Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children's tickets that were sold.

Answers

Answer 1

Let, number of children are x and number of adult are y.

Total number of seats, T = 180.

x + y = 180     ....1)

Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.

So, total amount :

8.5x + 12.5y = A

8.5x + 12.5y = 1826    ....2)

Solving equation 1) and 2) , we get :

8.5x + 12.5( 180 - x ) = 1826

8.5x - 12.5x + 2250 = 1826

-4x = -424

x = 106

y = 180 - 106 = 74

Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.

Hence, this is the required solution.


Related Questions

Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?

The absolute error is _______

Answers

Answer:

32

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

Square root of 244 simplified radicals

Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.


Solve the equation for y: -8x + 4y = 20
A)
y-2x5
B)
y = 2x + 5
y = 2x+5
1/3x + 20
D)
y =

Answers

Answer:

y=2x+5

Step-by-step explanation:

Some
One help me with this

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

A dozen of roses cost $64.44. How much did each rose cost?

Answers

Answer:

5.37

Step-by-step explanation:

if 12 roses cost 64.44 and the price of one is x then

12x=64.44

x=64.44/12

x=5.37

Find the value of X.

Answers

Answer:

X=-2.5

Step-by-step explanation:

You take -7.5 and distribute to the x and 3 so that would be -7.5x-22.5=3.75 then you take -22.5 and do inverse operation and do 22.5 on both sides which then you will have -7.5x=-18.75 then you divide both side by -7.5 and get -2.5

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.

__

There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.

Answer:

see attached

Step-by-step explanation:

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

whats 0 divide by 0 heilpoudjcbjdfvhckdbcu k hybhlxbc jhvwdgv

Answers

Answer:

Its undefined lol

Step-by-step explanation:

Answer: Any number divided by 0 is undefined.

Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?

Answers

Answer:

use caculator and do 48 divided by 3.95

Step-by-step explanation:

and u will get your answer

Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)

Answers

Answer:

The new coordinate of B' will be ( -1, 6)

The translated coordinate of the point B' will be (-1,6).

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,

B = ( 3, 0 )

Translated 4 units down and 6 units right,

B' = ( 3 - 4 , 0 + 6 )

B' = ( -1, 6 )

To know more about translation follow

https://brainly.com/question/12861087

#SPJ1

What is the solution to the system of equations?

Answers

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )


[tex]80 = 6400 \div [/tex]
plssss I need help​

Answers

is there more to the question?

HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

it’d be awesome if someone new the answer for number 6

Answers

point slope form: y-y1 = m(x-x1)
slope formula: m = y2-y1/x2-x1

substitute in for slope formula: -3 -2/0-4 = -5/-4 = 5/4
so the slope is 5/4

now pick any point (i’m using (4,2)) and plug it it in with the slope into point slope form

y-2 = 5/4(x - 4)

now solve

y-2 = 5/4x - 5
y = 5/4x - 3

ANSWER: y = 5/4x -3

Answer:

Step-by-step explanation:

3 - 2 / 0-(-4)

m= slope =1/4

y1  - Y2= m (x1- x2)

y=(1/4) x+ 3

slope intercept y=(1/4) x+3

point slope  y-3=(1/4)(x-0) or y-2=(1/4)X+4

standard form (1/4) x-y= -3

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

least to greatest 8/9 6/9 5/9 7/9

Answers

Answer:

5/9 6/9 7/9 8/9

WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11

Answers

Ojhhha amhenamajaja a Jajajaja and

HELP ME PLEASE HURRY

Answers

Answer:

x=-2

Step-by-step explanation:

What is an equation of the line that passes through the points (6,4) and (4,1)

Answers

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]

What is the probability that a randomly selected person is a woman given that they own a pet

Answers

Answer:

lmk if i am incorrect

Step-by-step explanation:

78/100 is .78

there is a 78 percent chance that a woman has a pet

4. Evaluate the following expression for r= 5.
2(r2 - 8)

Answers

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

9 rubberbands

Step-by-step explanation:

If it helps. Think of 1/4 as dividing by 4 and then multiplying by 1.

36/4 = 9 x 1 = 9.

Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?​

Answers

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

Find the surface area of the prism​

Answers

Answer:

SA = 5645cm²

Step-by-step explanation:

We have three pairs of congruent rectangles

9cm × 4m; 9cm × 5cm and 4m × 5cm

We know 1m = 100cm, therefore 4m = 400cm

The formula of an area of a rectangle l × w:

A = l · w

Substitute:

A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²

A₂ = 9cm · 5cm = 45cm²

A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²

Calculate the surface area:

SA = A₁ + A₂  + A₃

SA = 3600cm² + 45cm² + 2000cm² = 5645cm²

Answer:

202cm²

Step-by-step explanation:

2×(5×9)+2(4×5)+2(9×4)

90+40+72=202cm²

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