Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775.

How many of each type of ticket were sold?

State the equation used to solve, along with both answers.

Answers

Answer 1

Given:

Cost of adult's ticket = $15

Cost of  children's  ticket = $8

Total tickets = 725

Total sales = $8775

To find:

The number of each type of ticket were sold.

Solution:

Let x be the number of adult tickets and y be the number of children's ticket.

Total tickets : [tex]x+y=725[/tex]         ...(i)

Total sales : [tex]15x+18y=8775[/tex]           ...(ii)

Multiply equation (i) by 15.

[tex]15x+15y=10875[/tex]         ...(iii)

Subtract (iii) from (ii),

[tex]15x+18y-15x-15y=8775-10875[/tex]

[tex]3x=-2100[/tex]

[tex]x=-700[/tex]

Putting x=-700 in (i), we get

[tex]-700+y=725[/tex]

[tex]y=725+700[/tex]

[tex]y=1425[/tex]

Therefore, the number of adult tickets is -700 and number of child tickets is 1425.

Note: The number of tickets cannot be negative. So, there must be some error in the question.


Related Questions

Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.​

Answers

See attachment for math work and answer.

PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)

Answers

Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

pls help.............​

Answers

Answer:

its c i think

Step-by-step explanation:

flip it around to where the right angles are in the same spot

Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21

Answers

Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

On the Guardian lines a and B

Answers

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

Answers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

10.9 as a fraction or mixed number

Answers

The answer is 10 9/10 hope this helped
10.9 as a fraction 109/10 !!

The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?

Answers

Step-by-step explanation:

3+5=8

40÷8=5

5x5=25 girls

5x3=15

Answer:

the number of girls are 16

please help fast i have no clue what this is meaning
ILL MARK U BRAINLIEST

Answers

Answer:

A function is a relation that is either

one-to-one, meaning each output only has one inputmany-to-one meaning some outputs can have more that one input, but all inputs only have one output

So, That pic is cramped, don't even know what functions are being referenced but

from the a, b, c, d relation

It is not a function because some inputs have more that one output, which fails our man-to-one rule

From the equations

-3x = 15 is not a function, because it only has one input but more than one output breaking rule 12y=10 is a function because every input x has only one output y, it is many-to-one3x-0.25y=3 is a function, it is one to one

From the graph

the line is a function, since it is many-to-one

From the points

the x coordinate is the input, not points (2,6) and (2,3) have the same input for two outputs, breaking rule 2, that each input should have only one output. So the points are not a function

pleas help will mark brainlest the choices are at the bottom

Answers

Answer:

1. x is greater than -1

2. x is less than or equal to -1

3. x greater than or equal to -1

4. x is less than -1

Step-by-step explanation:

The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line

You should join my zoom call

Greg earns a salary of $300 per week plus an additional
6% commission on his sales. If his weekly salary
increases by $50 and his commission increases to 7%
how much will Greg earn if his weekly sales are
$4,000?

Answers

Given :

Greg earns a salary of $300 per week plus an additional  6% commission on his sales.

To Find :

If his weekly salary  increases by $50 and his commission increases to 7%  how much will Greg earn if his weekly sales are  $4,000.

Solution :

New weekly salary, S = $( 300 + 50 ) = $350 .

New commission on $4000 sales :

[tex]C=\dfrac{4000\times 7}{100}= \$280[/tex] .

Therefore, total earning T = S + C = $( 350 + 280 ) = $630 .

Hence, this is the required solution.

Graph the linear equation y = 2

Answers

Answer:  Please look at the steps to see the answers.

Step-by-step explanation:

The line y= 2 has a slope of 0 meaning that for any input of x  the results will always be 2.

This means the the graph will be a horizontal line through the point, (0,2)

You can also use this table to graph it;

 

x         y  

0          2

1            2

2            2

3            2

4            2

5            2

6            2

-1           2

-2          2.

You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.

Answers

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]

Pls I need help !!!!!!!!!

Answers

Answer:

b=100 and c=100

Step-by-step explanation:

Because 100 is across a no value which is also 100 because they are the same and the b and c sides too so they both are 100

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[tex]100° + b = 180°[/tex]

Because they make straight line.

Also ;

[tex]100° + c = 180°[/tex]

Thus :

[tex]b = c[/tex]

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[tex]100° + b = 180°[/tex]

Subtract sides 100°

[tex] - 100° + 100° + b = 180° - 100° \\ [/tex]

[tex]b = 80°[/tex]

So ,

[tex]b = c = 80°[/tex]

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can you help me figure out how to graph f(x)=-5x+4 with a picture of the graph ​

Answers

Make a table and you’ll get your points (0,-4) and (-4/5,0)

Is this function linear or nonlinear?​

Answers

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

How can Lakota describe the data on the dot plot?
Choose all that apply.
spread
gap
peak
color
size of dots
cluster

Answers

Answer:

a,b,c,f

Step-by-step explanation:

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

What is the dot plot?

A statistical chart called a dot chart or dot plot is made up of data points that are represented on a very basic scale, usually using filled-in circles. The dot chart comes in two widely used but quite different forms.

A statistical chart made up of data points drawn on a relatively basic scale is known as a dot diagram, sometimes known as a dot plot. One of the simplest statistical plots is the dot plot, which is typically applied to tiny data sets. They can be used to draw attention to outliers, gaps skew in the distribution and clusters.

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

More about the dot plot link is given below.

https://brainly.com/question/21862696

#SPJ6

Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4

Answers

Answer:

653

Step-by-step explanation:

590 ÷ 5 with the remainder of what

Answers

Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

sup help me plz owo owo

Answers

Answer:8x^2-4x-5

Step-by-step explanation:just subtract

Answer:

I got 8x^2-4x-5 but I'm not super sure

Step-by-step explanation:

please answer this friends​

Answers

Answer: 6/9

Step-by-step explanation:

1) 2/3 + 3/4=5/7

2) 1/2+5/7=6/9

3) Did this help

A half marathon is 13.1 miles long. Which equation could be used to determine the time, t, it takes to run a half marathon as a function of the average speed, s, of a runner?

Answers

Answer:

time(t)=distance(13.1)/speed (s)

hope this helps

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

Time=distance/average speed

Step-by-step explanation:

Example:

Average speed: 13.1 miles per hour

Distance: 13.1 miles

Time: x

X= distance/speed

X= 13.1/13.1

X=1

Search for Speed/Time/Distance   (Physics)

You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60

Answers

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 3 and 4 are true or false and explain why the statements are true or false

Answers

Answer:

3- False, 4- True

Step-by-step explanation:

Garden A

Rectangle with sides

Width ⇒ 2x - 3 feetLength ⇒ 5(2x - 3) = 10x - 15

Perimeter is

2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36Garden B

Triangle with sides

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

Perimeter is

5x + 5 + 4x + 2 + 8x - 8 = 17x - 1Statement 3

The difference in perimeters is the difference is fencing:

24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

Statement 4

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

So the perimeter is going to be:

24x - 36 + 20 = 24x - 16

This statement is TRUE

Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)

Answers

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4

2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65

Answers

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

which of the following is the solution to the equation ​

Answers

17-

Dish is not a great deal but it is a great way of getting the right next round to get the rest of the meal to go to a table and brown rice SIKE

Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour?

Answers

Answer:

The amount of water leaking per hour is 3/4 of the bucket volume

Step-by-step explanation:

The given parameters are;

The volume of water in the bucket = 3/10 of the bucket volume

The time duration of the leak = 2/5 hour

Therefore;

The leak rate = Volume/Time

The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.

The amount of water leaking per hour is  [tex]\frac{3}{4}[/tex] of the bucket volume.

Given ;

The volume of water in the bucket =  [tex]\frac{3}{10}[/tex] of the bucket volume

The time duration of the leak =  [tex]\frac{2}{5}[/tex] hour

Therefore;

The leak rate = [tex]\frac{volume }{time}[/tex]

The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)

                                                                =  ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour

The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.

For more details about volume and rate change click the link given below.

https://brainly.com/question/15184412

Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

A 15 W electric shaver is used for 3 minutes. How much energy does it use?

Answers

Idk lots of physics but I think it’s 45W
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