The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $10.50. The auditorium can hold a maximum of 105 people. The drama club must make at least $990 from ticket sales to cover the show's costs. If 65 adult tickets were sold, determine the minimum number of student tickets that the drama club must sell in order to meet the show's expenses.

Answers

Answer 1

Answer:

You need to sell 39 Student tickets minimum to be able to cover the cost over all.

Step-by-step explanation:

If they sell 65 adult tickets, then you have to do 65 x 10.50 = $682.5

with that in mind you will take 308 + 682.5 because that equals 990.5 that would be the minimum amount but you would need to to take 39 x 8 to get 312 because 38 x 8 is 304 so that isn't enough.


Related Questions

Cant figure it out, Help?

Answers

747.7

d=14 we are looking for the radius divided it to half so it should be 7
the height is 10

A=2πrh+2πr2=2·π·7·10+2·π·72≈747.69905

find each probability a coin landing heads up on every toss when it is tossed 3 times

Answers

Answer:

Their is not enough information

Step-by-step explanation:

Answer:

Step-by-step explanation:Consider coin 1:

It has to be either HEADS or TAILS (obviously). If it's a “Fair” coin the probability of getting either a Heads or Tails is (1/2) for each option.

Conclusion(so far):

Prob (Heads Coin 1) = (1/2) AND

Prob (Tails Coin 1) = (1/2)

To meet the requirements of the question, the second coin toss must have the same result as for the first coin toss.

So if the result for Coin 1 was Heads then the result for Coin 2 must also be Heads.

So

(Prob (Heads Coin 1 AND Heads Coin 2) = (Prob Heads Coin1) * (Prob Heads Coin 2) = (1/2)*(1/2) = (1/4)

Conclusion (so far) (2 coins tossed):

Prob of two coin tosses BOTH giving Heads is (1/2)*(1/2) = (1/4)

AND similarly

Prob of two coin tosses BOTH giving Tails is also (1/2)*(1/2) = (1/4)

To meet the requirements of the question, the third coin toss will, by definition be either HEADS or TAILS.

AND

Prob (Coin 3 Heads) = (1/2) AND

Prob (Coin 3 Tails) = (1/2)

The question is clear: We are asked to find the Probability that the (3 tosses) are the same.

That is, if the first toss (Coin 1) is Heads, then the results for Coin 2 and Coin 3 tosses must also be Heads.

Similarly if the the first toss (Coin 1) is Tails, then the results for Coin 2 and Coin 3 tosses must also be Tails.

So for the tosses for Coins 1, 2 and 3 to each be Heads, we have:

Prob (Coin 1 Heads, Coin 2 Heads, Coin 3 Heads) = (1/2)*(1/2)*(1/2) = (1/8)

AND

Prob (Coin 1 Tails, Coin 2 Tails, Coin 3 Tails) = (1/2)*(1/2)*(1/2) = (1/8)

There are NO OTHER NUMBER COMBINATIONS WHICH MEET THE REQUIREMENTS OF THE QUESTION other than 3 Heads AND 3 Tails.

It is important to note THAT THE SITUATIONS ABOVE (3 Heads AND 3 Tails) are BOTH VALID SOLUTIONS.

Therefore

The Probability for 3 Heads is (1/8)

AND

The Probability for 3 Tails is (1/8)

BUT BOTH THESE SOLUTIONS ARE VALID PROBABILITIES and BOTH meet the requirements of the question.

Therefore the overall probability is THE SUM OF BOTH PROBABILITIES, that is:

The probability that after 3 tosses, the tosses of each coin ALL give the same result is:

(1/8) + (1/8) = (2/8) = (1/4) or 0.25 or 25%

This means that after 3 coin tosses there is a 25% probability that we will get either 3 Heads or 3 Tails.

(A note of interest: It would be an error to ignore the fact that there are TWO valid number combinations which meet the requirements of the question, not one).

(In my analysis above I have identified ONLY the valid-number combinations and spent little time considering non-valid-number combination).

Help please!!! I don’t knowwwwwwwww

Answers

Answer:

4th dot

Step-by-step explanation:

because


This my last one help

Answers

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

Help you plz would really appreciate it

Answers

Answer:

Oh period sis mama gwourrll

Step-by-step explanation:

help lol hshsjsjdjehdj

Answers

Answer:

1017.6

Step-by-step explanation:

i think, if it is asking for the original sales price

Answer:

Sale price of phone:  $640

Sale price including tax:  $678.40

Step-by-step explanation:

If the discount is 20%, the price actually paid is (100% - 20%), or 80% of full price.

Multiplying $800 by 0.80 results in the sale price:  $640.

The 6% sales tax is 0.06($640), or $38.40.

Paying $38.40 sales tax on the $640 purchase results in a total paid of $678.40.

1. Does the following function represent exponential growth or decay?

Answers

Answer:

B - Decay

Please make my answer the brainliest!

Step by step explanation:

$1,000 at 7.5% for 30 months

Answers

Step-by-step explanation:

principal=1000

rate=7.5

time=30 moths

interest= principal multiplied to rate multiplied to time by 100

which give 100multiplied to 7.t multiplied to 30 by 10p

which gives 22500by 100

which gives 225

amount= interest plus principal

= 225+1000

=1225

if this is the given data 24, 12, 19, 26, 19, 20, 15, 17 what is the median​

Answers

Answer:

24 i'm pretty sure sorry if i am wrong

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The median is the middle number of a data set. To find it, you need to put the numbers in order:

12, 15, 17, 19, 19, 20, 24, 26

Then I like to cross off a number from each end, then one more, working my way toward the middle. Doing this, you're left with 19 and 19 in the middle. When you have 2 numbers, you average them. In this case, you don't have to. The median is 19.

Please LMK if you have questions. If you can mark brainliest, I'd appreciate it. If not, I understand. :)

Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?

Answers

Answer:

profit as a percentage= 21.74%

Step-by-step explanation:

Giving the following information:

Purchase price= $180,000

Selling price= $230,000

To calculate the profit as a percentage, we need to use the following formula:

profit as a percentage= (profit/selling price)*100

profit as a percentage= 50,000/230,000*100

profit as a percentage= 21.74%

Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.

Answers

Answer:

X + 4 = 48

Step-by-step explanation:

Before hat purchase :

Michael has $68

Craig has $24 less than Michael;

Hence, Craig = $68 - $24 = $44

Michael purchased hat worth, $20

x = amount Craig has after Michael purchase hat:

x = Amount Michael has - $24

Amount Michael has after hat purchase = $68 - $20 = $48

x + 4 = 44 + 4

X + 4 = 48

In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%

Answers

Answer:

finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.

27 x

50 X

100

=D1%

Step-by-step explanation:

Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=

Answers

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

plz help me with this its hard :(

Answers

Answer: 50 degrees

Step-by-step explanation:

Since the angle is 80 degrees, you need to subtract 80 from 30 to get f.

80-30= 50

Which expressions are equivalent to the given expression?
y^-8y^3x^0x^-2

1.) x^-2y^-5

2.) 1/y^24

3.) x^2y^-11

4.) x^2/y^11

5.) y^-24

6.) 1/x^2y^5

I hope this makes sense but I don’t understand it

Answers

Answer:

can u in some way better write down the expression so i can solve..? :)

The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B

Answers

Answer:

its a acute 120 degree angle

happy april fools day you nerds now take my points

Answers

Happy April fools day ?

Answer:

WOW THANK YOU SO MUCH!

Step-by-step explanation:

I'm more of a dog lover and not a nerd, but hey I'll take what I can get!

If your like dogs, can you guess what kind of dog this is?

(yes they are all the same breed just different coat colors)

Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)

Answers

Answer:

3. A. ten thousandths

4. C. tenths

5. D. hundredths

6. C. ten thousandths

hope you have a blessed day

Step-by-step explanation:

Answer:Question 3 answer is A.

Question 4 answer is C

Question 5 answer is D

Question 6 answer is C

YOUR WELCOME

por favor alquien me ayuda

1.Expresa como una potencia el área del cuadrado 4/5


2.Expresa como una potencia el volumen del cubo 5/7

3.Una fábrica de pasteles de hojaldre, los empaca en forma individual en cajas cúbicas de lado 9,5 cm.
10. ¿Cuál es el volumen de las cajas para empacar pasteles individualmente?

11. Si se empaca lo pasteles en grupos de 25 cajas como muestra la figura, ¿Cuál será el volumen de
cada grupo de cajas?

22. El área de un cuadrado es 1,44 cm2
. ¿Cuál es la medida de cada lado del cuadrado?

23. Un tanque de agua de forma cúbica puede almacenar 0,729 cm2de agua. ¿Cuál es la medida de
cada lado del cubo

Answers

3 mark Brinkley ist

If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.

Answers

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

round 3.26×5.15 yo significant figure​

Answers

Answer:

16.789

Step-by-step explanation:

The end of the number doesnt end in a 0 and all of the numbers after the decimal are significant

Answer:

16.789

Step-by-step explanation:

The end of the number doesn't end in a 0 and all of the numbers after the decimal are significant

if i helped 255 people and i only answered 38 questions whats my average number of people that i help per question?

Answers

Answer:

About 7 users per question

Step-by-step explanation:

Just divide the number of users helped by the number of questions answered.

A book has an unknown number of pages,if you know Sue read 60 pages the first weekend she had it.She then read 1/3 of the book on the second weekend.Finally,she read the remaining 84 pages on the third weekend.Using this information,how many pages did the book have?

Answers

You must add 60 with 84 which gives you 124

Which one of these grids is shaded red and blue in the ratio 0.5:1?
А.
B
C
D
E
Fחד

Answers

Answer:

C

Step-by-step explanation:

0.5 red : 1 blue

1 red : 2 blue

1.5 red : 3 blue

2 red : 4 blues

2.5 red : 5 blue

3 red : 6 blue

3.5 red : 7 blue

4 red : 8 blue

(per every half a red, there is one whole blue)

C has 4 red and 8 blue

0.5 red x 8 blue = 4 red

1 blue x 8 blue = 8 blue


1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?

Answers

i think it’s 1,247. explanation: take 20% of 1450 and subtract it since it’s on sale, giving you 1160 after subtracting 290. then, take 7.5% of 1160 and add it. 7.5% of 1160 is 87, so if you add 87 to 1160, you get $1,247. hope this helped!
$1225 that’s the answer i got it right on the plato

Can someone help me... 2(X - 12) = 10

Answers

Answer:

It's super duper easy

Step-by-step explanation:

2(X - 12) = 10

2x-24=10

2x=34

x=17

....

Answer:

distribute

2X-24=10

2x= 34

X= 17

Step-by-step explanation:

Which has more volume: an eight-inch cube or a cone with a diameter of eight inches and a height of eight inches? Please explain.

Answers

Answer: Cube has more volume

Step-by-step explanation:

Volume of a cube = length³

= 8³ inch

= 512 inch³

Volume of cone = 1/3πr²h

= 1/3 × 3.14 × 4² × 8

= 133.97 inch³

Therefore, the cube has more volune

John made 12 out of 30 free throw shots. About how many out of the next 10
free throw shots would you expect him to make? *

Answers

Answer:

4/10 i believe

Step-by-step explanation:

because with his first mount of shots his percent was 12/30

so just change the denominator by dividing by 3

12/30 divided by 3...

4/10

Answer:

4/10     the answer is 4/10

pls help with this question!
thx!

Answers

Answer:

b = 37 degrees

Step-by-step explanation:

all of the angles on a triangle added up equal 180 degrees

111 degrees

32 degrees

111 + 32 = 143

180 - 143 = 37

b angle = 37 degrees

Answer: 37 degrees.

Step-by-step explanation: a triangles degrees all add up to 180 so 111+32=143 and 180-143=37 so 37 degrees.

A new bank customer with $4000 wants to open a money market account the bank is offering a simple interest rate of 1.5% how much interest with a customer in 20 years

Answers

Answer:

$1200

Step-by-step explanation:

Given data

Principal=$4000

Rate=1.5%

Time= 20years

The expression for simple interest is

SI= PRT/100

Substitute

SI= 4000*1.5*20/100

SI=120000/100

SI=$1200

Hence the interest is $1200

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