.9. that’ll give you 464.671 then round to the hundredth which is 464.67.

Answer:

400

Step-by-step explanation:

When you are rounding to the nearest hundred you  

You round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Then, round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then you don't have to do any rounding, because it is already to the hundred.

How many times does 3 4 go into 6 ?

Answers

Answer:

8

Step-by-step explanation:

Answer:

8 is the correct answer.

help me i need help help me help me

Answers

It’s 21 because if u divide you’ll get it again

I need help please.

Answers

Answer is C).

One way to find the answer is to multiply the $54 by .30 (which is 30%converted to a decimal). Doing this will give you what 30% of $54 is.
This gives you 16.2
Since the question is asking what 30% off the price is, subtract the 16.2 from the $54.

A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note

Answers

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

Find the measure of angle ACB

Answers

Answer:

ACB = 87 degrees

——————87 I believe sry if wroung

Box of rice contains 8 1/3 cups of rice. how many 1/3- cup servings of rice are in the box

Answers

so in every 1 cup of rice, there’s 3 one third servings of rice. so, since there are 8 1/3 cups of rice, you would do (8 cups) x (3 servings) = 24 servings. then, you would just add 1/3 to the 24 servings and you would get 25 servings. does that make sense?

Lesson 3.4 different forms of liner
Equation
How do you solve it?

Y=2+3(×-1)

Answers

What are you trying to solve for?
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