A new movie is currently showing at the local movie theater. For the 6:00 pm showing, the theater sold 36 student tickets and 24 adult tickets for a total of $423. The theater sold 41 student tickets and 38 adult tickets for a total of $585.75 for the 8:30 pm showing. If x represents the number of student tickets sold and represents the number of adult tickets sold, which of the following systems of equations correctly models the situation? Group of answer choices

Answers

Answer 1

Answer:

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

x =$5.25

y = $9.75

Step-by-step explanation:

x = the number of student tickets sold

y = the number of adult tickets sold

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

Multiply (1) by 38 and (2) by 24

1368x + 912y = 16,074 (3)

984x + 912y = 14,058 (4)

Subtract to eliminate y

1,368x - 984x = 16,074 - 14,058

384x = 2,016

x = 2,016/384

x = 5.25

Substitute x = 5.25 into (1) to find y

36x + 24y = 423

36(5.25) + 24y = 423

189 + 24y = 423

24y = 423 - 189

24y = 234

y = 234/24

y = 9.75

x =$5.25

y = $9.75


Related Questions

Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8y+2x+2w

Step-by-step explanation:

Answer:

I have literally no idea. Very sorry!

C) Which of the items had the greatest increase in sales over the 3 years ? Give a reason for your answer

Answers

Answer: Tablets because they increase in sales by 467%

Step-by-step explanation:

The item with the greatest increase is the one that has the highest percentage increase in the 3 years.

Each box represents 20 units sold.

Desktop Computers:

= (2017 sales - 2015 sales) / 2015 sales * 100%

= (160 - 100) / 100 * 100%

= 60%

Laptops:

= (280 - 160) / 160 * 100%

= 75%

Tablets:

= (340 - 60) / 60 * 100%

= 467%

Please helpppppppppppppppppppppppppppppppppppppppp
Convert the following fractions into percent and decimals.


1/4, 1/25 , 1/6 , 1/3

Answers

Answer:

1/4 is 25% .25 1/25 is 4% 0.04 1/6 is .167 16.67% 1/3 is 0.33 or 33%

Step-by-step explanation:

1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help

Answers

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

In which set of ordered pairs Is y NOT a function of X? A
{(1, 3), (2, 3), (3, 3), (4,3)}
B) {(1,3), (-2,5),(-2,7),(3,5)}
C){(7,2), (2,5), (0,4), (1,5)
D) {(-1,5), (2,6), (4,8), (9,4)}​

Answers

Answer:

b

Step-by-step explanation:

for every x, there must be exactly one y for it to be a function. so, if there is more than one x per y, it's not a function.

in b, -2 (x) has two different y's which are 5 and 7, making it not a function.

b hjjjkkkokmnhjmkkkkmkjnjinjiniunui

A bus that is traveling north at 48 km/h slows to a stop to pick up passengers. It then begins moving again. At the next corner, it turns to the east.

a. Identify the speed of the bus.

b. Identify one example of the velocity of the bus.

c. Identify each group of words or phrases that describe acceleration of the bus.

Answers

Answer:

A

Step-by-step explanation:

In 120 seconds, the speed of a bus travelling on a smooth road increases from 8 m/s to 32 m/s. This technique uses the bus's potential energy.

Explain about the velocity?

Velocity is the rate of travel in a specific direction and adds direction to speed. Divide the distance travelled by the time it took to travel that distance, then add direction to determine the velocity. Velocity is zero if one's position doesn't change.

By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.

Velocity can be defined as the rate at which something moves in a specific direction as the speed of a car driving north on a highway or the pace at which a rocket takes off.

To learn more about velocity refer to:

https://brainly.com/question/25749514

#SPJ2

Evaluate:
26
(2n +5) = [?]

Answers

Answer:

52n + 130

Step-by-step explanation:

Distribute

26 (2n + 5)

52n + 130

Solution

52n + 130

basically i need the answer to a) and b) thank you.

Answers

Answer:

a=8, b=8.14

Step-by-step explanation:

2^3 is the same as 2•2•2 which is 8.

If you cube root of 540 it is 8.14325 but I left it off with the second decimal which you could add or take off whichever you need.

A=8 and B=8.14 is the correct answer hope I helped

One of the legs of a right triangle measures 4 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

√308 or 17.5

Step-by-step explanation:

c^2=a^2+b^2

c^2-a^2=b^2

Substitute

18^2-4^2=b^2

324-16=b^2

b^2=308

b=√308 or b=17.5

please with explanation​

Answers

Answer:

is this premite, volume or area

Step-by-step explanation:

Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?

Answers

Answer: Jesse

Step-by-step explanation:

Elizabeth - 50f/10s

Jesse - 55f/10s

Reagan - 53.3333333/10s

Jesse is the fastest

Answer:

I think that Jessie swam the fastest

Step-by-step explanation:

Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!

(sorry Im not the best at math but I hope you can understand my logic lol)

Factorize the following to answer the code below. Letters may be used more than once.
Q3. Find remainder if x 3 – 3x 2 + 4x – 14 is divisible by x + 2.
Q4. Factorize x 3 – x 2 – 22x + 40

Answers

Answer:

3.-42

Step-by-step explanation:

3.

x+2=0,x=-2

f(-2)=(-2)³-3(-2)²+4(-2)-14=-8-12-8-14=-42

4.

x³-x²-22x+40

put x=2

2³-2²-22(2)+40

=8-4-44+40

=48-48

=0

x=2

so x-2 is one factor.

by synthetic division.

2 |  1  -1  -22   40

  |       2    2  -40

 _____________

     1   1   -20  | 0

x²+x-20=0

x²+5x-4x-20

=x(x+5)-4(x+5)

=(x+5)(x-4)

x³-x²-22x+40=(x+5)(x-2)(x-4)

any smart people wanna help me

Answers

Answer:

B. 3x + 60

Step-by-step explanation:

3. John makes $7.25 per hour at work. If he works 17 hours a week, how much will he earn?

Answers

Answer:

He will earn $123.25

Step-by-step explanation:

You multiply $7.26 by 17.

help..................


Answers

Answer:

2(x^7+x^5y^2+x^3y^4+y^3x^4+y^5x^2+y^7) under (x^2+xy+y^2)(x^2-xy+y^2)(x^4+x^2y^2+y^4)

Step-by-step explanation:

A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in six seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

Answers

Answer:

The mama bear can do it in 9

seconds. The cub can do it in 18

seconds.

Step-by-step explanation:

1/x+9+1/x=1/6

Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, the rates are as follows:

Given

A tourist ignores the warning signs and leaves food in his car while he goes for a hike.

A mama bear and her cub open the car door in six seconds.

Together with rate: 1/6.

Mama's rate: 1/x.

Cub's rate: 1/(x + 9).

Therefore,

[tex]\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6[/tex]

The value of time can not be negative.

Hence, It would take each bear 9 hours to open the car door alone.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

P= x/3 - 2 when p equals -5

Answers

Answer:

x = -9

Step-by-step explanation:

Plug in -5 to P then simplify the expression.

-5 = x/3 - 2

-3 = x/3

-9 = x

Answer:

I think X= -9

Step-by-step explanation:

Sub in -5 for p

-5=x/3 - 2

then add the -2

-3 =x/3

then multiple the 3

and you get -9

Please give me brainliest!

The equation for line j can be written as y = x + 9. Line k includes the point (6, 10) and
is perpendicular to line j. What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

Answers

Answer:

use formula

Step-by-step explanation:

equate them and then u will see ur answer

can someone helppppppppp

Answers

Answer:

I hope so option c is answer

Answer:

Step-by-step explanation:

(X-6)(x-6)

Follow the steps in FOIL (first, outside, inside, last)

First= X x X= X^2

Outside= X x -6 = -6X

Inside= -6 x X = -6X

Last= -6 x -6 = 36

Ans = X^2 -6X - 6X + 36

Simplify: X^2-12X+ 36

Answer is C

Write an equation in slope-intercept form that represents the situation:

Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.

Answers

Answer:

         y = 3.5x + 15

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

You return a video that is 3 days overdue. In addition, you rent another video for $4.95. If the total bill is $13.92, what is the fine for having an overdue video for one day?

Answers

So a video costs 4.95.
4.95x2 is 9.9.
13.92-9.9 is 4.02.
4.02/3 is 1.34.
So an overdue video for one day is $1.34


7 (p – q)
for p
=
10 and q = 2

Answers

Answer:

56

Step-by-step explanation:

7(10-2)

7*8

=56

Answer:

56

Step-by-step explanation:

7(p(10-q(2))  

70-14=56

Answer= 56

What percent of 210 is 168?

Answers

Answer:

160 is 80% of 210.

Step-by-step explanation:

cause im smart

Taikan has 3 riffle tickets. One hundred were sold. If his name was not drawn for the first place prize, what is the probability that his name will be drawn for the second place prize?

A. 1/1,100
B. 1/1650
C. 2/99
D 1/33

Answers

The answer is C. Because it’s my answer.

Answer:

Step-by-step explanation:

3/(100-1)

3/99

1/33

What are two different ways of factoring -3x – 9? Select all that apply. (2 answers)
A. -3(x + 3 )
B. 3(x+3)
C. 3(-x-3)
D. -3(x-3)

Answers

So basically the answer would be A and C bestie‍♂️

Find sin B as a decimal and round to the nearest hundredth.

Answers

Answer:

sin B= 33.06

Step-by-step explanation:

Hope this Helped!

And electrician needs 2 rolls of electrical wire to wire each room in a house how many rooms can he wire with 3/4 of a roll of wire

Answers

Answer:

3/8 room

Step-by-step explanation:

Given data

We are told that 2 rolls of wire are needed to wire 1 room

Hence if 1 room needs 2 rolls

               x rooms will need 3/4 rolls

cross multiply we have

2x= 3/4

Multiply  both sides by 1/2

x= 3/4*1/2

x= 3/8 room

The cost of downloading a video game app on the App Store is $1.75. Which equation can be used to find the c, the cost in dollar of downloading n video games?


A) c = n + 1.75

B) c = 1.75n

C) n = c + 1.75

D) n = 1.75 c

Answers

Answer:

Hey I just wanted to tell you that Jesus LOVES YOU SO MUCH He died on the cross for all your sins so you won’t have to suffer the consequences of your sin He paid for ALL OF IT! He loves you SO FREAKING MUCH like unconditionally... all you have to do is confess with your mouth and believe in your heart that Jesus is Lord and God raised Him from the dead 3 days later you will be saved ;)))))))) He wants an intimate relationship with you all you have to do is reach out to Him I love you AND ABOVE ALL JESUS LOVES YOU

Have a blessed day;))

Step-by-step explanation:

Fabian harvest 10 pounds of tomatoes from his garden he needs two and 2/5 lb to make a batch of soup if he sets aside 2 and 8/10 lb of tomatoes to make spaghetti sauce how many batches of soup can Fabian make.


Answers

He can make 3 batches of soup.

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:
72/10 ÷ 12/5

Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3

Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

let the opposite angle of 44 be x

and let opposite angle of z be y

44+52 + x=180( by sum of all angle is 180°)

96+x=180

x= 180-96

x=84

y+x=180 ( linear pair angle)

y+84=180

y=180-84

y=96

now the y, z,40 are triangle.

y+z+40=180( by sum of all angle)

96+z+40=180

z+136=180

z=180-136

z=44

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