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
schepotkina [342]
3 years ago
8

At the movie theatre, child admission is $5.40 and adult admission is $8.70 . on friday, 159 tickets were sold for a total sales

of $1079.70 . how many adult tickets were sold that day?
Mathematics
1 answer:
blondinia [14]3 years ago
7 0
Alright this is gonna be a long one

Lets called child tickets x and adult tickets y 

so x + y should be equal to 159 since they said that the total sum of the tickets is 159 
so thats your first equation : x + y = 159

next form an equation using the prices, 
5.40x + 8.70y = 1079.70

now that you have your two equations, just substitute the first into the second (you could either substitute for x or y by saying x = 159-y or that y=159-x)

Hope this helps.
You might be interested in
Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us
Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

P(x) = 5000000- 20000x - 200000x + 2000x^2

P(x) = 5000000-220000x + 2000x^2

<u>Material 2</u>

P(x) = 4000000 - 10000x - 160000x+ 1000x^2

P(x) = 4000000-170000x+ 1000x^2

<u>Material 3</u>

P(x) = 2000000 - 5000x - 54000x - 270x^2

P(x) = 2000000 -59000x - 270x^2

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(151) = 4000000-170000 * 151+ 1000* 151^2

P(151) = 1131000

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(49) = 5000000-220000 * 49 + 2000* 49^2

P(49) =-978000

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using P(x) = 2000000 -59000x - 270x^2

So, we have:

P(45) = 2000000 -59000 * 45 - 270 * 45^2

P(45) = -1201750

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(30) = 4000000-170000*30+ 1000*30^2

P(30) = -200000

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(40) = 5000000-220000*40 + 2000*40^2

P(40) = -600000

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0
2 years ago
What Is 8÷856....Plz help
otez555 [7]
0.00934579439 Now I'm just waiting until 20 charac- done
4 0
3 years ago
For A I somehow got 41.05 but its 2.95cm can someone show me the working and what I did wrong?
777dan777 [17]

Answer:

Step-by-step explanation:

a). tan(75°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

                  = \frac{11}{k}

    k = \frac{11}{\text{tan}(75)}

    k = 2.947

    k = 2.95 cm

b). cos(52°) = \frac{16}{s}

    s = \frac{16}{\text{cos}(52)}

    s = 25.988

    s ≈ 25.99 cm

c). sin(5°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

               = \frac{16.1}{q}

    q = \frac{16.1}{\text{sin}(5)}

    q = 184.727

    q ≈ 184.73 cm

4 0
3 years ago
The number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the
liq [111]

Answer:

  • <u>Option B. 59%</u>

Explanation:

The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:

  • A(t)=136(1.123)^{4t}

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:

  • rate=(1.123)^{4t}=(1.123)^4=1.590

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

8 0
4 years ago
PLEASE HELP ME (40 POINTS)
CaHeK987 [17]

For each equation give X a value and solve for Y, do this at least two times for each equation.

Plot those dots on a graph to draw two lines.

The solution is where the two lines cross.

You will see the lines cross at (-1,-2)

7 0
3 years ago
Other questions:
  • If a figure is translated up 9 units and then left 8 units, what can be said about the perimeter of the transformed image?
    9·2 answers
  • WILL GIVE BRAINLIEST!
    14·1 answer
  • 13. If 6 times the 6th term of an A.P. is equal to
    12·1 answer
  • What is the expected value of the above spinner?
    8·1 answer
  • Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
    13·1 answer
  • What is the slope of the line
    12·2 answers
  • How do you Solve 2v−6v+7v=15.
    5·1 answer
  • Can somebody please help me and explain a bit, it's for a test grade :(
    13·1 answer
  • 1,536÷24 GETS BRAINLIEST​
    9·2 answers
  • What is the number sentence for "1 less than N is the sum of Z and<br> 2"?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!