The school that Stefan goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $225. The school took in $120 on the second day by selling 7 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?

Answers

Answer 1

x = price of a senior ticket

y = price of a student ticket

First day: x + 14y = $225

Second day: 7x + y = $120

Let's solve this system of equations by substitution

Subtract 14y from both sides on our first equation

First day: x = $225 - 14y

Substitute this value into our second equation for x

7($225 - 14y) + y = $120

Distribute the 7

$1575 - 98y + y = $120

Combine like terms

$1575 - 97y = $120

Subtract $1575 from both sides

-97y = -1455

Divide both sides by -97

y = $15

Plug this value into our first equation

x + 14(15) = $225

Simplify

x + $210 = $225

Subtract $210 from both sides

x = $15

The senior and student tickets cost $15


Related Questions

y = -X² -2x +3
What does y equal to?

Answers

Answer:

y= -1(x-1)(x+3)

Step-by-step explanation:

The way you can solve this is by factoring and using quadratics

First, you factor out the -1 in the x term

Then, you rewrite the equation into

y= -1(x^2+2x-3)

After that you factor as normal into y= -1(x-1)(x+3)

A 2-gallon bucket of paint costs $101.20. What is the price per quart?

Answers

answer: 12.65

i could be wrong if i am i am so sorry

Answer:

$25.30

I might be wrong also

Answer my question about this one please

Answers

The answer is 11 I hope this helped you

6(a + 2b +3c) = Apply the distributive property to create an equivalent expression.

Answers

Answer:

6(a + 2b +3c) =

6a +12b+18c

Answer:

6(a +2b + 3c ) = 6a+ 12b +18 c

Nine times a number decreased by 16

Answers

Answer:

9 · x - 16

Explanation:

Nine times a number: 9 · x

Decreased by 16: - 16

Put them together: 9 · x - 16

Evaluate the expression : 3m + 2n3m+2n for : m = 12m=12 and : n = 5

Answers

The answer will be 406

area model of 2(4+7)

Answers

Answer:

22

Step-by-step explanation:

2×4=8

2×7=14

14+8=22

Simplify the expression to get 22.

Use PEMDAS.

4+7=11

=2x11

there are 614,952 pepole living in a city round this number ot the nearest thousand

Answers

Answer:

615,000

Step-by-step explanation:

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Answer:

615,000

Step-by-step explanation:

614,952

Locate the thousands place:

614,952

Check next door:

614,952

If the number is greater than or equal to 5, then we round up. If it is less than or equal to 4, we round down.

9 is greater than 5. We would round up.

614,952 ≈ 615,000

Hope this helps.

What are the two solutions of 2x2 = -x2 – 5x – 1?

A: the y-coordinates of the intersection points of the graphs of y=2x^2 and y= -x^2-5x-1

B: the x-coordinates of the x-intercepts of the graphs of y=2x^2 and y= -x^2-5x-1

C: the x-coordinates of the intersection points of the graphs of y=2x^2 and y= -x^2-5x-1

D: the y-coordinates if the y-intercepts of the graphs of y=2x^2 and y= -x^2-5x-1

Answers

Answer:

the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1

Step-by-step explanation:

Answer:    its C on edg

Step-by-step explanation:

                              C C C C C C C C C

should juveniles be punished less harshly than adults? Use "leniently" in your answer

Answers

Juveniles should be punished less harshly than adults, but it depends on what they have done to earn their certain punishment. If they did something to a certain degree that deserves a harsh punishment then they shouldn’t be as leniently punished as a juvenile who didn’t do as much to deserve a harsh punishment.

6v + 38 = -4 or 2(v + 3) = -2

How do I solve this?​

Answers

6v + 48 = -4
6v + 48 - 48 = -4 - 48
6v = -52
v = -52/6

The value of v will be equal to -7.

An expression is given i.e., 6v + 38 = - 4

We have to find out the value of v by solving the expression.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

The given expression is ; 6v + 38 = -4

So ; the value of v after solving the expression will be ;

6v + 38 = - 4

6v = -4 - 38

6v = -42

v = -42/6

v = -7

Thus , the value of v will be equal to -7.

To learn more about algebra click here ;

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#SPJ2

An arithmetic sequence is represented by the function f(n) = 8 + 3(n-1). What is the 4th term of the sequence?

Answers

Answer:

f(4) = 17

Step-by-step explanation:

f(n) = 8+3(n-1)

f(4) = 8+3(4-1)

f(4) = 8+3(3)

f(4) = 8+9

f(4) = 17

A diagram of a pizza is shown.
15 cm (From center of pizza to crust)
What is the approximate circumference of the pizza? Use 3. 14 as an estimate for Pi
A. 30 cm
B. 47.1 cm
C 94.2 cm
D. 120 cm

Answers

Answer:

A. 30 cm

Step-by-step explanation:

The surface area of a 14-inch pizza is 3.14 x 49 (7 x 7 = 49) = 153.86 square inches of surface area

Answer:

30cm

Step-by-step explanation:

Which of the following describes the image of a square after a dilation that has a scale factor of 2?

Answers

Answer:

Which of the following describes the image of a square after a dilation that has a scale factor of 2? Its sides are 1/2 as long as those of the original square. Its sides are 2 times as long as those of the original square.

Step-by-step explanation:

What is an example of a quadratic pattern ?

Answers

Answer

A sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Here is an example. Terms: 12. 22. 32. 42. 52. 62. 72 .

0.41 as a fraction answer correctly

Answers

Answer:    41/100

Step-by-step explanation:   hope this helps

Answer:

41/100

Step-by-step explanation:

All you need to do to turn a decimal into a fraction is move the decimal over however many times to get through the number and put it over "1 (+ a zero for every point you move over)"

For example if that didn't make sense:

0.645 -> 645/1000

0.4 -> 4/10

0.66 -> 66/100

Hope this helped!

Use the drop-down menus to identify each number as prime or composite.
27 is
19 is
49 is
38 is
81 is

Answers

Answer:

composite

prime

composite

composite

composite

Step-by-step explanation:

prime numbers only have two factors

composite numbers have three or more

NEED HELP WITH THIS?

Answers

can see picture but i tried sorry

Is 7.336 a rational number

Answers

Answer:

Yes.

Step-by-step explanation:

Since decimals, fractions, and whole numbers are rational, this means that 7.336 is rational.

Yes, because since fractions, whole numbers and (repeating) decimals are rational, 7.336 is a rational number because it does not go on forever and you can predict what will come next (zero).

Factorise
X2 + 3√3x + 6. Please help me with this it’s urgent

Answers

Answer:

[tex](x+2\sqrt{3} )(x+\sqrt{3} )[/tex]

Step-by-step explanation:

[tex]x^2 + 3\sqrt{3}x + 6\\=> x^2 + \sqrt{3}x + 2\sqrt{3}x +6\\=> x( x+\sqrt{3}) + 2\sqrt{3}(x+\sqrt{3} )\\ => (x+2\sqrt{3} )(x+\sqrt{3} )[/tex]

Use the information to answer the question.
A store is having a sale on hats. The sale is buy one hat get one 50% off. The original price of one hat is $24.98. Alex bought several hats, and the
total cost was $187.35.

Answers

Answer:

10 hats

Step-by-step explanation:

Original price

$24.98

Sale price

$24.98*1.5 = $37.47 for two hats

Total cost

$187.35

Hats sold:

187.35/37.47 *2 = 10 hats

PLEASE I NEED HELP AND EXPLAIN PLZ ​

Answers

Answer:

Statement:

1. C

2. A

3. B

Reason:

1. F

2. E

3. H

Step-by-step explanation:

C is very clearly the given so it goes first and B is what you're trying to prove so that goes last

Hope this helped <3

Please fill these out for me, it would mean the world to me!

Answers

Answer:

1. they can all be played by a person

2.any game played on a board, especially one that involves the movement of pieces on the board, such as chess or checkers.

3.A card game is any game using playing cards as the primary device with which the game is played

4. a game played primarily with a mulitiple sided cube

5. Paper and pencil games or paper and pen games are games that can be played with paper and pencils, usually without erasing. you also have to use a lot of creativity

6. Miniatures games are a form of tabletop game which features the use of miniature models or figures

7. a game in which players take on the roles of imaginary characters who engage in adventures

8.Unlike tabletop games, tabletop sports require physical dexterity. Included are games like table football, table tennis, and air hockey games. They are usually played indoors.

What is another way to name line ?

Answers

Answer:

Step-by-step explanation:

dash

Answer:

Since line is a one-dimensional figure, it is aka as 'straight line'.

If you are drawing a line vertically, it is aka as 'vertical line'.

If you are drawing a line horizontally, it is aka as 'horizontal line'.

WILL GIVE BRAINLIEST PLEASE ANSWER

Answers

Answer:

1/5

Step-by-step explanation:

.09 is lower than 1/8 aka 0.125

the square root of 0.02 is also too low

1.6 is great than 18%

Hi There!!

I think your answer is  [tex]\frac{1}{5}[/tex]

[tex]Hope\ This[/tex] [tex]Helps\be[/tex]

[tex]\sqrt{Loserbrazts}[/tex]

50 POINTS PLEASE HELP AND EXPLAIN YOUR ANSWER
What information is missing to show that ▲WZX ≃ ▲YZX by HL?

Answers

Answer:

your option is correct

Step-by-step explanation:

To be two triangles congruent we have the following

Side-Side-SideSide-Angle-SideAngle-Side-Angle

option 2, and 3 give angles, but to work they have to be between the two sides, so those options can't be

so the only one is option 1

option  4 is when the triangles can't be congruent

Answer:

a

Step-by-step explanation:

the points on the number line show how many pennies for children have how many more money does the child with the most pennies have than a child with a fewest pennies ​

Answers

Answer:

link the number line

Step-by-step explanation:

Logs are stored in apile of 20 rows,with each row having one fewer log than the one below it. If there is 48 logs on the bottom row how many logs are in the pile?

Answers

Answer:

754 logs

Step-by-step explanation:

If you are starting at 48 logs on the bottom row subtracting one log for each row you go up, then you should have 28 logs in the top row.

This is because 48-20=28

now you need to find the factorial of 48 starting at 28.

Factorial is like 1+2+3+4+5=15. So it is basically just adding every single whole number that are in between 2 whole numbers.

So for this equation you would need to do: 28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48= 754.

:) Hope that helped!

Answer:

770

Step-by-step explanation:

1st raw =a = 48

2nd raw = 47

.

.

d= -1 , n = 20

Summation S= n/2 [2a+(n-1)d]

= 20/2 [ 2×48 + (20-1)×-1]

= 770

Which number line shows the solution to the inequality -2(3x-1)<8

Answers

Answer:

[tex]x > -1[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 1) < 8[/tex]

Required

Show on a number line

[tex]-2(3x - 1) < 8[/tex]

Divide through by -2

[tex]\frac{-2(3x - 1)}{-2} < \frac{8}{-2}[/tex]

[tex]3x - 1 > -4[/tex]

Add 1 to both sides

[tex]3x -1 + 1 > -4 + 1[/tex]

[tex]3x > -3[/tex]

Divide through by 3

[tex]x > -1[/tex]

See Attachment for number line

Answer:

x> 3

Step-by-step explanation:

A baker is stocking up on ingredients for the next day. She needs to bake between 32 and 48 loaves of bread. Each loaf requires 3.5 cups of flour plus an additional 0.25 cup for dusting. Complete the statement to describe the amount of flour the baker should buy to have enough flour to meet her needs without any left over.

Answers

Answer: The baker should buy a minimum of 120 cups of flour and a maximum of 180 cups.

Step-by-step explanation:

The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the number of bread made from x cups of flour.

Each loaf requires 3.5 cups of flour plus an additional 0.25 cup for dusting. Hence:

y = (3.5 + 0.25)x = 3.75x

For 32 loaves:

x = 32 * 3.75 = 120

For 48 loaves:

x = 48 * 3.75 = 180

The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.

Find out more on linear equation at: https://brainly.com/question/14323743

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