Mathematics High School

Student Council is selling tickets to the Winter
Dance. Tickets cost $5 per person or $8 per
couple. To cover expenses, at least $1200
worth of tickets must be sold. No more than 500
students can fit in the gym where the dance is
being held.
List two combinations of tickets that could be sold, so
that Student Council makes a profit, yet stays under the
room capacity.

Answers

Answer 1

Answer:

Two possible combinations are;

1) 200 single and 30 couples

2) 150 single and 57 couples

Step-by-step explanation:

The given parameter in the question are;

The cost of ticket per person = $5

The cost of tickets per couple = $8

The minimum worth of tickets to be sold = $1,200

The maximum number of students that can fit in the gym = 500

Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;

5·x + 8·y ≥ 1,200

x + y ≤ 500

Making 'y' the subject of both equations gives;

y ≥ 150 - 5·x/8

y ≤ 500 - x

From the graph of the inequalities created with Microsoft Excel, we have;

When x = 200, and y = 30, we get;

5 × 200 + 8 × 30 = 1240 > 1200

200 + 30 × 2 = 460 < 500

We also have;

x = 150, and y = 57, we get

Equating both values of 'y', we get;

5 × 150 + 8 × 57 = 1206 > 1200

150 + 57 × 2 = 264 < 500

Therefore, from the acceptable region in the graph, we have the following two possible combinations

1) 200 single and 30 couples

2) 150 single and 57 couples

Student Council Is Selling Tickets To The WinterDance. Tickets Cost $5 Per Person Or $8 Percouple. To

Related Questions

Help please!!
Is this relation a function? justify your answer.

A. No, because two points with the same y-value have different x-values.

B. Yes, because the number of x-values is the same as the number of y-values.

C. Yes, because every x- and y-values is positive.

D. No, because two points with the same x- value have different y-values.​

Answers

D. No because two points with the same x value have different y values. A function cannot have one x equal different y

For the vertical motion model h(t) = -16t2 + 54t + 3, identify the maximum height reached by an object and the amount of time the object is in the air before it hits the ground. Round to the nearest tenth.​

Answers

Answer:

height: 48.6 fttime in air: 3.4 s

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

__

The equation can be rewritten to vertex form to find the maximum height.

  h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

  h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

  h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

__

The air time is found at the value of t that makes h(t) = 0.

  0 = -16(t -27/16)^2 +48 9/16

  (-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

  (√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.


I need help asap please

Answers

Answer:

x = - 69

Step-by-step explanation:

if its wrong i can help u again

I’m pretty the answer would be -69

x = (y/2) - 1
Please help me find the answer.

Answers

Answer:

Step-by-step explanation:

Well you didn't give directions on what to solve for,

I'm gonna assume you want to solve for y

x = (y/2) - 1 (add 1 to both sides)

x + 1 = y/2 (multiply both sides by 2)

2(x + 1) = y (distribute the 2)

y = 2x + 2

Look at picture.........

Answers

Step-by-step explanation:

jJJshzysyqvsudishw wjs87eye

PLEASE HELP ME I NEED HELP RIGHT AWAY!!!

A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?

thank you for helping

Answers

Answer:

There are 40 books total

Step-by-step explanation:

you need to set a proportion

The first fraction is 55/100 it's over 100 because it's percent

the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books

then you multiply diagonally

55×x= 22×100

55x=2,200

Then you solve it like a regular equation by dividing both sides by 55

x=40

Answer:

There are a total of 40 books in the box.

Please help, will mark brainliest

Answers

Answer:

480in hope you get right. I am Not 100%sure, sorry

Ummmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answers

D is the answer so that question

Which relationships describe angles 1 and 2?

Select each correct answer.


complementary angles

vertical angles

adjacent angles

supplementary angles

the image is attached

Answers

Supplementary angles.
Supplementary angles are two angles that add up to 180 degrees.

4x+5>49
what is the answer to this

Answers

Answer:

any big number

Step-by-step explanation:

Answer:

x> 11

Step-by-step explanation:

here's your solution

=> 4x + 5 > 49

=> 4x > 49 - 5

=> 4x > 44

=> X > 44/4

=> X > 11

hope it helps

Michah eats 12 pies in 3 minutes. How many pies does he eat per minute?
I need help with it it says rate and unit rate

Answers

Answer:

4

Step-by-step explanation:

12/3 is 4

Answer:

4 pies

Step-by-step explanation:

12 / 3 = 4

pls help our teacher didn’t explain how to solve these. also show work

Answers

Answer:

15) f = 18

3f = 54

6f = 108

16) k = 69

Step-by-step explanation:

15)

3f + 6f + f = 180

10f= 180

f = 18

16)

42 + k + k = 180

42 + 2k = 180

2k = 138

k = 69

Claude has a container of paintbrushes and divides the entire carton between 3 friends. Each friend gets 6 paintbrushes. How many paintbrushes were in the container?

Answers

Answer:

6 × 4 = 24

Step-by-step explanation:

this is right if he gave some to himself

Answer:

18 paintbrushesssss

Step-by-step explanation:

yuhhhhhhhhhhhhhhhhhhhhhhhhhh

A can of cat food costs $0.62. How much would it cost to buy 5 cans of cat food?​

Answers

The correct answer is $3.1

Explanation : $0.62 x 5 = $3.1

Answer:

 3.1

Step-by-step explanation: muitply by 5

4 + (-7) -10x + 5x.

Answers

Answer:

-3-5x

Step-by-step explanation:

4+(-7)-10x+5x

4-7-10x+5x

Answer:

−5−3

Step-by-step explanation:

Simplify

Subtract the numbers

4−7−10+5

−3−10+5

Combine like terms

−3−10+5

−3−5

Rearrange terms

−3−5

−5−3

Solution

−5−3

Work out
(43×8) - (234÷6)

Answers

Answer:

305

Step-by-step explanation:

43*8=344

234/6=39

344-39=305

Since the equation is [tex](43\times 8) - (234\div 6)[/tex] so after solving it, the answer is to be considered as the 305.

Calculation of the equation:

Since the equation is [tex](43\times 8) - (234\div 6)[/tex]

So,

we have to solve it

= 344 - 39

= 305

Hence, Since the equation is [tex](43\times 8) - (234\div 6)[/tex] so after solving it, the answer is to be considered as the 305.

Learn more about an equation here; https://brainly.com/question/17165976

13 is what percent of 20?
A. 13%
B. 26%
C. 52%
D. 65%

Answers

Answer:

D. 65%

Step-by-step explanation:

x%/100% = 13/20

D is the answer yes no problem

Help asap plsss!!!!!

Answers

Answer:

the is 90

Step-by-step explanation:

a right angle is 90

the correct answe is 90

Jacob struggled to solve 0.96 divided by 0.2 so he solved 96 divided by 2 instead. After finding the quotient of 96 divided by 2, what must jacob do to find the value of the original expression

Answers

take away the decimal?

Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? The concert hall offers a special price of $12 per ticket. How many more tickets can be purchased with the $500 if the cost is $12 per ticket?

Answers

Answer:35

Step-by-step explanation:

I did this and got it correct

Answer:

Here you are! Hope this helps

You can buy 5 cans for green beans at the Village Market-for-$4.00- You can buy 10 of the same cans of beans at Sam's Club for $7.10: Which place is the better buy?​

Answers

definitely at sams club
Sams club $4 x 2 is 8$ while 10 can is still only $7.10

4 times 2/13 in simplest form

Answers

Hopes this helps:

Answer: 8/13

Answer:

8/13

Step-by-step explanation:

4=4/1

4/1*2/13=8/13 can't be more simplified.

Please mark brainliest I need it

A car is traveling at a speed of 75 miles per hour and arrives at its final destination in total of 5.25 hours. What is the distance traveled by the car?

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Answer:

86

Step-by-step explanation:

Find the value of x.

Answers

Answer:

Hope that answers your question, good luck in the future

Please help I’m really confused I don’t remember what to do

Answers

Answer:

x^7

Step-by-step explanation:

You just add the exponents when it's multiplying like that.

Answer:

x^7

Step-by-step explanation:

x^5*x^2 = (x*x*x*x*x)*(x*x)

We will count the number of x.

x^7

La mamá de Cornelio va a repartir un pastel entre él y sus 5 amigos ¿Qué cantidad de pastel le tocará a cada quién?

Answers

Answer:

each will get 1 peace.  Cada uno le tocara un pedaso

Step-by-step explanation:

just here for checking!

Answers

Answer:

You maybe right I'm pretty sure

Answer:

75 mm

Step-by-step explanation:

15 x 5 = 75

So, yes, you are right :)

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Answers

Answer:

yum

Step-by-step explanation:

Decrease £740 by 8% .

Answers

Answer: 'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

8% = 8/100 = 8 ÷ 100 = 0.08.

100% = 100/100 = 100 ÷ 100 = 1.

Step-by-step explanation:

To calculate percentage decrease:

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

Need help ASAP! due soon!!!!

Answers

Answer:

Its A And D Hope This Helps

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