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
Cloud [144]
2 years ago
5

The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold a

nd the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there? ​
Mathematics
1 answer:
aliina [53]2 years ago
4 0

Answer:

2,172 adults

Step-by-step explanation:

Let adults = x

children = y

x + y = 5400

9.5x + 6.5y = 41,616

Let's use the elimination method to solve this.

Multiply the top equation by -6.5

(x + y = 5400)-6.5

-6.5x - 6.5y = -35100

This will allow us to eliminate the y and add up the other terms

9.5x + 6.5y = 41,616

-6.5x - 6.5y = -35100

3x = 6516

Divide both sides by the coefficient, 3, to isolate the variable, x

3x/3 = 6516/3

x = 2172

You might be interested in
What is the solution of the equation? (√2x-1) + 2=x
Gwar [14]

Answer:

x = 5

Step-by-step explanation:

√(2x − 1) + 2 = x

√(2x − 1) = x − 2

2x − 1 = (x − 2)²

2x − 1 = x² − 4x + 4

0 = x² − 6x + 5

0 = (x − 1) (x − 5)

x = 1 or 5

Check for extraneous solutions.

√(2(1) − 1) + 2 = 1

√(1) + 2 = 1

3 = 1

No solution

√(2(5) − 1) + 2 = 5

√(9) + 2 = 5

5 = 5

x = 5

7 0
3 years ago
Please help!
mina [271]

Answer: A

Step-by-step explanation:

See how many times the coordinates are plot

7 0
3 years ago
Please answer these three questions. There are 3 images attached below and they apply to each question, in order.
statuscvo [17]
1a. It is because each x only has 1 y and it has an equation
1b. It is not a function because each x has more than 1 y.
1c. It is not a function because there can be no equation written for this graph.
7 0
3 years ago
Which of the following ratios does not describe a relationship between the balls?
Nikolay [14]

Answer:

Step-by-step explanation:

4 0
2 years ago
A circle has a radius of 3. An arc in this circle has a central angle of 60 degrees. What is the length of the arc?
Yuliya22 [10]

Answer:

The answer is 3.14 units

6 0
3 years ago
Other questions:
  • What is the value of tanX?<br><br> 8/9<br> 9/8<br> 8/15<br> 15/8
    14·2 answers
  • What is the area of CDEF? Please could you also say how you got your answers, it will be much appreciated.
    11·1 answer
  • 8/3 + 3/4 equals...
    6·2 answers
  • 6. The rungs of a ladder are each perpendicular to one side of the ladder. What can you conclude about the rungs of the ladder?
    5·1 answer
  • Are there always the same number of prime numbers between 2 consecutive multiples of 10? Why?
    7·1 answer
  • Janet is collecting coins. She starts with 6 coins. The next week she has 10 coins. In two weeks she has 14 coins. If this patte
    12·1 answer
  • Help ASAP please!!!
    13·1 answer
  • What is the solution of this?<br> (x+a)(x+b)=??
    12·2 answers
  • What is the right answer​
    8·1 answer
  • How many times do i have to multiply to gert from 6.98 to 6968
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!