One evening, 1255 people went to the movies to see Gone with the wind. The box office receipts totaled to 12,295. The price of admission for adults is $10.00 and for children, it is $7.00. Write an equation for how many people went to see the movie. Write an equation for the amount of money made at the box office. How many of each type of ticket did they sell (adult and children)?

Answers

Answer 1

Answer:

Number of adult tickets sold = 1170

Number of children tickets sold = 85

Step-by-step explanation:

Let,

x be the number of adult tickets sold

y be the number of child tickets sold

According to given statement;

x+y = 1255      Eqn 1

10x+7y=12295    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=1255)

10x+10y=12550      Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(10x+7y) = 12550 - 12295

10x+10y-10x-7y= 255

3y = 255

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{255}{3}\\y=85[/tex]

Putting y=85 in Eqn 1

x+85 = 1255

x = 1255-85

x = 1170

Hence,

Number of adult tickets sold = 1170

Number of children tickets sold = 85


Related Questions

A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people,
36 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
% of the people had a mild allergic reaction,

Answers

Answer:

0.6% of the people had a mild allergic reaction.

Step-by-step explanation:

Given that:

Number of people who tried hair care products = 6000

Number of people who had reaction = 36

Percent of people = [tex]\frac{Number\ of\ people\ with\ reactions}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{36}{6000}*100[/tex]

Percent of people = 0.6%

Hence,

0.6% of the people had a mild allergic reaction.

HELP ME PLEASE FAST. Which description best compares the graphs of these two functions?

Answers

Functions A and B have the same y- intercept

Answer:

what #1 said

Step-by-step explanation:

Solve for y: 3(4y – D = 2(5y + ż).
The solution is y =
The solution is

Answers

Answer:

12y-10y=2z-2D

2y=2z-3D

Divide both sides by 2

Y=z-3D

Absolutely

b - 13=3
Help pls
Thanks

Answers

13-3=10 b=10 there ya goo:)

Plz help I don’t understand how to find x?

Answers

Answer:

x = -4

Step-by-step explanation:

First lets add 82 + 55 which equals 137, then 137 +47 which equals 184

Now we know that a triangle equals 180 degrees (cannot go over 180), so this tells us x is a negitive number.

-x + 184 = 180

-x = -4

Another way to look at it is; 184 minus what equals 180? 4 does, so it translates into -4.

X = - 4



Hope this helps

please HELP!!??!????!!!!

Answers

evidence, claim, commentary
The first is claim the second is evidence and third is commentary sorry if I’m wrong but mark BRANLIEST if correct

I need help with this problem!

Answers

Answer:

104

Step-by-step explanation:

100%= 1.00

so

420%= 4.20

Multiply 4.20×20

84

now add the original 20

104. She has 104 boxes in total.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

104

Step-by-step explanation:

20 + (20*4) + (20*0.2)

= 20 + 80 + 4

= 104

Express (x + 10)^2 as a trinomial in standard form.

Answers

Answer:

x2-20x+100

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get  , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together:  . Then combine like terms

The required trinomial in standard form is x²+20x+100.

Trinomial:

Important information:

The expression is the [tex](x+10)^2[/tex].

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]

[tex](x+10)^2=x^2+20x+100[/tex]

Therefore, the required trinomial in standard form is x²+20x+100.

Find out more about 'Trinomial' here:

https://brainly.com/question/860565

5.6.AP-1
Solve the inequality.
3 + 4x> 27

Answers

Answer:

The answer is X>6

if you click the image it will show the steps to solving the inequality. hope this helps.

Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?

Answers

Answer:

480

Step-by-step explanation:

12*4=48 then add a zero to the end of it

hope that helps!

happy new year!

Answer:

Lance has 480 comic books.

Step-by-step explanation:

Multiply 12 by 40:)

Please help I know it isn't 12 so please don't answer with 12.

Answers

I see do picture so unfortunately I cannot help you

Why might Phillis's poetry and the publication of her book have been thought of as especially impressive and unusual?

Answers

Answer:

isnt this a

Step-by-step explanation:

english question

Jackets cost $15 and a set of decorative buttons cost $5. The delivery fee is $5 per order. The expression 15n+5n+5 gives the cost, in dollars, of buying jackets with buttons for n people. Write this expression after combining like terms. *

Answers

Answer: 20n + 5

Step-by-step explanation:

From the question, we are told that jackets cost $15 and a set of decorative buttons cost $5 and that the delivery fee is $5 per order.

The expression 15n+5n+5 gives the cost, of buying jackets with buttons for n people. The expression after combining like terms would be:

= 15n + 5n + 5

= 20n + 5


Sara wants to save 20% of the $150 she received for her birthday. How much money does Sara want to save?

Answers

Answer:

$30

Step-by-step explanation:

10 % of 150 is 15

20% is 30

hope this helps...

Answer:

30$

Step-by-step explanation:

To find 20% of 150$ you have to first make 20% a decimal and then multiply by 150$.

To do this:

150 (0.2) = 30

what is the HCF of 60 and 96?​

Answers

Hey there!

[tex]\bold{Highest\ Common\ Factor\ \ HCF\ of\ 60\ \& \ 96 }[/tex]

[tex]\bold{Finding\ your\ Prime\ Factorization \ in\ your\ given\ numbers!}[/tex]

[tex]\bold{60:2\times2\times3\times5}[/tex]

[tex]\bold{96:2\times2\times2\times2\times2\times3}[/tex]

[tex]\bold{Your\ Greatest\ Common\ Factor(GCF): 2\times2\times3}[/tex]

[tex]\bold{2\times2\times3}\\ \bold{2\times2=4}\\ \bold{4\times3=12}[/tex]

[tex]\boxed{\boxed{\bold{Answer: HCF \rightarrow \bold{\underline{12}}}}}\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{LoveYourselfFirst:)}[/tex]

The graph of a line on a coordinate plane has a slope of 1/2 and passes through the point (4, -3). Which equation describes the line?

Answers

Answer:

[tex]\boxed {\boxed {\sf y= \frac{1}{2}x-5 }}[/tex]

Step-by-step explanation:

Since we are given a point and a slope, we should use the point-slope equation.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is the point the line passes through.

We are given the slope of 1/2 and the point (4, -3). Therefore:

[tex]m= \frac{1}{2} \\x_1= 4\\y_1= -3[/tex]

Substitute the values into the formula.

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

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

Distribute the 1/2. Multiply each term inside the parentheses by 1/2.

[tex]y+3= \frac{1}{2} *x + \frac{1}{2} * -4[/tex]

[tex]y+3=\frac{1}{2}x-2[/tex]

We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.

[tex]y+3-3=\frac{1}{2}x-2-3[/tex]

[tex]y=\frac{1}{2}x-2-3\\y= \frac{1}{2}x-5[/tex]

The equation of the line is y=1/2x-5

Are the triangles congruent?
SAS
SSS
ASA
HL
AAS
NOT CONGRUENT

Answers

Answer:

They are SAS congruent.

Step-by-step explanation:

When solving an equation, henry...

Answers

Answer:

Infinite Solution

Step-by-step explanation:

We know that there are no variables on either die of the equation so the answer would be infinite because when you put a number for the variable it will always be true.

Hope this helps :)

Interest can be the money paid by a bank to a consumer as compensation for keeping their money in that bank. Interest can also be the money paid to a bank for the use of their money.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't really say what you want but the above statement is true.

Interest can be the money paid by a bank to a consumer as compensation for keeping their money in that bank. This is because when an individual or a company keeps some amount of money with a bank, an interest is paid on that money and the longer the time duration, the higher the interest paid.

Also, Interest can also be the money paid to a bank for the use of their money. When someone goes to the bank to collect a loan, the bank charges an interest on that amount borrowed. For example, if one borrows $10,000, an interest of let's say 8% may be charged for a 2 years loan. Therefore, the interest would be:

= $10000 × 8% × 2

= $1600.

PLEASE HELP QUICK!!!!! FIND THD SLOPE

Answers

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Does anyone know this answer?

Answers

Answer: 16°

a rectangle has 4 90° angles

90-74 = 16°

Use the second list of random numbers to again calculate the experimental probability of a group having at least three
girls. The results using the second list are
____
10%
____
the results using the first list.

Answers

sorry if im too late but the answer is, -

The results using the second list are

less than

10%

lower than

the results using the first list.

PLZ GIVE BRAINLIEST <3

I know that this is a lot but I’m in desperate need of help!! Thank you

Answers

Answer:

1) 12 x 6 x 3 = 216

2)10 x 10 x 4 = 400

3) 11 x 8 x 8 = 704

4) 4 x 1 x 3 / 2

i gave you the answers for the first 4 ,

i think you can do the rest

Step-by-step explanation:    

volume = base x length x width

what are the names of these polynomials?:
5x2−2x+3
7a3+4a−12
−15
12x2+5
3x+8

Answers

Answer:

1. Trinomial 2. Trinomial 3. Monomial 4. Binomial 5. Binomial

Step-by-step explanation:

The numbers with variables attached are called terms, and how many there are defines the equation. It doesn't matter how many variables or exponents are attached, there could be none or 15 each to the power of 6 but it's still one term. "Mono" means one, so there's only one term, "Bi" means two, so there are two terms, and "Tri" means three, so there are three terms. "Poly" applies to everything above three, though unused words for the bigger terms do exist.

please help meeee you see my dog took my calculator so now i don't know where it is

Answers

The answer is96.60254

Which function has a range of y20?
ty
Time
(hours)
1
Temp.
(°F)
-8
2
{(5,0).
(-3,4).
(0,7).
(11,-6)
2
3
-2
O
-4-2
2
-2
2
5
5
No
-2
7
10

Answers

Answer:

t218

Step-by-step explanation:

How many solutions does this system of equations have? y=3x+1 y=3x+7

Answers

Answer:

The following system of equation has no solution.

Step-by-step explanation:

since both of them are equal to y, set them equal to each other:

3x+1=3x+7

if you subtract both sides by 3x, you get 1=7. That is a contradiction, so this has no solutions.

This equation has no solution.

What is the inconsistent system?

An inconsistent system is a system that has no solution in any case scenario.

Given this system of equations y=3x+1,  y=3x+7.

on comparing both equations multiples of x and y are equal therefore, there will be no solution for a given equation.

Learn more about the inconsistent systems here:

https://brainly.com/question/28810468

#SPJ2

Please help me and it is not 12.
Value of

Answers

Would it be 18 if it’s not 12? I’m sorry i don’t know but i’m trying to help as much as possible

Answer:

Its 12

The correct answer is 12

the other angle also has to be 6x

6x+6x+3x=180

15x=180

x=12

Hope This Helps!!!

Determine the value of x

Answers

Answer:

x=8

Step-by-step explanation:

Because I have big brains.

please help me please will give brainliest


show all your work thank you ​

Answers

Answer:

Perimeter: 52 Area: 181-16i?

Step-by-step explanation:

Perimeter

The formula for perimeter is 2l+2w, so you plug in the binomials they give you:

2(11-4i)+2(15+4i)

expand:

22-8i+30+8i

combine like terms (which cancels out 8i and -8i):

22+30=52

Area

"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.

Here's what I did to get 181-16i, in any case:

The formula for area is l*w, so I plugged in the numbers:

(11-4i)(15+4i)

expanded:

165+44i-60i-16i*i

and combined like terms:

181-16i

*i is [tex]\sqrt{-1}[/tex], so [tex]i^{2}[/tex]=-1 and -1*-16=16.

Other Questions
Which of the following best represents a protection guaranteed under the First Amendment?A. probable cause needed to obtain a search warrant B. Excessive bail and fines cannot be imposed C. Right to trail by jury in civil casesD. Freedom of choice regarding religious membership help please (it has to be 20 more characters ignore) Plz help!Which of these are features of gothic literature? Check all that apply.unexplained eventsupbeat, happy endingsfear and horrorlack of emotionmystery and suspensesupernatural elements HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!! Move each number to the correct place on the number line. Then, move the correct symbol to the comparison. Answer choices:-1.5-3/4> 2/3x+1=1/6x-7 What the answer solve for 15 points !! Mike paid $32 for a sult Jacket that had been marked down 40% from its original price, What was the original price. Originally, why did Congress not want to admit Missouri to the Union after Alabama became a state? The Institute of Medicine (IOM) issued a report concluding that computer-based patient records are an essential technology for healthcareQuestion 1 options: True False Read "Once I Saw the Mountains Angry," by Stephen Crane.Once I saw mountains angry,And ranged in battle-front.Against them stood a little man;Aye, he was no bigger than my finger.I laughed, and spoke to one near me,"Will he prevail?""Surely," replied this other;"His grandfathers beat them many times."Then did I see much virtue in grandfathersAt least, for the little manWho stood against the mountains.Which best describes the theme of this poem?People are more powerful than elements of nature.People can find strength by understanding past generations.People are arrogant in their belief that they are stronger than nature.People who are resilient are able to act courageously. Please help I will give a Brainliest Need a pantoum poem for english. create a poem that has 6 original lines, and some of these lines repeat. need to be three verses too. Although crude and initial establishment the blank later became a model for social welfare programs -A.public hospital B.poor laws of 16 C.charity organization society D American counseling association What is the solution to this equation?X/5 = 25A. x = 20B. x= 125C. x = 5D. x= 30 What are the solutions to the absolute value inequality |x 70| 3?Remember, the inequality can be written as 3 x 70 3or as x 70 3 and x 70 3. what body of water that is formed by the ocean cutting to land called when f(n) =12, what is rhe value of n What is (9) 7 written in expanded form?pls hurry Abby is trying to pay off her debt. She owes $422 to her bank. In may she paid $76, but had to borrow an additional $135. In June she paid $45 and borrowed $110. The bank also charged her $58 in interest. How much did she owe at the end of June.Extra points could someone please tell me or explain how to solve these types of equations?? you dont have to do these problems specifically, but just tell me how to do italso sorry for the bad quality,,,