Mathematics High School

An amateur drama group hire a theatre for their production. They expect to sell all 850 tickets, some at $12 and the rest at $8. The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?

Answers

Answer 1

Answer:

610 tickets for $8, and 240 tickets for $12.

Step-by-step explanation:

x + y = 850

8x + 12y = 7760

x = 850 - y

8(850-y) + 12y = 7760

6800 - 8y + 12y = 7760

4y = 960

y= 240

x + 240 = 850

x= 610

Answer 2

Answer:

240 = no. of $12 tickets

610 = no. of $8 tickets

Step-by-step explanation:

Let x = no. of $12 tickets

y = no. of $8 tickets

12x = income from selling x $12 tickets

8y = income from selling y $8 tickets

If they are to make a profit of 4000, then they need to have a total income from sales of $7760

So,  x + y = 850         and              12x + 8y = 7760

            y = 850 - x                         12x + 8(850 - x) = 7760

                                                       12x + 6800 - 8x = 7760

                                                          4x + 6800 = 7760

                                                                      4x = 960

                                                                        x = 240 = no. of $12 tickets

            y = 850 - 240

              = 610 = no. of $8 tickets

Related Questions

which is the graph of the linear equation Y is greater than or equal to negative X -3

Answers

Answer:

yea

Step-by-step explanation:

HELP PLZ DUE IN 15 MIN!

Given: ΔFGH ≅ ΔWAX. Complete the following statements.


Segment GH ≅ Segment ??


∠W ≅ ∠ ??

Answers

Answer:

Step-by-step explanation:

GH =~ AX

<W =~ <F

Answer:

Given:

ΔFGH ≅ ΔWAX

Corresponding sides or angles are congruent

Segment GH ≅ Segment AX∠W ≅ ∠ F

−3x − 8y = 20 −5x + y = 19 solved by substitution

Answers

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = [tex]\frac{-212}{3}[/tex]

y = 24

Step-by-step explanation:

-3x - 8y = 20  .... (1)

-5x + y = 19   .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = [tex]\frac{-212}{3}[/tex]

Answer:

x=-4

y=-1

Step-by-step explanation:

-3x-8y=20

-5x+y=19

rewrite for y:

y=19+5x

substitute y

-3x-8(19+5x)=20

-3x-152-40x=20

-3x-152-40x+152=20+152

-43x=172

-43x/-43=172/-43

x=-4

substitute x

-5(-4)+y=19

20+y=19

y=-1

check:

-3(-4)-8(-1)=20

12+8=20

-5(-4)+-1=19

20-1=19

Which could be an equation of the trend line shown in the graph?
a. y = 6x + 12
b. y = 8x + 15
c. y = 6x + 6
d. y = 8x + 8
(Hint: it’s not c or a)

Answers

Answer:

its d

Step-by-step explanation:

PLS HELP ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

It is 31

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

simplify a-c when a=5 c= -1​

Answers

5- -1= 6


Snsjsnankajsjfjskwkdndbsnajnww

Answer:

5- -1= -6

Step-by-step explanation:

think of it as being in debt, you owe someone 1 dollar than you borrowed 5 more dollars from them now you owe them 6 dollars, that's what subtracting negatives are like.

Write yes or no in the space provided below:
Can the sides of a triangle have lengths 2, 3, and 5?

Answers

Answer:

No

Step-by-step explanation:

Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

-3+4x-10=1/2x

Please HELP

Answers

Answer:

x=26/7

Step-by-step explanation:

Evaluate the expression. If necessary, round to the nearest hundredth.

PLEASE HELP ASAP!!

Answers

Answer: I would say that the one which you have selected is correct.

Step-by-step explanation:

I really do hope that I am right and this helps you!

   

   ___

   |     |

</>w<\>

16 X plus 3X squared minus 2X -19+ 1X squared

Answers



12.26794919 I think

It says find the measure of each angle indicated

Answers

Answer:

110 = x

Step-by-step explanation:

the ? and 40º have to sum to 150º because angle d is an exterior angle

What is the vertex of the following equation?

y = (x + 7)2 + 3

Answers

X = -17/2 is the answer if I’m correct

John leaves his home. He travels 5 blocks south and three blocks west. As the crow flies, how far is John from his home?

Answers

Answer:

5.83 blocks away from his home

Step-by-step explanation:

If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.

The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G

G^2 = 5^2 + 3^2

G^2 = 25 + 9

= 34

G = √34

=5.83

John is 5.83 blocks away from his home

Find an exponential function that passes through (2, 16) and (6, 256) with an asymptote
y=0.

Answers

Answer:she's a freshmen leave her alone anime girl before senpai comes for ya >_<

Step-by-step explanation:

please help me!!! PLEASE!!!!!!!
The system of equations (picture shown) has (blank)
blank options (shown in pictiure)
1. no solution
2. infinitely many solutions
3. one solution

Answers

Answer:

no way

Step-by-step explanation:

addison rae? is that u?

List the steps to calculate the slope/rate of change using a calculator.

Answers

Is this what you’re talking about


Find the slope of each line graphed below.

Answers

Answer:

please please answer answer

Answer:

um a is the blue and d is the one that is going up and down and bis the one that goes side to side

Step-by-step explanation:

just answer the multiple-choice pls

Answers

Answer:

its B

Step-by-step explanation:

The answer i think is B :))

Jackie is taking a week-long football class. The first day, she gains 6 yards on her only possession of the football. On the second day, she quarterbacks for 3 plays and gains 6 yards on each play. What is the total number of yards Jackie gained?

Answers

Answer:

24

Step-by-step explanation:

6 x 3 = 18 + 6= 24

What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2​

Answers

Answer:

D

Step-by-step explanation:

2/1. i need 20 characters

Proving lines parallel determine the value of X

Answers

when both l and m are parallel then

(4x+7) = (6x-63)

-2x = -70

-x = -70/2

-x = -35

x = 35

hope it helps and ur day will full of happiness

help due in 10 min ????

Answers

Answer:

7 x 7 x 7

Step-by-step explanation:

When raising a number or expression to an exponent, you are really just multiplying the number or expression by itself.

That means 7³ is 7 multiplied by itself 3 times.

7 x 7 x 7

Hope this helps!

if bob has 900 apples, and then his fat self ate 800, what is he left with?

PLZ HELP IM SO DESPERATE

Answers

Answer:

100 and even fater

Step-by-step explanation:

Answer:

100

Step-by-step explanation:ust do 900-800 dont be desperate

Jessica has 3 packages of raisins that she wants to give to 4 friends. If each friend gets the same amount, how much will each friend get?

Answers

Answer:

0.75

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Translate the following verbal expression into a variable expression.
Eight divided by the sum of a number and three.

Answers

Answer:

8÷(x+3)

Step-by-step explanation:

it doesnt specify what number you add with 3 so you substitute it with a variable such as x.

The sum is adding so x +3 and then divide by 8

8 / (x+3) would be the variable expression

what does it mean when you cancel out the variables and you have a solution like 5=5?

Answers

Answer:

Then you have infinite solutions

Step-by-step explanation:

if no solution, you would get sum lyke 4 = 5

if infinite soltution you would get sum lyke 3 = 3

if you have one solution, expect to get sum lyke x = 5

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Number 3 is C number 4 is c

Carson's bill for dinner at a restaurant was $48. He left a 15% tip. What was the total cost of his dinner, including tip?​

Answers

Answer: $55.20

Step-by-step explanation:

If $48 = 100%, 15% + bill cost = 115%

115% = 1.15

Multiply 48 × 1.15 = $55.20

Note- It would mean the world to me if you could mark me as brainliest!

Answer:

$55.20

Step-by-step explanation:

48+%15=55.20 based on how much you're bill os affects how much the tip is worth

what are the answers to these?!?!?!?>>>>>
2(y−3)=4 (solve for "y")
2x+5y=10 (solve for "x")
6x+3y=4y+11 (solve for "y")
3(2x+4)=2+6x+10 (solve for "x")
y=−3x+6 (solve for "x")
m=8−2(p−m) (solve for "p")

Answers

1) y=5

2) x=(10-5y)/2

3) y=(11-6x)/-3

4) x=0

5) x=(-y+6)/3

6) p=(8+m)/2

Your friend has x pennies. You have 29 pennies. You and friend have a total of 40 pennies. Write an equation that you can use to find x

Answers

Answer:

40 = 29 + x

Step-by-step explanation:

hope this helped, sorry if wrong

Other Questions
A picture-framing shop has the sign shown below in the window.Frame Sale!Half Off 17-inch-by-24-inch FramesA customer has a 4-inch-by-6-inch picture. If the customer wants to enlarge the photograph so that it will come as close as possible to fitting a sale frame, how many times larger should the photo be? A. 2 B. 3 C. 4 D. 5 E. 13 Write the equation of the line given the points (2,0) and (3.-1) A suffix for the most bright Fill in the blanks with the present tense of the indicated verbs HELP IM BEING TIMED ANSWER FAST PLEASE Enter a digit in each box to complete the division problem.please help On a particularly rainy day the amount of rainfall measured in a rain gauge increased at arate of 1.5 inches each hour for 4 hours. What is the total change in the amount of rain thathas fallen after 4 hours? Which statements are true of the spinal cord?Check all that apply. Divide 945 in the ratio 2:5 Which of the following best describes the graph of the line represented by the table below? How do natural resource impact international relationships? Name three modern day countries that used to be part of the French Empire in Africa. A pear plant with the genotype Aa can produce gametes containing:1: either AA, Aa, or aa2: only the dominant A3: either A or Aa4: only the recessive a5: either A or a Marian buys a dress that costs $32.00. She pays 10%sales tax.How much does she pay for the dress, with tax?A. $5.20B. $35.20C. $34.00D. $28.80Please help European and North America coal fields line up.A.trueB.false a chef fills 50ml container with 43.5 g of cooking oil. what is the density of the oil Pls help due in 30 mins!! It is math. Help pls I really need it pls What is "the cloud"?A. The delivery of services and storage of data on multiple serversusing the InternetB. A computer that provides services to and stores data but cannotbe accessed by other computersO c. A system of devices that can communicate with one anotherthrough analog signals sent through wiresD. A way to send analog data from one specific computer to anothercomputer that stores it as digital data Do other planets have months? Why or why not?