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Write an equation to represent the following situation:
Adult tickets for a movie cost $12 and tickets for a child cost $8. If the theater collected $600 for the 10PM show, how many of each ticket did they sell?
How many children's tickets were sold if 26 adult tickets were sold?
What do the intercepts represent ?

Answers

Answer 1
26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312

There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.

$600 - $312 = $288

This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.

Since each children ticket is $8, you would do

8x = $288

(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)

Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.

x = 36

To check our work, we will substitute the value of x into the equation

8(36) = $288
288 = $288

Therefore, there were 36 children tickets sold for the 10PM show.
Answer 2

Answer:

A. 36 children tickets

B. The intercepts of this equation represent how many tickets one type of ticket would have sold if the other type of ticket was not bought at all.

Step-by-step explanation:

So lets start with what we know

Adult tickets = $12

Children Ticket = $8

The theater collected $600.

So with this information, we can write down the equation

12x + 8y = 600

Note: x is the variable for the number of adult tickets and y is the variable for the number of children tickets

Find the amount of children tickets sold if 26 adult tickets were sold

So, this problem is trying to make us solve for y, if x = 26. Let's plug in the values and start solving for that value!

Solve for y                 if x = 26

12x + 8y = 600

12(26) + 8y = 600

312 + 8y = 600

-312          -312

         8y = 288

    8y / 8 = 288 / 8

            y = 36

So, we have our answer as y = 36.

Solution Statement:

If 26 adult tickets are sold, 36 children tickets must be sold if the total amount collected was $600.

The intercepts of this equation represent how many tickets one type of ticket would have sold if the other type of ticket was not bought at all.

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp

Answers

[tex]\frac{-6}{11} +(\frac{-3}{11} ) = \frac{-6 + (-3)}{11} = \frac{-9}{11}[/tex]

Hope that helps!

The table shows the number of points scored each game for 2 different basketball teams. Find the mean absolute deviation(M. A. D) for both teams.

Answers

Answer:

mean:

team 1: 41

team 2: 56

Step-by-step explanation:

add all numbers then divide by how many numbers

-34 + 91 = -3 (4x + 1) + 6x

Answers

[tex]-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\[/tex]

Thus x = -10.

Hope that helps!

X=-10
Look at the attached picture to see how to do it.

Help pleaseee.


Marla is getting ready to take her exam in 30 minutes. She is so tired, ready to pass out. What can Marla do in 30 minutes to stay awake?



Write your answer in full sentences. ​

Answers

Answer: Um in not quite sure, but ill try my best!

She should keep caffeinated, not with energy drinks but with coffee. Taking a shower always helps to refresh your mind and make your self feel clean. Also she should try to use bright lights or stare at devices, it is scientifically proven that devices keep your brain active. Also she should  try to  stay as UNCOMFORTABLE as possible, since being comfortable makes you sleepy.

Evaluate the expression below when n = 3:

5 + 2n∧2

Answers

Answer:

23

Step-by-step explanation:

First, substitute 3 in for n in the equation.


5 + 2(3)^2


Using PEMDAS, we can now solve the equation.


3^2 = 9


9 x 2 = 18


5 + 18 = 23


I hope this helps!

hey! This is due at like 11 pm!

Answers

Answer:

55.6 inches

Step-by-step explanation:

We use the Pythagorean Theorem in this question ~

[tex]a^{2} + b^{2} = c^{2}[/tex]

A = Height (What we are finding in the problem.)

B = Width (77 inches)

C = Diagonal (95 inches)

----------------------------------------------------------------------------------------------------------

a² + (77)² = (95)²

a² + 5929 = 9025

a² = 3096

a = [tex]\sqrt{3096}[/tex] = 55.641710...

Round to the nearest tenth ~

55.641710... ≈ 55.6 inches

If we use the Pythagorean theorem

a^2 + b^2 = c^2

Plug in the values given

77^2 + b^2 = 95^2

Now we have to change the equation to solves for b (the height)

77^2 - 95^2 = -b^2

Then we solve

5929 - 9025 = -b^2

(-3096 = -b^2)/-1

3096 = b^2

sqrt(3096) = sqrt(b^2)

55.6… = b

Lin asks Kiran how the diagrams with boxes help with factoring. What should Kiran tell Lin about the boxes?

Answers

Answer:

ig it helps you sort out the numbers and keep your work organized and not get numbers mixed

Step-by-step explanation:

can you mark as brainliest

Fill in the table. I will pick brainliest.

Answers

Answer:

Start: Brown feather % is  97% Grey feather % is 3%

End: Brown feather % is  19% Grey feather % is 81%

Step-by-step explanation:

Start:

There is 700 total feather (679+21) so to get to 100(the denominator for percentages) you have to divide by 7

divide each number by 7(679/7 and 21/7)

and you get 97 and 3 which will be your percentages

End:

There is 740 total feather (140+600) so to get to 100(the denominator for percentages) you have to divide by 7.4

divide each number by 7.7(140/7.4 and 600/7.4)

and you get about 19(rounded) and about 81(rounded) which will be your percentages

Hope this helps!!!

How do I tell if they are equivalent without a chart?

Answers

Multiply each fraction by each others denominator and see if they match.
For example for the first one ->
7/10 + 1/2 multiply the numerator and denominator of 1/2 by 10 (the bottom of the other fraction) and you get 10/20. The. The bottom of 1/2 is 2, so 2 times 7/10 is 14/20. So 14/20 + 10/20 is equal to the first one.

(GIVING BRAINLYIST) A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new meteor?




1 inch

one and one eighth inches

one and two eighths inches

one and three eighths inches

Answers

Answer:

one and three eighths inches

Request: Please mark me as the brainliest.

can someone help me understand

Answers

It is going to be the same answer but just on the other side on the bottom. Let me know if It is not And I will help you out more.

What is ⅗ + 2 + 1 ⅘ + 1 ⅗ = ?

Answers

Answer:

Answer is 6

Step-by-step explanation:

³/₅+2+1⁴/₅+1³/₅

change 1⁴/₅ and 1³/₅ to improper fraction to become ⁹/₅ and ⁸/₅ respectively

Also change 2 to a fraction to become²/₁

³/₅ + ²/₁ + ⁹/₅ + ⁸/₅ =

L.C.M is 5

Divide each value by 5 i.e ³/₅ + ²/₁ + ⁹/₅ +⁸/₅ =3 + 10 + 9 + 8

                                                                                    5

The answer you get is: ³⁰/₅ you divide to get 6

The answer is 6

A certain number was multiplied by 3. then, this product was divided by 3. Finally, 5 was subtracted from this quotient, resulting in a difference of -3. what was the number?
please show work and answer

Answers

Answer:

2

Step-by-step explanation:

2 x 3= 6

6 divided by 3 = 2

2 - 5 = -3 because it takes the sign of the larger number

Answer:

n = 2

Step-by-step explanation:

Rewrite the problem symbolically and then solve the resulting equation:

Let the unknown number be n.  Then:

3n

----- - 5 = - 3

 3

Simplifying, we get n = 2  (after having added 5 to both sides and completed the indicated division 3/3)

What is the area of a circle with a diameter of 2

Answers

Answer:

the area of a circle is always pi so 3.14159

Step-by-step explanation:

A bookstore sells 7 books for $59.50. Which table represents the relationship between number of books and the total price?​

Answers

Answer:

The answer is A

Step-by-step explanation:

The answer is A because if you divide 59.50/7 you would get 8.50, and 8.50 x 8 is 68! You can easily eliminate any other answer choices if the distance between the values is not equal!

Answer:

A is the correct answer.

Step-by-step explanation:

If you divide $59.50 by 7 you get 8.5. Which would be $8.50. You can then go through each table and multiply the cost of one book with how many books are being bought. So yeah. Hope this helps

The local school district has made a scale model of the campus of Engels Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 8 inches tall in the model. How tall is the actual gymnasium?

Answers

24 feet tall explanation:1-123-2-123-3-123-4-123-5-123-6-123-7-123-8-123
24 feet
3x8= 24 also can do 3+3+3+3+3+3+3+3=24

What is the slope of the line passing through (2, -3) and (4, 3)

Answers

Answer:

The length of the distance through them is 6 blocks, and the slope is 2 blocks.

Step-by-step explanation:

da picture!

Gratitude attitude - THANKS!

Answer:

Use this rule for finding slope;

M(slope)= y2-y1 / x2-x1

No matter which points you put in numberings, it means you can use either (-3 or 3) as y1, but the other must be y2.

Choose the set of numbers with an average of 7.

A) 3, 5, 7, 8, 12

B) 2, 3, 6, 13, 16

C) 2, 4, 8, 11, 20

Answers

Answer:

A

Step-by-step explanation:

3 + 5 + 7 + 8 + 12 = 35

35/5 = 7

Answer:

A) 3, 5, 7, 8, 12

Step-by-step explanation:

1) Add all the numbers together (35)

2) divide the sum by the number of numbers added (35/5)

30 35/5=7

The graph of △LMN has coordinates L(5, 3) , M(2, −3) , and N(1, 2) .
please show the graph too
l( , )
m( , )
n( , )

Answers

Answer:

The answer is below.

Step-by-step explanation:

On the line with the X-axis, in this case the horizontal line, is the first number it wants you to plot when it gives you the coordinates. On the line with the Y-axis, in this case the vertical line, is the second number it wants you to plot when it gives you the coordinates. Hope this helps!

Decompose the fraction into the sum of its unit fractions. (3 points)

seven tenths
a
one tenth plus one tenth plus one tenth
b one tenth plus one tenth plus one tenth plus one tenth plus one tenth
c one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth
d one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth

Answers


Answer:En general, cualquier fracción unitaria se puede descomponer en la suma de dos fracciones unitarias distintas de la siguiente manera: por ejemplo 1/2 = 1/3 + 1/6, o 1/3 = 1/4 + 1/12. Sin embargo, esta descomposición no siempre es única. Por ejemplo 1/4 = 1/6+1/12 = 1/5+1/20

Step-by-step explanation:

Please help me out with this, i'm about to get grounded bc of this...

Answers

Answer:

college b spends more time running

Step-by-step explanation:

um i just multiplied upward then added across the board

A=40

B=72

Katie wants tp buy a bicycle sost $129. This is $24 more than 3 times what she she saved last month. How much did she saved last month?
s= the ammount she saved last month
* show all your step

Answers

Answer:

She saved $35 dollars last month.

Step-by-step explanation:

129-24=105=3s

105/3=s=35

She saved $35 dollars last month.

Answer:x=51

Step-by-step explanation:this:129=3x-24+24. +24------------------153=3x--3.       3------------x=51

Finding missing sides of quadrilaterals and triangles.

Answers

Answer:

AD:WZ Ratio, 15:6 or 5/3

WX is equal to 10, use proportions and cross multiply

LN is equal to 30

UV is equal to 18

Step-by-step explanation:

What is the best name to describe an object that has four right angles, the opposite sides are parallel, and it has four equal sides?

Answers

Answer: I'd say a square

Step-by-step explanation: a square has 4 right angles that are all equal.

Answer:

☆ Rectangle

Step-by-step explanation:

2 pairs of parallel sides

4 right angles (90°)

Opposite sides are parallel and congruent

All angles are congruent

Why does the sum of -4 and 3 complain more than the sum of -3 and 5?

(Before you answer this please note that this is a joke! The answer would be
"It's the _ _ _ _ _ _ _ _ _ _ _!" The 11 missing letters include -EIENGEOVANT-

Thank you in advance for your help! ♡

Answers

Answer:

Negative

Step-by-step explanation:

-4 + 3 = -1

-3 + 5 = 2

if you scramble the leters, you get negative, and -1 is a negative number

How many times greater is one gallon than one quart. PLS MY BRAIN IS ABOUT TO EXPLODE IM TO TIRED FOR PRACTICE.

Answers

a gallon is 4 times greater than a quart

Answer:

Step-by-step explanation:

1 gallon equals 4 quarts

So 1 gallon is 4 times one quart

Hope that helps and take a look at the diagram I attached to help you memorize it!

(Please help)
In this polygon, all angles are right angles. What is the area of the polygon? Show your work.

Answers

Answer: 1044cm

Step by Step Explanation :

separate the shape into a rectangle and a square. Subtract 46 from 21the rectangular shape is 30cm by 25cm LxW its 750cmthe smaller shape on the side is 21 cm by 14cm LxW its 294.Add. 294cm + 750cm = 1044cm

Can someone help me on this math question?

Answers

Answer:

V=whl=7·5·8=280

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.

88 was divided by a particular number, then 7 was taken from the quotient. afterwards, this difference was multiplied by 4. giving a product of -60. find the particular number.
please show work and answer.

Answers

Answer:

The particular number would be -704

Step-by-step explanation:

Take the particular number as x

x ÷ 88 - 7 x 4 = (-60)x ÷ 88 - 7 = (-60) ÷ 4x ÷ 88 - 7 = (-15)x ÷ 88 = (-15) + 7x ÷ 88 = (-8)x = (-8) x 88x = (-704)

If represented in a stem-and-leaf plot, what would be the stem of the number 1457?

1
14
145

Please answer fast I will give brainliest

Answers

Answer: The stem would be 145 while the leaf is 7.

Step-by-step explanation: Stem and leaf plots organize statistical date and use one digit as a leaf and the rest of the digits as the stem.

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