The school that Kathryn goes to is selling tickets to a spring musical. On the first day
of ticket sales the school sold 12 senior citizen tickets and 14 student tickets for a total
of $132. The school took in $108 on the second day by selling 12 senior citizen tickets
and 10 student tickets. What is the price each of one senior citizen ticket and one
student ticket?

Answers

Answer 1

Answer:

Senior citizen ticket = $4, student ticket = $6

Step-by-step explanation:

To do this, form a system of equations where x = the cost for a senior citizen ticket and y = the cost for a student ticket.

Since 12 senior citizen tickets and 14 students tickets cost $132, you get

12x + 14y = 132.

Since 12 senior citizen tickets and 10 students tickets cost $108, you get

12x + 10y = 108.

You can subtract those two equations, so

12x + 14y = 132

-(12x + 10y = 108)

and you get

4y = 24

divide both sides by 4

y = 6

substituting into the equation 12x + 10y = 108,

12x + 10(6) = 108

12x + 60 = 108

subtract 60 from both sides

12x = 48

divide both sides by 12

x = 4

A senior citizen ticket costs $4 and a student ticket costs $6.


Related Questions

$12.00 for 3 hours

Unit rate

Answers

Answer:

$12 : 3h = $4/h

Unit rate : $4

Step-by-step explanation:

Answer:

$4/hour

Step-by-step explanation:

12 ÷ 3 = 4

Therefore, $4 per hour.

Given that, 1 Turkish lira = £0.18, convert £275 into Turkish lira. Give your answer to the nearest lira.

Answers

Answer:

i think it is

Step-by-step explanation:

1 Turkish lira = £0.18

£275 / 0.18 = 1527.7

I have no clue what I’m doing please help! I’m struggling in Graphing Radical Functions!

Answers

Answer:

I'm pretty sure you are correct, but it is reflected over the x-axis.

Step-by-step explanation:

What is Sin 45 degrees?

Answers

Answer:

The value of Sin 45 degree in decimal form is 0.7071067812.  Sin 45 degree in decimal form is 0.7071067812. Sin is one of the most important functions in trigonometry as it is used to find out the unknown values of the angles and length of the sides of a right-angle triangle.

hope i was clear and that this helps!! ^^

have a great day!!

The sin 45° = 1 /√2 is answer.

It is required to find the value of sin 45°.

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

As we know that a right angled isosceles triangle has two non-right angles equal.

By applying the Pythagorean Theorem, we conclude the hypotenuse to be  √2 .

sinθ=perpendicular/hypotenuse

sin45°=1 /√2

Hence, sin45°=1 /√2

Learn more about trigonometry here:

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If I moved up 8 and then moved down 8, what can you tell me about my ending position?

Answers

I'm 99% sure your back in your starting position

What is the equation of the following line? Be sure to scroll down first to see all answer options (2,10) (0,0)

Answers

y=5x is the correct answer

I need help please asap

Answers

Answer:

(2, 7)

Step-by-step explanation:

you just look at the point where the two lines intersect.

Kevin has ridden 42 miles of a bike course. The course is 60 miles long. What percentage of the course has Kevin ridden so far

Answers

Answer:

70%

Step-by-step explanation:

42/60= 0.7= 70%

Select the numbers below that are part of the domain of the function. (3, 0); (-6, -5); (0,-3) ; (-9, 7) ; (6, 4)

Answers

Answer:

3, -6, 0, -9, 6

Step-by-step explanation:

Select the numbers below that are part of the domain of the function. (3, 0); (-6, -5); (0,-3) ; (-9, 7) ; (6, 4

The domains are independent variables in Mathematical equations. They are the variables that determine the range of any Mathematical equations.

From the series of numbers given above, the domains are:

3, -6, 0, -9, 6

J’(-7, -3) is the image of J after translation (x, y) → (x - 5, y + 4). What are the coordinates of J?

Answers

Answer is (-12,1)

Step-by-step explanation:

(-7-5, -3+4)= (-12,1)

The coordinates of J are (-2, -7).

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Given that, J’(-7, -3) is the image of J after translation (x, y) → (x - 5, y + 4)

We have, x-5 = -7

x = -2

And, y+4 = -3

y = -7

Hence, We get the coordinates of J are (-2, -7).

For more references on translation, click;

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Lyla buys a fish tank that has the dimensions b by b? by 4 What is the volume of her new fish tank?

Answers

Since calculating volume is multiplying the side lengths together we first have:

b x b x 4

Then we can simplify b x b to b ²

And when you multiply b² by 4 you get 4b²

Answer: 4b² is the volume of the fish tank.

Answer:

4b² is the volume of the fish tank.

Step-by-step explanation:

I think

PASS for FAIL plz help

Answers

don’t worry i got you.


the answer is : the second one.
y<-2x+1

Kurt buys a box of 96 crayons from $10.56.


Which is the best estimate for the cost for each crayon?

a. 10.00

b. 1.00

c. 0.10

d. 0.10

Answers

C
Step-by-step explanation:
10.56/ 96= 0.11 which you can round down to 0.10

please answer ASAP. will give brainliest

Answers

12 × 12=144

12 × 20 = 240

240 + 144 = 384

PLEASE HELP ASAP ! A. , B. , or C?

Answers

Answer:

Yea

Step-by-step explanation:

The question am waiting for

Dana said that​ speed, s, could be either an independent or dependent variable. Write a situation where​ speed, s, is an independent variable. Then write a situation where​ speed, s, is a dependent variable.

Answers

Answer:

As dependent variable;

speed = distance/time

As independent variable

distance = speed * time

Step-by-step explanation:

When we say dependent variable, we mean that the value of the speed depends on some values.

When we say independent, we mean the value of some quantities is dependent on the speed.

As dependent variable;

speed = distance/time

As independent variable

distance = speed * time

Answer:

Part 1: C. Speed, s, could be an independent variable affecting the time it takes to walk a certain distance.

Part 2: A. ​Speed, s, could be a dependent variable based on how fast your legs move.

Step-by-step explanation:

The other person's answers weren't right at all.

I just answered these same questions that those are the correct answers.

Hope this helps someone else!!!!!

PLEASE MARK MY ANSWER THE BRAINiEST!!!!

THANK YOU!!!!

Use the graph to write a linear function that relates y to x.
y=?

Answers

Y=-2
As the line goes through the y axis
y= -4x-2
This is the equation that represents graph because slope = rise/run in this case 4/-1. The y intercept is the point were the line intercepts the y axis in this case it would be 2. Put that all together with refreance to the equation y=Mx +b it would be y=-4x-2.

A park is rectangular with a length of 2/3 miles. If the area of the park is 1/2 square miles, what is its width?
Input your answer as a fraction.

Answers

2/3 divided by 1/2

1
2
=
2
3

2
1
=
4
3

Answer is 4/3
As a mixed number it is 1 1/3

Please help me I’ll give u brainliest and if u do thank u

Problem: Find the equivalent ratio in simplest terms
80:54

Answers

Answer: 40:27

Step-by-step explanation: 80:54 / 2:2 = 40:27

y=1/8x−1
−5x+4y=−13

A. (0,−1)
B. (8,0)
C. (1,−78)
D. (2,−34)

Answers

The answer is letter D
Have a nice day and can i have a brainliest please?

Evaluate each expression for a = -4, b = 3, and c = 2.
3a-1

Answers

Answer:

the answer is -13

Step-by-step explanation:

Write the exponential equation for this scenario. Georgiana invests $3000.00 in a CD. The CD earns 10% annual interest. How much would Georgiana's investment be worth after 30 years?

Answers

Answer:

The exponential equation is;

F = 30,000(1.01)^30

The value is;

$40,435.50

Step-by-step explanation:

Here, we are to write an exponential equation

Exponential equations generally take the form;

F = I(1 + r)^t

where F is the future value

I is the initial value

r is the growth percentage

t is the time

with respect to the question;

F = ?

I = 3,000

t = 30

r = 10% = 10/100 = 0.1

Writing the equation, we have

F = 30,000(1.+ 0.1)^30

F = 30,000(1.01)^30

F = $40,435.50

Mr. Jenkins brought 6 boxes of donuts to school. Each box contained 12 donuts. There was 8 donuts not eaten. How many donuts were eaten?

Answers

Answer:

64 Donuts were eaten

Step-by-step explanation:

1: Do 12*6 to get 72

2: Do 72 - 8 to find out the answers 64

HELP ASAP PLEASE!
A rock is thrown upward with a velocity of 21 meters per second from the top of a 43 meter high cliff, and it misses the cliff on the way back down. When will the rock be 5 meters from ground level? Round your answer to two decimal places.
ANSWER: _____ secs

BRAINLEST AND THANKS

Answers

7 meters per second let me know if it’s right

I need to make a triangle. One side is 12 feet and the other is 8 feet. Identify each value that could NOT be the length of the third side.

7 feet
12 feet
20 feet
23 feet
5 feet
19.9 feet
4 feet

Answers

Answer:

20 feet, 23 feet, 4 feet could NOT be the length of the third side ⇒ C, D, G

Step-by-step explanation:

In any triangle

The length of each side should be greater than the difference of the lengths of the other two sidesThe sum of the lengths of any two sides greater than the length of the 3rd side

∵ One side is 12 feet and the other is 8 feet

→ Find their difference and sum

∵ Their difference = 12 - 8 = 4 feet

∵ Their sum = 12 + 8 = 20 feet

→ By using the rules above

∴ The length of the third side is between 4 feet and 20 feet

4 < third side < 20

∵ 7 feet, 12 feet, 5 feet, 19.9 feet are between 4 feet and 20 feet

7 feet, 12 feet, 5 feet, 19.9 feet could be the length of the third side

∵ 20 feet, 23 feet, 4 feet are not between 4 feet and 20 feet

20 feet, 23 feet, and 4 feet could NOT be the length of the third side

Please help me it would be really nice ❤️

Answers

Answer:B

Step-by-step explanation:

Answer:

Correct answer is B

Step-by-step explanation:

I hope it helps ❤❤

Rearrange the equation so q is the independent variable.

-7q + 12r = 3q- 4r

Answers

Answer:

q=8/5r

Step-by-step explanation:

-7q+12r=3q-4r

-7q-3q=-4r-12r

-10q=-16r

q=8/5r

Find the slope-intercept
y - 7 = 14 ( x - 2 )

Answers

Answer:

[tex]y = 14 x -7[/tex]

Step-by-step explanation:

[tex]y - 7 = 14 ( x - 2 )[/tex]

re-arranging equation yields

[tex]y = 14 x -14 + 7[/tex]

[tex]y = 14 x -7[/tex]

This is equation of straight in slope-intercept form

x= y-7/14 + 2 can I get a thanks

What is the answer, please help?

Answers

Answer:

are you on prodigy?

Step-by-step explanation:

the awnser is 6/5

2(x + 4) = 4x + 3 - 2x + 5

Answers

Answer:

Assuming you're asking for the value of x, the answer would be 4.

Step-by-step explanation:

2(4 + 4)

2(8) = 16

4(4) + 3 - 2(4) + 5

4 * 4 = 16

2 * 4 = 8

16 + 3 - 8 + 5

16 + 3 = 19

19 - 8 = 11

11 + 5 = 16

16 = 16

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