ok, A movie theater has a seating capacity of 277. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales were $ 2002, How many children, students, and adults attended?
__ children attended.
__ students attended.
__ adults attended. brainliest for it

Answers

Answer 1

Using a system of equations, it is found that:

126 children attended.88 students attended.63 adults attended.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of children that attended.Variable y: Number of students that attended.Variable z: Number of adults that attended.

The theater was full, hence:

x + y + z = 277.

There are half as many adults as there are children, hence:

x = 2z.

The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. The total ticket sales were of $2002, hence:

5x + 7y + 12z = 2002.

Replacing the second equation into the other two:

y + 3z = 277 -> y = 277 - 3z

7y + 22z = 2002.

Then:

7(277 - 3z) + 22z = 2002

z = 63

y = 277 - 3z = 277 - 3 x 63 = 88

x = 2z = 2 x 63 = 126.

Hence:

126 children attended.88 students attended.63 adults attended.

More can be learned about a system of equations at https://brainly.com/question/24342899


Related Questions

80 PTS!!Two vertices of a right triangle have coordinates (6,-2) and (1,6).

Select EACH ordered pair that could be the coordinates of the third vertex.

[](1,1)
[](6,6)
[](-2,1)
[](1,-2)

Answers

Answer:

(6, 6) and (1, -2)

Step-by-step explanation:

Let the given points represent the vertices of the hypotenuse.

Then the parallel lines to each coordinate axis will have intersection at other vertices.

The vertices will be the combination of (x₁, y₂) or  (x₂, y₁) of the given ordered pairs:

(6, 6) and (1, -2)

See the attached to be more clear.

Describe fully the single transformation that takes shape P to shape Q

I cant get the last mark

Answers

Answer:

  dilation by a factor of 3 about (1, 0)

Step-by-step explanation:

You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.

__

An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.

The single transformation is ...

  dilation by a factor of 3 about the point (1, 0).

__

Additional comment

You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.

Nate is 10 9/12 years old.How old will he be in 2 5/12 more years?

Answers

Answer:

13 1/6 years old

Step-by-step explanation:

10 9/12 + 2 5/12 = 12 14/12 simplifies to 13 2/12 or 13 1/6

BRAINLIEST AND 50 POINTS FOR WHOEVER ANSWERS FIRST

Answers

Answer:

7

Step-by-step explanation:

There are seven t's that equal 49. So do 49 divided by 7. Therefore, t = 7.

Hi!

In the picture, we can see that 7 of the t's are equal to 49. We can set this up using an equation:

[tex]7t=49[/tex]

Now, in order to solve for t, we must divide both sides by 7 to isolate the variable on one side of the equal sign:

[tex]\cfrac{7t}{7} =\cfrac{49}{7}[/tex]

Simplify:

[tex]t=7[/tex]

Therefore, t = 7 makes the equation true.

We can also check our work. On the scale, 7 t's are equal to 49, remember? So if there are 7 t's, and each t is equal to 7, we do 7 * 7 which is equal to 49.

49=49  ✔️

Please help me thank you!!!!!!!!!!!!!!!!!

Answers

Probably the answer:

Probably A. but I didn't read it and I just wanted to say this...

Classify the triangle by its sides and angles

5.5in
5.5in
1.5in

Answers

Answer:

That would be an isosceles triangle.

Step-by-step explanation:

Isosceles triangles have two sides the same length and one side a different length. I hope this helps! :)

Answer:

Isosceles Triangle

Step-by-step explanation:

A triangle having two sides of equal length is an isosceles triangle.

It's two sides are equal which are 5.5 in , 5.5 in and the third one is not equal 1.5 in

please help me with the question​

Answers

Answer:

A

Step-by-step explanation:

If you plug in the x and y into both of those equations, you can see that only A would make the equation true.

Hope This Helps! :) Please mark as brainliest if you can!

Answer:

The answer should be;
A: (0,2)

Step-by-step explanation:

When graphing out the formulas and shading them accordingly, you can see which of those points fall into the double shaded areas.  (4,5) falls into an area that isn't shaded at all, which (2,-1) falls into an area where it is only shaded by one layer.  I have graphed this out for you so hopefully you understand :)

A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let x represent the time in hours.


Part A: What is the initial number of bacteria in each petri dish? Explain your answer.

Part B: What is the decay rate for each antibiotic? Explain your answer.

Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.

Answers

Answer:

0.37 billion

Step-by-step explanation:

.

What is the area of the tennis court?

Answers

Answer:

Length of Service box: 21ft /6.4m . Width of service box:13.5ft/4.1m I

What is the value of
5+5+6+6+7+7+8+8= *2

Answers

Answer:

108

Step-by-step explanation:

Answer:

52 or 104

Step-by-step explanation:

Anyone can answer this ?

Answers

Answer:

NOT nets = A, C, D, F
Nets = B, E, G, H

Figure B (Triangular prism)

SA: 3 rectangles + 2 triangles

Rectangles: (20·8) + (20·10) + (20·6) = 480 ft²

Triangles: (8·6)/2 + (8·6)/2 = 48 ft²

Total SA: 528 ft²

Figure E (Square pyramid)

SA: 1 square + 4 triangles

Square: 10·10 = 100 yd²
Triangles: (12·10)/2 + (12·10)/2 + (12·10)/2 + (12·10)/2 = 240 yd²

Total SA: 340 yd²

Figure G (Rectangular prism)

SA = 2 wide rectangles + 4 narrow rectangles

Wide: (7·11) + (7·11) = 154 cm²

Narrow: (2·7) + (2·7) + (11·3) + (11·3) = 94 cm²

Total SA: 248 cm²

Figure H (Cube)

SA = 6 squares

Squares: 6 x (1·1) = 6 m²

Total SA: 6 m²

I hope this helps and God bless!

Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?

A. All the boys in the cafeteria

B. All the students on his soccer team

C. Every 5th person entering the school

D. Every 5th person entering Daniella's Pizzeria​

Answers

C, every 5th student entering the school.

This would provide the least biased answer by the chances, it would not be skewed as my boy Gabe is asking random people that are spread out rather than simply everyone on his soccer team (if there is a connection between enjoying pizza and playing soccer) or asking everyone in the cafeteria, as similar people may sit together. It’s all in the chances.

Question:

Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?

Answer:

C. Every 5th person entering the school.

Step-by-step explanation:

A. All the boys in the cafeteria. This is incorrect because they would only add up to 1. The boys. And 2. Only the boys inside of the cafeteria. So that not even counting the ones that are still in the classrooms or in the bathrooms. so therefore A is incorrect.

B. All the students on his soccer team. This would not add up to much because lets say there are 10 players on his soccer team and over 100 people in his school, that would only make up 10% of his whole school, so obviously, B. Is also incorrect.

D. Every 5th person entering Daniella's Pizzeria. This is incorrect also because Gabriel wants to know which pizzeria is most popular in his school, this answer does not say anything about his school, it only says which pizzeria and how many people. In answer D. It says Every 5th person entering Daniella's Pizzeria. This answer already says which pizzeria he would be going to so that part is already proof that D is incorrect.

C. Every 5th person entering the school. This is correct beause it explains how he would be asking every 5th person entering the school. So lets say most of the people he tallied likes Daniella's Pizzeria the most. There would be a tally poll that I have shown in the picture. (Sorry that its messy I did that on mouse.) and as you see in green it says that more people like Daniella's Pizzeria more than any others. So now Gabriel has his results, so now he knows which pizzeria to go to.

Link for whiteboard from picture: witeboard.com

Is 28110 divisible by 10?

Answers

Answer:

yes

Step-by-step explanation:

Distinct Factors of 28110 = 1, 2, 3, 5, 6, 10, 15, 30, 937, 1874, 2811, 4685, 5622, 9370, 14055, 28110

Yes it is and the answer would be 2811

Sammy has a bag with 3 white marbles, 4 yellow

marbles, and 5 green marbles. What is the

probability of drawing a white marble followed

by a yellow marble, without replacing the white

marble?

HELP LOVE

Answers

The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091

How to determine the probability?

The distribution of the marbles is given as:

White = 3

Yellow = 4

Green = 5

Total = 12

The probability of selecting a white marble is:

P(White) = 3/12

Now, there are 11 marbles left.

The probability of selecting a yellow marble is:

P(Yellow) = 4/11

The required probability is:

P = 3/12 * 4/11

Evaluate

P = 0.091

Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Can you pls help me

Answers

I answered the last post, the third option is correct

table of value for y=2x^2+x

Answers

Answer:

values of x and y is (4, -2), (0, 0) and (2, 10)

Step-by-step explanation:

[tex] - 5 = > 45 \\ - 4 = > 28 \\ - 3 = > 15 \\ - 2 = > 6 \\ - 1 = > 1 \\ 0 = > 0 \\ 1 = > 3 \\ 2 = > 10 \\ 3 = > 21[/tex]

The smaller of two regular hexagons has a perimeter of 15 m and an area of 36 m². The area of the
larger is 100 m². What is the perimeter of the larger hexagon?

Answers

Answer:

40

Step-by-step explanation:

To find the perimeter of the hexagon, we multiply the square root of the area by 4.

The square root of 100 is 10.

10x4=40

I need answer please ​

Answers

Answer:

A.

Step-by-step explanation:

RST is in the wrong position for it to be congruent.

What is a trinomial in math

Answers

Answer:

an elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.

Step-by-step explanation:

A trinomial is an algebraic expression with three terms

PLA
HELP I NEES TO LEAVE SOON<3
If x= 4.5 and y = 2x + 1, then y equals what number

I will rate and mark as brainest

Answers

Answer:

10

Step-by-step explanation:

1. 2(4.5)+1

2. 9+1

3. 10

i don’t know how to do this, anyone know how. please help

Answers

Answer:

Step-by-step explanation:

Adam makes $632 gross income per week and has claimed four allowances. according to the table below, what is adam’s net income after tax withholding? for weekly income between 630 and 640 dollars and claiming 4 allowances, the weekly withholding is 99 dollars. a. $99 b. $533 c. $731 d. $502

Answers

Adam's net income after a tax withholding will be 533 dollars. Then the correct option is B.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Adam makes $632 gross income per week and has claimed four allowances.

The weekly withholding is 99 dollars.

Adam's net income after a tax withholding will be

⇒ $632 - $99

⇒ $533

More about the subtraction link is given below.

https://brainly.com/question/4319655

solve for x - 10 = x-7 / 3

Answers

Answer: 23/2 or 11.5

Step-by-step explanation:

x - 10 = (x - 7) / 3

3 (x - 10) = x - 7

3x - 30 = x - 7

3x - x = 30 - 7

2x = 23

x = 23/2 answer...

change it into decimal form

x = 11.5 answer...

note: 23/2 or 11.5 both could be the answers

hope that helps...

Answer:

x = 23/2 or 11.5

Step-by-step explanation:

Step 1: Multiply both sides by 3.

[tex]3(x-10)= \frac{x-7}{3} *3[/tex][tex]3x - 30 = x - 7[/tex]  

Step 2: Subtract x from both sides.

[tex]3x-30-x=x-7-x[/tex] [tex]2x-30=-7[/tex]

Step 3: Add 30 to both sides.

[tex]2x-30+30=-7+30[/tex] [tex]2x=23[/tex]

Step 4: Divide both sides by 2.

[tex]2x/2 = 23/2[/tex] [tex]x = 23/2 = 11.5[/tex]

Therefore, x = 23/2 or 11.5.

if t(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)

Answers

Step-by-step explanation:

I'll assume you meant f(x) = 3 - 2x and not t(x) = 3 - 2x

[tex] \frac{3 - 2x}{ \frac{1}{x + 5} } \times 8[/tex]

[tex]((3 - 2x) \times ( \frac{x + 5}{1} )) \times 8[/tex]

[tex]((3 - 2x)(x + 5)) \times 8[/tex]

[tex]( - 2 {x}^{2} - 7x + 15) \times 8[/tex]

[tex]( \frac{f}{g}) \times 8 = - 16 {x}^{2} - 56x + 120[/tex]

a regular hexagon prism has a volume of of 2546.13cm³ and the base has an edge length of 14cm. what are the height and surface area of the prism?

Answers

Answer:

Solution is attached :)

If x is an even integer greater than 3, then, in terms of
what is the next greatest even integer?

A. X^2
B. 2x
C. X+3
D. X+2

Answers

Answer:

x^2

Step-by-step explanation:

Any even number raised to two is even.

Eg: 4^2 = 16

12^2 = 144

Etc...

And

Any odd number raised to two is odd.

Eg: 5^2 = 25

13^2 = 169

Etc...

And also x^2 is greater than 2x & x+3 & x+2

Line p goes through the origin and contains the point (-2,-5). Which
equation represents line p?

Answers

[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{0}}}\implies \cfrac{-5}{-2}\implies \cfrac{5}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{5}{2}x[/tex]

Can someone please help me with this ty!!

Answers

Represents, it has an exponent and multiple terms

What is the equation to find the Surface Area for a Cone?

Answers

Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

literally just search it up

The answer to your question is: A=πr(r+h2+r2)

12 pennies 9 nickels 23 dimes and 16 quarters

Answers

Answer:$6.87

Step-by-step explanation:

if you add them up you end up wit $6.87

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