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

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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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

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x=12

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1. x + 6 = 8

8 - 6 = 2

x = 2

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21 - 12 = 9

x = 9

3. h - 7 = 13

13 - 7 = 6

x = 6

4. 35 = 50 - 15

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Hope this helps! Have a wonderful day!

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

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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

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.

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

Please please help me

Answers

I believe the answer is G

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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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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A.
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B.
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C.
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D.
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Answers

Answer:

C. 40 square inches but i could be wrong

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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True the whole statement is true

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given

[tex]\triangle TUV[/tex]

[tex]t = 320in[/tex]

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Required

Calculate the area

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Step-by-step explanation:

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1024.

Step-by-step explanation:

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

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Answers

Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Hope this helps! Have a good day! :)

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Answer:

I think it is 15.708. sry if i am wrong

Step-by-step explanation:

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