A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?

Answers

Answer 1

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.


Related Questions

At a grocery​ store, you want to buy 2 9/10 lb of. What decimal should the digital scale​ show?

Answers

Answer:

2.9

Step-by-step explanation:

Hope this helps:)

3+2/3x=2/5 rewritten without fractions or decimals

Answers

The answer is
10x=-39

Answer:

its c

Step-by-step explanation:

Solve the following equation: 9x-14=22

Answers

Answer:

x=4

Step-by-step explanation:

9x=36, divide both sides by 9

Answer:

Step-by-step explanation:

9x=22+14

9x=36

x=36/9

x=4

It will be nice if you give me brainliest. Good luck!

PLEASE MIDDLE SCHOOL MATH NEED HELP!!!! THIS IS URGENT 13 POINTS TO FULL ANSWER!!!

I bought 7 1/3 pounds of apples from Store A and 9 2/6 pounds of apples from Store B. I made apple sauce using 2 1/2 pounds of apples, how many pounds do I have left?

Answers

Answer:

14 1/6

Step-by-step explanation:

7(1/3)+ 9(2/6)= 16(2/3)

16(2/3)

16(2/3)-2(1/2)= 14(1/6)

Answer:

14 1/6

Step-by-step explanation:

7 + 9  =16

convert 2/6 = 1/3

1/3 +1/3=2/3+16=

16 2/3 -2 1/2=

Solve.
-7 + (-5), es -
+ 8

Answers

the awnser is -12,x-1{+8}

The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.

Answers

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

2-1= plz help me i need help

Answers

Answer:

1 :)

Step-by-step explanation:

You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answers

Answer: 13/51

Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.

Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

The final probability, therefore, is

26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51

13/51 is the final answer

Find the length of MN.
A) 7
B) 25
C) 32
D) 39

Answers

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

Answer:

32

Step-by-step explanation:

usatestprep answer

How many values are in the range 35 to 95?

A) 62
B) 61
C) 60
D) 59

Answers

Answer:

61

Step-by-step explanation:

Answer:  61

==================================================

Work Shown:

a = smallest integer = 35

b = largest integer = 95

c = number of integers between 'a' and 'b' (including both endpoints)

c = b-a+1

c = 95-35+1

c = 61

The +1 is to count the starting value.

Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.

g(-4) =
anyone know the answer to this

Answers

g(-4) =1
i hope this helps!

Is the square root of 14 +6.2 less than 3 pi - 8.2?

Answers

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

help please i need helpp​

Answers

I think it’s 28,800 I’m not sure but I think if I’m wrong sorry

which number is the same as 0.000 000 1: 10^7 or 10^-7​

Answers

Answer:

= 1 × 10^-7

(scientific notation)

= 1e-7

(scientific e notation)

= 100 × 10^-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.0000001

(real number)

Step-by-step explanation:

10^7 = 10000000

Choose the scenario that could be represented by ſ
A. Five bottles of water are shared equally by two teammates.
B. Two people share five oranges equally.
C. Five granola bars are divided equally between two friends.
D. Two yards of fabric are used to make five place mats.

Answers

Answer:

D. Two yards of fabric are used to make five place mats.

Step-by-step explanation:

Given

[tex]Scenario = \frac{2}{5}[/tex]

Required

Select the option that describes the scenario

Options A, B and C do not describe the given scenario.

because they all represent

[tex]Ratio = \frac{5}{2}[/tex]

Analyzing D:

We have the following:

Yards = 2

Place Mats = 5

[tex]Ratio = \frac{Yards}{Place\ Mats}[/tex]

[tex]Ratio = \frac{2}{5}[/tex]

Compare this ratio with the given scenario, we have:

[tex]Ratio = Scenario= \frac{2}{5}[/tex]

What is the image point of (-8,-5) after a translation right 1 unit and down 5 units?

Answers

Answer:

(-7,-10)

Step-by-step explanation:

If you move the point (-8,-5) to the right one, then you would be left with (-7,-5), and then to move it down 5, you get (-7,-10)

Answer:

(-7,-10)

Step-by-step explanation:

I hope this helps, God Bless U

2) If U is between T and B, find the value of x and the lengths of the segments Label the line show all work
to answer the questions. (4 points)
T
U
B
TU = 2x, UB = 3x, TB = 20
X =
I
TU=
UB=

Number 2

Answers

You want to use the segment addition postulate to help you solve this. That would be TU+UB=TB.

TU = 2x
UB = 3x
TB = 20

2x+3x=20

Solve that equation, you should get:

5x=20

Then divide by 5 on each side to get x.

x = 4

Then you want to plug x into each equation!

TU = 2x, so 2 • 4 = 8.

TU = 8

UB = 3x, so 3 • 4 is 12.

UB = 12


helllllllppppp me pleaseeeeeeeee!!!!

Answers

I think the answer is 1/2!

If Jim drove 5 miles to work. Kari drove 3 times as many miles as Jim. Sondra drove 4 times as many miles as Kari. How many more miles did Sondra drive than Kari.

Answers

Answer:

45

Step-by-step explanation:

kari had 15 miles 5x3=15

sondra had 60 miles 15x4=60

40-15=45

Sondra drove 45 more miles than Kari because Kari drove 15 miles (5x3) and Sondra drove 60 miles (15x4) so 60-15=45.

lena has bought 10 pounds of dog food. she feed her dog 2/5 pounds for each meal for how many meals will the food last​

Answers

Answer:

25

Step-by-step explanation:

10÷2/5

=10•5/2

=5•5

=25

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2

Answers

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

Jean's bedroom is 13 feet by 11 feet. She has chosen a carpet which costs $29.65 per square yard. This includes installation.

Determine her cost to carpet her room.

Answers

Answer:

The answer is 4239.95

Step-by-step explanation:

First, you would have to do 13x11.

Which will come out to be 143.

Then do 143 times 29.65 to get your answer.

The answer is 4239.95.

Jean's cost to carpet her room is $470.33.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

First, we have to convert the dimensions of the room from feet to yards:

Length in yards = 13 feet / 3 feet per yard = 4.33 yards

Width in yards = 11 feet / 3 feet per yard = 3.67 yards

The area of the room is:

Area = length x width

Area = 4.33 yards x 3.67 yards

Area = 15.86 square yards

The cost per square yard is $29.65, so the total cost is:

Total cost = area x cost per square yard

Total cost = 15.86 square yards x $29.65/square yard = $470.33

Therefore, Jean's cost to carpet her room is $470.33.

Learn more about the area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Which symbol makes -121. That make -21 a true statement

Answers

This question doesn’t make sense. Please make sure you write the question properly without any grammatical mistakes.

Answer:

<

Step-by-step explanation:

To solve this correctly you need to remember how to compare integers.

Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?​

Answers

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

Christina's ice cream parlor sold 60 vanilla cones on the first day of summer. If the goal is to increase the number of vanilla cones sold each day by 4, how many will be sold 20 days later?

Answers

1280 cones because you would add 60 +4 and multiply by 20, and would get 1280 cones.

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions
Online Content Site 1
What are some of the ways citizens can participate in ggovernment? (Site 1) This is a change to online content

Answers

Answer:

paying taxes, voting , serving a public office, and obeying the law.

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the
square of the time taken to fall through that distance. If it falls 64 min 4 seconds. find the distance the
stone covers in the 5th second?
A. 36 m
B. 58 m
C. 72 m
D. 100 m

Answers

I’m not sure but I think it might be C so sorry if it’s wrong

Answer:

The stone covers 36 m in the 5th second. Correct choice: A.

Step-by-step explanation:

Proportions

Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:

y=k.x

There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:

[tex]y=k.x^2[/tex]

According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;

[tex]d=k.t^2[/tex]

To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:

[tex]64=k.4^2=16k[/tex]

Solving:

[tex]k=64/16=4[/tex]

Substitute the value of k into the equation to get the complete model.

[tex]d=4.t^2[/tex]

Now we calculate the distance when t=5 seconds:

[tex]d=4\cdot 5^2=4\cdot 25=100[/tex]

The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.

Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:

distance in the 5th second = 100 m - 64 m = 36 m

The stone covers 36 m in the 5th second. Option A.

What does it mean to divide a number by
a fraction (e.g., ¾)?

Answers

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

Increased by 175%, the number of 24 becomes what?

Answers

Answer:

66

Step-by-step explanation:

increase the number by 175% of its value.

percentage increase = 175% × 24

new value =

24 + percentage increase =

24 + (175% × 24) =

24 + 175% × 24 =

(1 + 175%) × 24 =

(100% + 175%) × 24 =

275% × 24 =

275 ÷ 100 × 24 =

275 × 24 ÷ 100 =

6,600 ÷ 100 =

66

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