A company rents out 15 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for 'd' days, and all the booths are rented for the entire time. Write and simplify an expression for the amount in dollars the the company is paid.

Answers

Answer 1
105 times 15= 1575
57 times 20= 1140 
1140+1575= 2715 

(2715)(d)= x 

x being the total amount the company paid
Answer 2
- Food booth

From the sentences above, we can see that people need to pay $ 100 as intial payment, and additional $5 for each day they use the booth. Since he company has 15 food booths, the expression would bey

y = 15  (100 + 5d)
in which y = total amount that company received and d is the number of days the booth is rented

- Game Booth

From the sentences above, we can see that people need to pay $ 50 as intial payment, and additional $7 for each day they use the booth. Since he company has 20 game booths, the expression would be

y = 20 (50 + 7d)
in which y = total amount that company received and d is the number of days the booth is rented


- For both game booths and food booths

y    = [15 ( 100 + 5d)  ]      +        [ 20 (50 + 7d)]

y = 1500 + 75d+ 1000 +140d

y = 2500 + 215d

Related Questions

Please help me thank yu

Answers

-7.1-3.2 extract the negative sign and then add the negative numbers -(7.1+3.2)  your answer would be -10.3
The answer to this problem would be -10.3 . Hope this was helpful! :)

A bakery uses 3 cups of flour to makeveach loaf of bread. There are 3 loaves of bread on a tray. There are 6 trays on a cart how many cups of flour are used to make a full cart of bread show your work

Answers

the bakery uses 54 cups of flour to make a full cart of bread.

6 trays x 3 loaves per tray= 18 loaves

18 loaves x 3 cups of flour each= 54 cups of flour

The bakery uses 54 cups of flour to make a full cart of bread.

Given that, a bakery uses 3 cups of flour to make each loaf of bread. There are 3 loaves of bread on a tray.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now,

6 trays x 3 loaves per tray= 18 loaves

18 loaves x 3 cups of flour each= 54 cups of flour

Therefore, the bakery uses 54 cups of flour to make a full cart of bread.

To learn more about the unitary method visit:

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what is 0.4 as a simplified fraction

Answers

Answer: 2/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.

So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.

Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.

if m<DCF =90 what is m<DCE

Answers

Final answer:

The measure of angle DCE is 90 degrees.

Explanation:

To find m <DCE, we need to use the fact that the angles in a triangle add up to 180 degrees.

Since m <DCF is 90 degrees, this means that DCF is a right angle. Therefore, the sum of m <DCF and m <DCE must be 180 degrees.

So, m <DCE = 180 - 90 = 90 degrees.

About how many more hours Avery spend sleeping than doing the activities in the "other" category? Justify your anwser.

Please I need to finish this before tommorow. Here is the graph and this is 7th grade math

Answers

Answer:

So, she spends 3 hours more sleeping than doing the activities.

Step-by-step explanation:

Consider the provided information.

According to the graph, Avery spends 33% of time in sleeping and 19% of time in doing "other" activities.

There are 24 h in a day.

According to Sleep category: 33% of 24 is:

33 % of 24=0.33×24=7.92 h ≈8 hours  

We are rounding to 8 hr because the solution should be in hours as per the question requirement.

Other category: 19% of 24 is:

19 % of 24=0.19×24=4.56 h ≈5 hours  

The difference of time is:

8h-5h=3h

So, she spends 3 hours more sleeping than doing the activities.

Is 4/5 equivalent to 5/6?

Answers

Find a common denominator.

24 / 30 and 25 / 30.

4 / 5 and 5 / 6 are not equivalent.

Hope this helps!
No it is not 4/5 is equivalent to 8/10 and 5/6 is equivalent to 10/12
Hope this helps!!

Show why this statement is true: the square root of four times nine equals the square root of four times the square root of nine

Answers

√(4×9) = √ 36 = 6
now the √4 = 2
and √9 = 3
so 2×3= 6
therefore √(4×9) = √4 × √9
that's a law of surd
generally √ab = √a ×√b

PLZ HELP ASAP!!!!!!!,

Boris is playing on the mall escalators. One escalator goes up, one goes down, and one is out of service; otherwise, they're all identical. The up and down escalators go at the same speed. You can assume that Boris always runs at the same speed.

Boris can run up the up escalator in 6 seconds. He can run up the down escalator in 30 seconds. How long does it take him to run up the out-of-service escalator? Explain your answer

Answers

The answer to your question is 10 seconds. I know this because:

distance divided by speed=time
let t=time
t=2*6(30/36)=10
t=10
So, it took Boris a total of 10 seconds to run up the out of service elevator.

Hope this helps!

Answer:10 sec

Step-by-step explanation:

Given

Boris can run up the escalator in 6 sec

Also he can run up the down escalator in 30 sec

i.e. He travel same distance either ways

Let the distance be x and v be the speed of boris and [tex]v_0[/tex] be the speed of escalator.

[tex]x=6\times \left ( v+v_0\right )[/tex]----1

[tex]x=30\times\left ( v-v_0\right )[/tex]----2

Equating 1 and 2

[tex]5\left ( v-v_0\right )=v+v_0[/tex]

[tex]5v-5v_0=v+v_0[/tex]

[tex]v_0=\frac{2}{3}v[/tex]

substituting in 1

[tex]x=6\times \left ( v+v\frac{2}{3}\right )[/tex]

[tex]x=6\times v\frac{5}{3}=10v[/tex]

Thus form above equation we can say that it requires 10 sec for Boris to climb up in out of service escalator.

The amount of money that is left in a medical savings account is expressed by the equation y=-24x+379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?

Answers

You plug in $67 for y because you need to find out what week you'll have $67 dollars in the account.

The number of weeks required to have $67 left in the account is 13 weeks

Given the Parameters :

Linear equation : y = - 24x + 379

y = amount left in account

x = Number of weeks

To obtain the number of weeks to have $67 left in the account, we substitute y = 67 into the equation and solve for x :

y = - 24x + 379

67 = - 24x + 379

Collect like terms

24x = 379 - 67

24x = 312

x = 312 / 24

x = 13

Therefore, the Number of weeks required is 13 weeks

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I NEED HELP ASAP
Jamie's bedroom is 11.652 feet long.
Round this to the nearest foot.

Answers

11.652 = 12

Jamie's bedroom will be 12 feet long
Jamie’s bedroom would be 12 ft long

Use the multiplication table. Describe a pattern you see in rows 3 and 6

Answers

In row Three , the numbers are going by 3 every time and in row 6 the numbers are going by 6 every time.
 

The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.

How to understand the multiplication table

In a multiplication table, each row represents the product of a particular number (the row number) with the numbers in each column. If we consider rows 3 and 6, they represent the products of 3 and 6 with the numbers in each column.

The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.  This pattern holds true because each element in row 6 is twice the corresponding element in row 3.

Learn more about multiplication table

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Write 15 cubed in exponential notation expanded form and standard form

Answers

Um, 150000? Don't write this inmetily because it may be wrong.
15^3   

15*15*15

15(15(15))

Four more than the product of one and a number x

Answers

The expression, if that's what ur looking for, is 1(x)+4 or just x+4

3 2/5 miles in 7/8 hour. What is his average speed in miles per hour?

Answers

about 4 miles per hour

kaleb was playing a video game it took him eight lives to beat the first world it took eight times as many to beat the second world how many lives did he use on the second world

Answers

bet its 64,no problem

64 if he spent 8 the first time then the second time is 64

john has to pay $7.00 admission for the skating rink and $1.50 per hour to rent roller blades. how many hours can he skate for $19?

Answers

John can skate for eight hours.

19/1.50=12.7

12.7-7=5.7

Therefore, he can go ice skating for 5 hours, unless you can do half hours. If you can also pay for half hours, then he can skate for 5 and a half hours.

clayton climbed down 50 meters. He climbed down in 10 meter intervals.In how many intervals did clayton make his climb?

Answers

5 because for each 10 meters he climbs he reaches a interval he climb 50 so 50÷10

Stacy and Neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint? Enter your answer in the box.

Answers

we know that

Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint

so

by proportion

Find how many square feet can they paint with [tex]3[/tex] gallons of paint

[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]

therefore

the answer is

[tex]1,050\ ft^{2}[/tex]

The square feet that can be painted with 3 gallons of paint is  1050 square feet.

The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.

Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]

280 x [tex]\frac{5}{4}[/tex] = 280 feet

The second step is to determine the square feet can be painted with 3 gallons of paint.

280 feet x 3 = 1050 square feet.

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There are 15 people in a room. Each person ate 2/3 of a pizza. There was no more pizza remaining. How many pizzas were in the room?

Answers

There were ten pizzas in the room

Pablo prepares to lift a barbell. During which stage of the lift does Pablo do work on the barbell?

Answers

when he lifts the barbell from the floor to his chest

Answer:

when he lifts the barbell from the floor to his chest

Step-by-step explanation:

Joanna ran a mile in physical education class. After resting for one hour her heart rate was 60 beats per minute. If her heart rate decreased by2/5, what was her heart rate immediately after she ran the mile?

Answers

if her heart rate decreased by 2/5ths and became 60, that means 60 is 3/5th. divide 60 by 3 to find out how much one fifth is. 60/3 = 20, so if 1/5th is 20, that makes 2/5th 40. Add 40 and 60 to get 100, which is your answer.

How do I answer this...don't make sense.

Answers

The answer:  " k = -10 " .
__________________________________________
Given:  (- 6/5) k = 12  ;  Solve for:  "k" ;
__________________________________________

Multiply each side of the equation by "5" ; to get rid of the "fraction":

   5* (-6/5) k = 12 * 5 ;

to get:

        - 6 k = 60 ;

Divide each side of the equation by "-6" ;
________________________________________
       - 6 k / 6  = 60 / 6 ;

to get:

               -1 k = 10 ;
_______________________
Divide each side of the equation by  "-1" ;
 to isolate "k" on one side of the equation ; and to solve for "k" ;
________________________
              - 1 k / -1  =  10 / -1 ;
________________________
                to get:  k = -10 .
__________________________ 

Shoe sales very soon company were $25.9 billion. See other expected to increase by about 20% in the next year. Find the projected amount of shoe sales next year.

Answers

Hi there! So, the amount made is expected to increase by 20% from $25.9 billion next year. To find the projected amount, let’s multiply 25.9 billion by 120% 1.20. Multiply by that number brings us tot he total amount, instead of having to find the amount gained and adding it into the original price. 25,900,000,000 * 1.20 is 31,080,000,000. The projected amount of shoe sales next year is expected to be $31.08 billion.

how to find the asymtope of a function

Answers

asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.

Answers

lol, 12456333225464674

Answer:

 

D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.

Step-by-step explanation

Multiply the width by the length 38x112= 4,256

He has 4,400 tiles and only needs 4,256

4,400- 4,256= 144 left over tiles

2) ½ b – 39 = 101 please show your work

Answers

1/2 b-39=101
       +39  +39
1/2 b= 140
2(1/2) b= 140(2)
b=280

Answer:

kkkkkkk

Step-by-step explanation:

Which answers are examples of inductive reasoning?

Select each correct answer.

The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine.

Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.

All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.

The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.

Answers

Answer: Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.

The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.

Step-by-step explanation:

Inductive reasoning is a logical reason in which multiple premises which are believed to be true or found true most of the time, are combined to form a particular conclusion.

Therefore, the second and the fourth are the examples of inductive reasoning.

Answer:

Just took it for you future peoples!

Step-by-step explanation:

The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yesterday, they covered the first 45 seconds of the song at practice. They learn an average of 22 seconds of the dance in an hour. Let h represent the time, in hours, it will take the team to learn the entire dance. Which equation represents this situation, and how long will it take?

Answers

221÷22=h=~10.05     221 secs ÷ 22 secs per h
equation: 45 + 22h =  221

The number of hours it will take is :

22h = 221-45
22h = 176
h = 176/22
h=8
so it takes them 8 more hours to finish learning the song.

Hope this helps!
and May the Force Be With You

-Jabba

how do you solve 1/3(2x-4)+5=-2/3(x+1)

Answers

Final answer:

Solving the equation 1/3(2x-4)+5=-2/3(x+1) involves distributing the fractions, combining like terms, and then multiplying by the reciprocal to isolate x, which results in a solution of x = -4.

Explanation:

To solve the linear equation 1/3(2x-4)+5=-2/3(x+1), you start by distributing the fractions across the parentheses and then combine them like terms. First, multiply 1/3 by each term inside the parentheses (2x-4) and -2/3 by each term inside (x+1), which gives:

2/3x - 4/3 + 5 = -2/3x - 2/3

Next, combine like terms and add 2/3x to both sides:

2/3x + 2/3x = -2/3 - 5 + 4/3

This simplifies to:

4/3x = -16/3

To isolate x, multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:

x = (3/4) x (-16/3) = -4

The solution for x in the given equation is -4.

Final answer:

To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. The solution to the equation is x = -7/12.

Explanation:

To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. Let's start by distributing and solving the equation:

1/3(2x-4)+5=-2/3(x+1)

(2/3)x - 4/3 + 5 = (-2/3)x - 2/3

Combining like terms:

(2/3)x + 5/3 = (-2/3)x - 2/3

Add (2/3)x to both sides:

(2/3)x + (2/3)x + 5/3 = (-2/3)x + (2/3)x - 2/3

Simplify:

(4/3)x + 5/3 = -2/3

Subtract 5/3 from both sides:

(4/3)x + 5/3 - 5/3 = -2/3 - 5/3

Simplify:

(4/3)x = -7/3

Finally, divide both sides by 4/3 to solve for x:

(4/3)x / (4/3) = -7/3 / (4/3)

Simplify:

x = -7/12

Therefore, x = -7/12 is the solution to the equation.

Hillary jogged a total distance of 7 and 1 over 3 miles during the months of October and November. If Hillary only jogged 1 over 6 mile every day, which expression shows the number of days in which she went jogging?

Answers

She jogged a total of 7 1/3 miles over 2 months. If she jogged 1/6 mile everyday, x will represent how many days it took for her to jog the given total of miles.
7 1/3=1/6x or
22/3=1/6x if we were to solve, 
x would equal 44 days. 

Answer:

7 and 1 over 3 multiplied by 1 over 6

Step-by-step explanation:

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