A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?

Answers

Answer 1

9514 1404 393

Answer:

126 children63 adults60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.


Related Questions

These tables of ordered pairs represent some points on the graphs of lines m and n.

Which system of equations is represented by lines m and n?


A. 2x−9y=187x−2y=14

B.x−3y=65x−y=10

C.x−8y=165x+2y=20

D.3x−4y=242x+3y=−6

Line m
x y
−3 −3
0 −2
6 0
Line n
x y
−3 −25
1 −5
6 20

Answers

Answer:

B. x−3y=6 5x−y=10

Step-by-step explanation:

I just took a test with the same problem on it.. I got it wrong but this is what the test said was right.

The system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

These tables of ordered pairs represent some points on the graphs of lines m and n.

Line m

x y

−3 −3

0 −2

6 0

The equation of the line:

y + 2 = (-2+3)/3[x]

y + 2 = x/3

3y + 6 = x

x - 3y = 6

Line n

x y

−3 −25

1 −5

6 20

The equation of the line n:

5x − y = 10

Thus, the system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Write an equation of the line shown; (-2,-2), (2,2)

Answers

Answer:

Hi there! :)

Step-by-step explanation:

Lesson: Slope/ and slope-intercept form

Slope is 0

Final answer is 0

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

A man is standing next to a 24 foot tree. the man is 7 feet tall with a shadow of 3 feet. how long is the shadow of the tree

Answers

Answer:

First we divide 24 by 7.

24÷7=3.42

now we multiply 3.42 by 3 since that was the length of the mans shadow

3.42x3=10.26

The trees shadow is 10.26 feet long.

By the way, that is a very tall man

Step-by-step explanation:

what makes two angles exterior versus interior ?

Answers

Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.

True or False?
The equation ?
15 has two solutions,

Answers

Answer:false

Step-by-step explanation:

The answer is false duh

х = 3y — 1
3х – бу = 12

Answers

Answer: x=14 and y=5

Work:

Answer:

1000000

Step-by-step explanation:

29292929292

sjsksksksn2292020wmz

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3.
What is the regular price of the mirror?
A
$15
B.
$6
C.
$9
D.
$18

Answers

Answer:

A. 15

Step-by-step explanation:

Multiply .2 by each value you have.

So 0.2 * 15=3

0.2 * 6=1.2

0.2 * 9=1.8

0.2 * 18=3.6

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
C. $45
D. $53

Answers

Answer:

B.35.50

Step-by-step explanation:

$d/20 hrs $180 for 12 hrs (answer is $300)


true or false help meh

Answers

Answer:

false

Step-by-step explanation:

Tbh I would say false

I’ll give brainless!!! Pls helpp

Answers

Multiply 5 with y equals 5y the divide 30 by 5 and multiply your answers

Help me pleaseeee!!!
Solve the equation -3x^2+2x+4= -x-3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Round to the nearest hundredth
A. x= -2.44 and x=3.12
B. x=-1.63 and x=4.44
C. x=-1.11 and x=2.11
D. x=-2.61 and x=0.42

Answers

Answer: i did c when i had the same question but it was just a guess

Step-by-step explanation:

The solution of an equation is x= -1.11 and x = 2.11.

What is a Quadratic equation?

A polynomial equation of the second degree is quadratic, which means that at least one of its terms must be squared. Quadratic equations are another name for it. The quadratic equation generally looks like this:

ax² + bx + c = 0, where x is a numerical coefficient and a, b, and c are unknown variables.

Given equation -3x² + 2x + 4 = -x - 3

simplify the equation we get

3x² - 2x - 4 -x -3 = 0

3x² - 3x - 7 = 0

The equation is solved by the Quadratic formula

x =  (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex])/2a

a = 3, b = -3, c = -7

x = [-(-3) ± [tex]\sqrt{(-3)^{2} - 4(3)(-7)}[/tex]]/2(3)

x = (3 ± 9.643)/6

taking positive sign

x = 12.643/6 = 2.1072 = 2.11

taking negative sign

x = -6.643/6 = -1.1072 = -1.11

Hence the values of x are -1.11 and 2.11

Learn more about Quadratic equations;

https://brainly.com/question/1863222

#SPJ2

Solve the proportion

Answers

b= 1/8
just put the y on the side and the numbers on the other side and that’s it

Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

Step-by-step explanation:

The total bill will be the sum of the rent and the cost for the total time spent.

$15 + $6 * 2.5

$15 + $15

$30

what's the approximate value of x​

Answers

Answer:

I think it's c. dndndbxbxhebd

Find the area of the rhombus.
7.5 yd
13 yd
13 yd
7.5 yd
[ ? ] yd2

Answers

Answer:

195

Step-by-step explanation:

At a zoo, 3 pandas eat a total of 181 1 2pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?

Answers

Answer:

6037.2 pounds of bamboo shoots does the female panda eat.

Step-by-step explanation:

Total pandas = 3

Total bamboo shoots eaten = 18112 pounds

Let baby panda eats bamboo = x

Male panda eats bamboo= 3x

Female panda eats bamboo = 2x

So, the equation will become

[tex]x+3x+2x=18112[/tex]

Now solving the equation to find value of x

[tex]x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6[/tex]

The value of x we get : x=3018.6

So, baby panda eats bamboo shoots = 3018.6 pounds

Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds

Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds

So, 6037.2 pounds of bamboo shoots does the female panda eat.

Express 28% as a
(a)
fraction in its lowest terins,

Answers

7/25 is the lowest term

Four of the interior angles of a pentagon are congruent and the fifth angle is five times as large as the measure of the other four angles. What is the measure of each of the smaller angles?
A. 60
B. 72
C. 90
D. 108
E. 120

Answers

Answer: its 60 i just did this test

Step-by-step explanation:

yolo Tallahassee Florida Free the North Side.

The measure of each of the smaller angles is 60 degrees. The correct answer would be an option (A).

What is a polygon?

A polygon is a two-dimensional flat form with straight, completely closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.

Let's represent the measure of each of the four congruent interior angles of the pentagon "x". Then the fifth angle would have a measure of 5x.

The sum of the interior angles of a pentagon is equal to 180(n-2) degrees, where n is the number of sides of the polygon. In this case, n = 5, so the sum of the interior angles is equal to 180(5-2) = 540 degrees.

Therefore, the equation for the measures of the interior angles of the pentagon is:

x + x + x + x + 5x = 540

Simplifying the equation, we get:

9x = 540

Dividing both sides by 9, we find:

x = 60

So, each of the smaller angles has a measure of 60 degrees, and the larger angle has a measure of 5x = 5 × 60 = 300 degrees.

Learn more about the polygons here:

https://brainly.com/question/24464711

#SPJ6

Simplify
8x - (4x – 3x)

Answers

Answer:

8x - 1x

Step-by-step explanation:

Just do the stuff in the ()'s  first, for this it's is 4x - 3x, then rewrite the problem and it is  simplified

HELP ME ASAP!! I WILL TRY TO MARK YOU

Answers

Answer:

d

Step-by-step explanation:

I divided it and looked at your answers

Simplify the following expression, then evaluate when x=1:


-8x + 5 - 2x - 4 + 5x

Answers

(-2x-2) is the correct answer

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt made a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.

Answers

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

A system of equations for the number of three point and two point shots Wyatt made is:

[tex]3x+2y=32 [/tex]  

[tex]x+y=12[/tex]  

Let the three point shots be c.Let the two point shots be b.

Given the following data:

Total shots = 12 shots.Total points = 32 points.

What is a system of equations?

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

[tex]3x+2y=32 [/tex]    ...equation 1.

[tex]x+y=12[/tex]     ...equation 2.

Read more on word problems here: https://brainly.com/question/13170908

Use the table to answer the following question. What is an equation that describes this relationship?

Answers

The answer is A as you use x to get y using the equation y = 8-7x e.g 8 - 7 X 0 = 8 and 8 - 7 X 1 =

The equation that describes the relationship is option A. y = 8 - 7x.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given are the values of x and y.

x : 0  1  2  3

y : 8  1  -6  -13

Equation of a line can be written as y = mx + d in slope intercept form.

m is the slope and d is the intercept along Y axis.

Slope of a line with two points (x, y) and (x', y') is,

Slope = (y' - y) / (x' - x)

Consider the points (0, 8) and (1, 1).

Slope, m = (1 - 8) / (1 - 0) = -7 / 1 = -7

Since we already have the point (0, 8), y intercept, d = 8.

Substituting these, we get the equation of line as,

y = -7x + 8 or

y = 8 - 7x

Hence the equation of the line is y = 8 - 7x.

Learn more about Slope here :

https://brainly.com/question/29027297

#SPJ5

What is an equation of the line that passes through the points (3, 4) and (4,6)? Put
your answer in fully reduced form.

Answers

slope = 6-4/4-3 = 2
i think u mean slope int form by fully reduced
y-4=2(x-3)
y-4=2x-6
y=2x-2 is the answer

у = 3х – 5
2х + 4 = 8

Answers

1. X = 5/3
2. X= 2. That is the answer for these problems

Add. (2n+4)+(4a+2) (2n+4)+(4a+2)

Answers

Answer: 8an + 20a + 6n + 14

Step-by-step explanation:

A cube-shaped box has a volume of 1 cubic meter. What is the area of one in f it’s faces?

Answers

Answer: 1 meter squared

Step-by-step explanation: 1 meter by one meter is one meter squared

Find the slope of the line that passes through (2,2) and (9,10)​

Answers

Answer: you just take the first set of points and subtract the second from it.

Step-by-step explanation: 2-9=-7 and 2-10=-8

the new set would be (-7,-8) hope this helps

Eric spends 45 minutes getting to work and 45 minutes returning
home. What percent of the day does Eric spend commuting?
plz help and if you know the awnser pleasee tell me how to get thereee

Answers

Answer:

6.25% of the day commuting

Step-by-step explanation:

45+45=1 hour 30 minutes

1.5/24

0.0625

6.25%

Answer:

6.25% of the day is spent commuting

Step-by-step explanation:

45+45=90 minutes

turn this into hour form because you want to make it easier to find out how much of a 24-hour day is spent commuting so 90 minutes = 1.5 hours

then you use 24 hours as the denominator since that is how many hours are in the day so 1.5/24=0.0625

to get this into a percentage, you multiply by 100 so 0.0625*100=6.25%

you can also solve this using solely minutes but converting to hours makes it easier in my opinion

PLEASE HELP!


Compare the two expressions using <, >, or =. For each, explain how you can determine the answer without calculating.


1. 100 x 8 ____ 25 x (4 x 7)


2. 36 elevens ____ 40 elevens - 3 elevens

3. 12 x 24 ____ 6 twenty fours, doubled


Answers

Answer:

1. >

2. <

3. =

Step-by-step explanation:

100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.

36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.

12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.

When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)

Other Questions
please help ! asapppp and dont put anything random please Jorge is sitting on a couch. Gravity exerts a downward force on him. Based on Newton's law of action-reaction, the other force acting on Jorge is the *A) downward force of the floor.B) downward force of air pressure.C) upward force of momentum.D) upward force of the couch. Find the perimeter of the triangle Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham? A. $7.50 B. $9.50 C. $10.50 D. $15.00 Advantages of homework and disadvantages Directions: Analyze each word. Write A if it is an adjective and N if it is not.1. book6. study2. write7. happy3. clean8. leave4. begin9. delicious5. pretty10. wonderful Business owners can use a(n) _____ to determine what kinds of insurance they should purchase.A. insurance analysisB. SWOT analysisC. risk analysisD. probability analysis You have discovered another alien. Find the correct rescue path before answering this question. Which statements are true about the equation of the line used to save this alien? The y-intercept is not visible on the graph. The slope does not exist for this line. The y-intercept is positive. The line crosses the x-axis at 3. Which of the following is the equation of a line that is perpendicular to the graph of y=2/5x-1 Can anyone please help with these three questions? Thanks! The first and correct answer will receive brainliest!!! Please please helpWhich human activity has the most impact on the quality of water of a stream?A: Increasing the chemical we throw in the water.B: Releasing laundry detergent into our streams.C: Not using fertilizers near the streamD: Water that has been heated and cooled.Which human activity affects the quality of drinking water?A: cutting down treesB: allowing chemical plants to burn fossil fuels in the airC:leaving trash outside for animals to eatD: runoff containing fertilizers and pesticides that will seep through our soil.How does the industrial and agricultural activities affect our watersheds?A: By allowing the water cycle to evaporate the water.B: By allowing pollutants to seep through our soil to our groundwater.C: By burning fossil fuelsD: All of the above.How does the industrial and agricultural activities affect our watersheds?A: By allowing the water cycle to evaporate the water.B: By allowing pollutants to seep through our soil to our groundwater.C: By burning fossil fuelsD: All of the above. please help me asap greater thanequal toproductsright Suppose that when a skunk sprays, the odor has a half-life stink potency of8 hours. This means that the skunks spray would have a stink odor of 100%when it is first sprayed. Then, after 8 hours, it would smell half as bad (andbe at 50% of its potency). What percent potency would still exist after 1day? Explain/show your work. A market research agency needs to constantly improve its digital communications to keep up with the competition. In 2017 it spent 250 000 on digital communication. In 2018 it spent 525 000. The agencys percentage increase in spending on digital communications from 2017 to 2018 was approximately equal to:1) 210% 2) 48% 3) 52% 4) 110% Who (or which groups) pushed to pass the National Security Act of 1947 and why? According to institutional anomie theory, why is there a need to maintain cooperation between economic and non-economic institutions?A. to support and balance the interdependency of social institutionsB. to maintain harmonyC. to educate peopleD. to raise the standard of living Use linear regression to find the equation of the line that best fits the data. Predict the average retail price of a car that is 77 years old in the spring of 1997. At what age is the car worthless? Johannes needs to buy replacement team uniforms and is looking at different prices he has a budget of 300 he needs 18 pairs of plants and 12 shirts let x represent Ballet was originally created for the wedding celebration of Louis XVI and Marie Antoinette. (True or False) would you rather have snakes for fingers or every time you talk worms come out of your mouth