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

3(2x+d)+c(x+5)=10x+17 find c and d

Answers

Answer:

c = 4, d = - 1

Step-by-step explanation:

Expand and simplify left side, then compare coefficients of like terms on the right side, that is

3(2x + d) + c(x + 5) ← distribute parenthesis

6x + 3d + cx + 5c

= x(6 + c) + 3d + 5c

Compare terms with those on the right side

coefficients of x- terms

6 + c = 10 ( subtract 6 from both sides )

c = 4

--------------

constant terms

3d + 5c = 17, that is

3d + 5(4) = 17

3d + 20 = 17 ( subtract 20 from both sides )

3d = - 3 ( divide both sides by 3 )

d = - 1

The value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Given the equation:

3(2x+d)+c(x+5)=10x+17

Expand the bracket

6x + 3d + cx + 5c = 10x + 17

Collect the like terms

6x+cx + 3d + 5c = 10x + 17

x(6+c) + 3d + 5c = 10x + 17

Compare the coefficients of x on both sides

x(6+c) = 10x

6+c = 10

c = 10 - 6

c = 4

Similarly:

3d + 5c = 17

3d + 5(4) = 17

3d + 20 = 17

3d = 17 - 20

3d = -3

d =-3/3

d = -1

Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

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Use kite WXYZ to find m<YZQ​

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90°

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what is the answer to 8.(x.4)​

Answers

Answer:

32x

Step-by-step explanation:

A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?

Answers

it would be an acute

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Answers

Answer: 8

Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20

Answer:

1024.

Step-by-step explanation:

4x4x4x4x4= 1024

I hope this is correct and I hope this helps. My apologies if it´s wrong.

Whats the anwser to 3 * 9/10PLZ HELP THIS IS DUE TODAY !!!!!

Answers

Answer:

2.7 or in fraction form 2 7/10

Step-by-step explanation:

yes

3*9= 27
27/10=2.7
I have to type random stuff to send this but uhh give me a thanks or brainliest pls

PLZZZZZZZ HELLLPPP MEE HURRYRYYYYYYY AREA OF A CIRCLE PLZZ ILL MAKE YOU BRILLIANTEST PLZ HURRY!!!!!!!!! USE PIE IN YOUR ANSWER!!!!!!!!

Answers

Answer:

I think it is 15.708. sry if i am wrong

Step-by-step explanation:

(3x + 4)3
How is this written in expanded form?

Answers

9x+12

3(3x)+3(4) = 9x+12

Answer:

(3x + 4)3

By using distributary property,

(3x × 3) + (3 × 4)

9x+12

PLEASE HELP ASAP ILL GIVE BRIANLIEST AND ACTUALLY HELP PLEASE
A parallelogram is translated 2 units to the right and 1 unit down and then rotated 90 degrees clockwise about the origin. Choose True or False for each statement about the image compared to the original. same orientation O True O False

True The whole statement is true.
False Some of the statement is false.​

Answers

True the whole statement is true

Please help!!
"simplify the expression
write your answer using a positive exponent"
(3/7)^-6 x (3/7)^-1%(3/7)^-3

Answers

Answer:

2067.62052882

Step-by-step explanation:

Do you need to round? let me know :)

1/6=n+7/9 what does n equal

Answers

the answers is, n equals -11/18

Answer:

n=-11/18

Step-by-step explanation:

1/6=n+7/9

Change the sign and move the variable to the left hand side

-n+1/6=7/9

Change its sign and move constant to the right hand side

-n=7/9-1/6

Subtract the fractions

-n=11/18

Change the sign on both sides

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Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages of 2. There were 12 muffins left. Write an equation to find how
many customers bought muffins at the bake sale. Model the equation using a flowchart

Answers

Answer:

2n + 12 = 100 (Equation)2n = 88 (Solving)n = 44 people bought muffins at the bake sale. (Solving)

Step-by-step explanation:

100 muffins, and 2 in each package. Therefore, there are 50 packages. However, in the end, there are 12 left, so there must have been 6 packages left.

Answer:

2n+12=100 ...........

please help me thank you!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

A. 12 inches

Step-by-step explanation:

Set a proportion

20/27.5=x/27.5-11

27.5x/27.5=330/27.5

x=12

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Answers

Answer:

80 degree angle is the right answer

Freedom PopFreedom PopFreedomFreedom Pop Pop they right?

Answers

Answer:

D

B

Step-by-step explanation:

1. x² - 5x = 14

x² -5x -14 = 0

x² +2x -7x -14 = 0

x(x + 2) -7(x + 2) = 0

x - 7 or x + 2 = 0

x = 7 or x = -2

2. y² + 6y + 9 = 49

y² + 6y +9 -49 = 0

y² +6y -40 = 0

y² +10y -4y -40 = 0

y(y + 10) -4(y + 10) = 0

y -4 or y + 10 = 0

y = 4 or y = -10

I need help and the step to find

Answers

Answer: The answer is 169.

Step-by-step explanation:

Hope this helps! Have a good day! :)

Please help if you know it. don't raid me for points

-user

Answers

1. x + 6 = 8

8 - 6 = 2

x = 2

2. 12 + y = 21

21 - 12 = 9

x = 9

3. h - 7 = 13

13 - 7 = 6

x = 6

4. 35 = 50 - 15

p = 50

5. 17 = 8 + 9

e = 8

6. 0 + 10 = 10

k = 10

Hope this helps! Have a wonderful day!

Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Please help

Answers

10 divided by 32 is 32.25
multiply 32.25 by 100
then u get 32%

Answer:

31.25%

Step-by-step explanation:

Man its the search engine

Great brushwork btw

Which line is congruent to which

Answers

Answer:

QO and QN

Step-by-step explanation:

The little lines mean they’re congruent. The arrows tell you PO and MN are paralle. The curved line means the angles are congruent.

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DUE IN 5 MINUTES HELP

Answers

Answer:

If its asking to translate by (-5,3) then the answer is the following.

A'(-2, 3)

B'(-1, 1)

C'(-4, 0)

3 (t + 4) = 25.5

t= ??

Answers

Answer:

t = 4.5

Step-by-step explanation:

Distribute 3 to the parentheses:

3(t + 4) = 25.5

3t + 12 = 25.5

Subtract 12 from both sides:

3t = 13.5

t = 4.5

So, the answer is t = 4.5

What is the value of the following expression if x = 4, 2x + 3.1

Answers

Answer:

11.1

Step-by-step explanation:

Since x = 4,

2*4 = 8 +3.1 = 11.1

Answer:

11.1

Step-by-step explanation:

2(x) + 3.1

2(4) + 3.1

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Giving brainlest and 20 points
What is the surface area of the solid?


A.
46 square inches

B.
15 square inches

C.
40 square inches

D.
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Answers

Answer:

C. 40 square inches but i could be wrong

An item originally priced at $160 was discounted to $84. What percent was the discount?

Answers

Answer:

the discount was put down to 48%

Answer:

49%

Step-by-step explanation:

I am too tired to do the step by step explanation

Please please help me

Answers

I believe the answer is G

simplify the expression 3(j+2)-2​

Answers

Answer: (3j + 6) or 3j + 4

Step-by-step explanation:

You distribute the 3 inside the parentheses and you could subtract the 2

Step-by-step explanation:

I hope this helps. 3j+6-2= 3j+4

If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.

Answers

Answer:

Here OP bisect ∠BOC

∴∠POC=∠BOP …………(i)

and OQ bisect ∠AOC

∴∠AOQ=∠COQ …………….(ii)

and ∠AOB=180

o

[∵AOB is a straight line]

⇒∠BOP+∠DOC+∠COQ+∠AOQ=180

o

⇒∠POC+∠POC+∠COQ+∠COQ=180

o

[using (i) & (ii)]

⇒2∠POC+2∠COQ=480

o

⇒2(∠POC+∠COQ)=180

o

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o

⇒∠POQ=90

o

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The school bus arrives late 2/7 of the time.
The probability that it rains during a hurricane is 1.

Answers

My guy what does a school bus have to do with a hurricane and rain ☔️ this makes no sense.

1/5 of a box of erasers and youneed to share with 3 people including yourself what fraction of the box would each person get

Answers

1 1. 1
— x. — = —
4. 5. 20

1/20 is the answer

In ΔTUV, t = 320 inches, u = 360 inches and ∠V=81°. Find the area of ΔTUV, to the nearest square inch.

Answers

Answer:

[tex]Area = 56892in^2[/tex]

Step-by-step explanation:

Given

[tex]\triangle TUV[/tex]

[tex]t = 320in[/tex]

[tex]u = 360in[/tex]

[tex]\angle V = 81^\circ[/tex]

Required

Calculate the area

Given two sides and a middle angle, the area of a triangle is:

[tex]Area = \frac{1}{2}ab*sinC[/tex]

In this case, it is:

[tex]Area = \frac{1}{2}tu*sinV[/tex]

[tex]Area = \frac{1}{2}*320*360*sin(81)[/tex]

[tex]Area = \frac{1}{2}*320*360*0.9877[/tex]

[tex]Area = 56891.52[/tex]

[tex]Area = 56892in^2[/tex] --- approximated

Answer:

56000

Step-by-step explanation:

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