1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julsineya [31]
3 years ago
15

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.
Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Let, number of children are x and number of adult are y.

Total number of seats, T = 180.

x + y = 180     ....1)

Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.

So, total amount :

8.5x + 12.5y = A

8.5x + 12.5y = 1826    ....2)

Solving equation 1) and 2) , we get :

8.5x + 12.5( 180 - x ) = 1826

8.5x - 12.5x + 2250 = 1826

-4x = -424

x = 106

y = 180 - 106 = 74

Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.

Hence, this is the required solution.

You might be interested in
(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
anygoal [31]

Answer:

<h2>50+50i</h2>

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

5 0
3 years ago
(A) all values at which F has a local maximum: <br><br> (B) all local maximum values of F:
Bingel [31]

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.

6 0
3 years ago
Answers? Sodiejjrjejwjwkskskd
irakobra [83]
Mckshsdb cdhusksjchsh
3 0
3 years ago
Please help I need to get this done
hichkok12 [17]

Answer:

48

Step-by-step explanation:

So you take 7x-92+6x+12=180

And then you get x=20

Plug in 20 for x for <LOM

And you get and you get 48

Hope this helped!!

3 0
3 years ago
Mr. and Mrs. Carlo want to buy a new car, but they do not have enough money in their bank account to pay the entire cost after t
sweet-ann [11.9K]
The answer is B. They get a loan and pay each month, because then they have time to get the money to pay it back while still getting the car.
6 0
3 years ago
Other questions:
  • Which statement ​best​ describes a situation in which opposite quantities combine to make zero?
    15·2 answers
  • miranda says 30×26 is greater than 20×36.is she correct?draw a model to explain if miranda is correct.
    7·1 answer
  • Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
    9·1 answer
  • Which of the following dividend dates does not get a formal journal entry?
    11·2 answers
  • What is the distance between the points (3, 7) and (15, 16) on a coordinate plane?
    15·1 answer
  • A ladder that is 25 feet long is leaning against a pillar. The vertical height from the base of the pillar to the top of the lad
    12·2 answers
  • Help pls I will give brainliest! 6
    13·1 answer
  • Can you plz pick only 2 of these and make sure you have the steps to go with it cuz it’s due today
    5·2 answers
  • Please answer correctly.
    12·1 answer
  • Which of the following scatter plots does not have a zero correlation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!