Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.

Answers

Answer 1

Answer:

74 adult tickets and 106 children tickets

Step-by-step explanation:

let x be the number of adults tickets sold out

and y the number of chlidrens tickets that sold out for the 7:15 pm show

The equations that determine our problem are

x+y=180

12.50x+8.50y=1826

lets separate x from first equation x=180-y and replace at the second equation

12.50(180-y)+8.50y=1826

12.50*180-12.50y+8.50y=1826

2250-4y=1826

4y=2250-1826

y=424/4=106

so x=180-y=180-106=74


Related Questions

Use substitution to solve the system.
x = 3y +7
3x + 4y = 8

Answers

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

What is the rate of change (slope) of the function y = −7x?

Answers

The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.

-7

Mrs. Ryan’s making lemonade she has 3/4 gal of water she uses 1/6 to make lemonade how many whole glass can she make

Answers

Answer: 2

Step-by-step explanation: She have to keep change flip

D is between C and E. CE = 6x, CD = 4x + 8, and DE = 28. Find CE.
Please Answer ASAP!!!
(BTW it's high school geometry)

Answers

the answer is 48 bc 4x+8+28=6x then simplify to get 4x+36=6x subtract 4x to get 2x=36 divide by two to get x=18 6x8=48

Answer:

CE=108

Step-by-step explanation:

*I don't have my phone with me so I can't add a picture of what I drew*

First, draw a line. On one end, write C. On the other end, write E. In the middle of them, write D. The question states that CE=6x, so on the bottom of the line, write 6x. On top on the first half write 4x+8 (between C and D). On the other half between D and E write 28.

According the the information we have been given and the diagram we made, CD+DE=CE. Hence, (4x+8)+28=6x

(4x+8)+28=6x (subtract four from both sides)

8+28=6x-4x (combine like terms)

36=2x (divide two from both sides)

x=18

Now, substitute 18 for x in 6x (CE=6x)

CE=6(18)

CE=108

I hope this helped :DD

Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table below. Should Stefan
rent a phone accessory store? Explain.

Answers

Answer/Step-by-step explanation:

If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.

Total income estimated in a month:

Sales: $950 per week = 950*4weeks = $3,800 per month

Services: $2,875 per month

Total estimated income per month = $(3,800 + 2,875) = $6,675

Total expenses estimated in a month:

Rent: $4,500 per month

Travel: $7.5 per day = 7.5*7days = $52.5 per week.

Assuming there are 4 weeks in a month, expenses for travel in a month will be:

$52.5*4 = $210

Merchandise: $1,650 per month

Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360

Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.

One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472​

Answers

Given:

Original cost of car = $21000

Rate of depreciation = 15% = 0.15

Time = 5 years

To find:

The value of car after 5 years.

Solution:

Consider the model for car depreciation is

[tex]V=C(1-r)^t[/tex]

where,  C is the original cost, V is the value of the car after t years, and r is the rate  of depreciation.

Substitute C=21000, r=0.15 and t=5 in the above model.

[tex]V=21000(1-0.15)^5[/tex]

[tex]V=21000(0.85)^5[/tex]

[tex]V=21000(0.4437)[/tex]

[tex]V=9317.7[/tex]

[tex]V\approx 9318[/tex]

The value of car after 5 years is $9318. Therefore, the correct option is C.

-2.5 (4x-3)
combine like terms to create and equivalent expression

Answers

the answer for this is 4x+7.5

Answer:

-10x+7.5

Step-by-step explanation:

What is the answer to

0.04 is 1/10 of _____

Answers

Answer:

.4

Step-by-step explanation:

Answer:

.0003, .04, .02, 2 4

Step-by-step explanation:

hope it helps


a. How did you find each square root?​

Answers

Answer:

by multiplying the same number twice

Step-by-step explanation:

example :

1 × 1 = 1

2×2 = 4

3×3 = 9

and so on....

Convert 0.0002 ug to mg:
Please help

Answers

1 ug = 0,001 mg

0,0002 ug= x

x= (0,0002×0,001)/1

x= 2e-7

find the perimeter ​

Answers

Answer:

it is 32

Step-by-step explanation:

15 divided by 3 is 5 and if you are trying to find the second triangles sides you would subtract 5 from 12 to get 5 and 2. then you would multiply all the sides by 3 and add them together to get 32.

Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67

Answers

It’s answer choice D! have a nice day!

I truly don’t understand how I got this wrong

Answers

Answer:

m= -1

Step-by-step explanation:

A graph that is y=x or y = -x should be easy to spot, but (0,2) and (2,0) make a -x line.

Is that on IXL website? If so I could help you out

Which shows a difference of squares?

10 y squared minus 4 x squared
16 y squared minus x squared
8 x squared minus 40 x + 25
64 x squared minus 48 x + 9

Answers

Answer:

8x^2 - 40x + 25

Step-by-step explanation:

The terms that show a difference of squares are given by:

10y² - 4x²

16y² - x²

What is a difference of squares?

It is when the square of two terms are subtracted, in the following format:

[tex]a^2 - b^2[/tex]

In this problem, the first two items are difference of squares, as:

[tex]10y^2 - 4x^2 = (\sqrt{10}y)^2 - (2x)^2[/tex]

[tex]16y^2 - x^2 = (4y)^2 - x^2[/tex]

More can be learned about difference of squares at https://brainly.com/question/24673551

What is the slope of the line represented by the points in the table?

Answers

Answer:

.05

Step-by-step explanation:

what is the quotient of 3/5 and 2/3

Answers

Answer:

The quotient of 3/5 and 2/3 is 9/10

Explanation:

3/5 divided by 2/3 is 9/10

Or a easier way to divide fractions is this way:

3/5 divided by 2/3 = ?

Flip the second fraction (from 2/3 to 3/2)

And then multiply:

3/5 x 3/2 = 9/10

(Simplify if needed but in this problem there is no need to simplify)

what is the cost price of an article which when sold at Rs 10260 gives a profit of 20%?

Answers

Answer:

8208 Rs

Step-by-step explanation:

Rs: 10260

Profit 20%

10260 * 0.20 * 100% = 2052 Rs

10260 Rs - 2052 Rs = cost of product to be produced

CP: Rs 10260

Profit: 20%

Solution: 20% off 10260 is equal to (20 x 20) / 100 = 2052. So if you buy an item at $10260 with 20% discounts, you will pay $8208 and get 2052 cashback rewards

Solve the equation for x: 3x=.5

Answers

Answer:

[tex]x=\frac{1}{6}[/tex] or [tex]x=1.6667[/tex]

Step-by-step explanation:

All you have to do is divide both sides by 3. When dividing decimals it's sometimes easier to change it to a fractions like so: [tex]x=\frac{1}{2} /\frac{3}{1}[/tex] to divide fractions you multiply the reciprocal like this: [tex]x=\frac{1}{2} * \frac{1}{3}[/tex] to get [tex]x=\frac{1}{6}[/tex]

6x=2x+-16 Same as the others I tried and I failed. :(

Answers

Hi!

Stay positive :)

x= -4

Subtract 2x from both sides
6x−2x=−16

Combine 6x and −2x to get 4x.
4x=−16

Divide both sides by 4.
x= -16/4


Divide −16 by 4 to get −4.
x= -4

Hope this helps!

Have a lovely day (or night) :)

Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?

Answers

Answer:

3 cups

Step-by-step explanation:

3 cups !!!:) hope this helped

4x+14=6x+8

Solve please

Answers

Answer:

x=3

Step-by-step explanation:

Answer: x= 4

Solution:
4 multiplied by 4 equals 16.
16+ 14 = 40

6 multiplied by 4 equals 32
32+8 = 40

4 equals to x.

help ill mark u as brainlist​

Answers

Answer:

C

Step-by-step explanation:

(C) 12.5 if u need any help ask me.

Answer:

[tex]x = 112.5....... \: i.e \: option \: b.[/tex]

Step-by-step explanation:

[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]

3(2x + 5) + 4 = 7
what the answer to c

Answers

Answer:

-2

Step-by-step explanation:

Opening bracket,

6x+15 +4=7

6x=7-19    (I took 15 and 4 to other side and thus they became negative)          

x=-12/6

x=-2

Pls mark me brainliest

Answer:

The answer is x = -2

Step-by-step explanation:

FOIL

3*2x + 3*5 + 4 = 7

6x + 15 + 4 = 7

6x + 19 = 7

Subtract 19 from both sides.

6x =  -12

Divide both by 6.

x = -2

Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.

What is m angle D?

Answers

Answer:

m∠D = 14

Step-by-step explanation:

According to the vertical angle theorem, both of these angles are congruent.

This means that they are equal (m∠C = m∠D) and we can solve for x:

m∠C = m∠D

-x + 26 = 2x - 10 (substitute in the equations)

-3x + 26 = -10 (subtract 2x from both sides)

-3x = -36 (subtract 26 from both sides)

x = 12 (divide both sides by -3)

Now that we know what x is, we can find m∠D by plugging it back into the equation:

m∠D = 2x - 10

m∠D = 2(12) - 10 (substitute the value for x in)

m∠D = 24 - 10

m∠D = 14

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.

∠C = ∠D

-x + 26 = 2x - 10

3x = 36

x = 12

Then the measure of the angle D will be

m∠D = 2x - 10

m∠D = 2(12) - 10

m∠D = 24 - 10

m∠D = 14°

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

the side length of a square is equal to?

a) the square of its area
b) the square root of its area
c) its area
d) half of its area

Answers

Answer:

half of the area

Step-by-step explanation:

i am not sure

Answer:

b

Step-by-step explanation

PLEASE HELP i’m being timed!!!


Solve the system by using a matrix equation.
6x-9y=3 3x-4y=7

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. (17,11)

I just did the quiz on edgen.uity

Solve for b in the following equation.

- 2 = 4

b = 12
b = 24
b = 36
b = 1

Answers

Answer:

B= 36

Step-by-step explanation

I reported the other answers and they got deleted this is the right answer

preform the indicated operation 2 3/8 × 5 3/4​

Answers

The answer will come out as 13.65625

Answer:

It is 13 21/32 hope this helps

Which linear equation has no solution?

Answers

Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

i think is slope intercept form.

Read the proof.
What is step 2?

sin(2x) = cos(x)cos(x) – sin(x)sin(x)
sin(2x) = sin(x)cos(x) – sin(x)cos(x)
sin(2x) = cos(x)cos(x) + sin(x)sin(x)
sin(2x) = sin(x)cos(x) + sin(x)cos(x)

Answers

Answer:

The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)

Step-by-step explanation:

Right answer on Edge

The step 2 will be;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The steps are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Now,

Since, The steps of the solution are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Hence, We get;

All the steps as;

⇒ sin (2x) = sin (x + x)

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

⇒ sin (2x) = 2 sin (x) cos (x)

Thus, The expression for step 2;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

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