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
ASHA 777 [7]
3 years ago
5

A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to gener

ate a total revenue of $158,400
Mathematics
1 answer:
Natali [406]3 years ago
6 0
Let
x =  the number of tickets sold at $27 each
y =  the number of tickets sold at $40 each

Because 5000 tickets were sold, therefore
x + y = 5000              (1)

Because the revenue generated was $158,400, therefore
27x + 40y = 158400      (2)

From (1),
y = 5000 - x          (3)

Substitute (3) into (2).
27x + 40(5000 - x) = 158400
-13x + 200000 = 158400
-13x = -41600
x = 3200
y = 5000 - x = 5000 - 3200 = 1800

Answer:
3200 tickets at $27 each, and
1800 tickets at $40 each

You might be interested in
Solve the equation. Check your solution. - 6y + 5 = 29y - 2​
mr_godi [17]

Answer:

y = 0.2

Step-by-step explanation:

Simplifying

-6y + 5 = 29y + -2

Reorder the terms:

5 + -6y = 29y + -2

Reorder the terms:

5 + -6y = -2 + 29y

Solving

5 + -6y = -2 + 29y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29y' to each side of the equation.

5 + -6y + -29y = -2 + 29y + -29y

Combine like terms: -6y + -29y = -35y

5 + -35y = -2 + 29y + -29y

Combine like terms: 29y + -29y = 0

5 + -35y = -2 + 0

5 + -35y = -2

Add '-5' to each side of the equation.

5 + -5 + -35y = -2 + -5

Combine like terms: 5 + -5 = 0

0 + -35y = -2 + -5

-35y = -2 + -5

Combine like terms: -2 + -5 = -7

-35y = -7

Divide each side by '-35'.

y = 0.2

Simplifying

y = 0.2

3 0
3 years ago
Read 2 more answers
Solve the equation below for x. -1 2(3x - 4) = 11
Lesechka [4]

Answer:

x= 37/36

Step-by-step explanation:

−12(3x−4)=11

Step 1: Simplify both sides of the equation.

−12(3x−4)=11

(−12)(3x)+(−12)(−4)=11(Distribute)

−36x+48=11

Step 2: Subtract 48 from both sides.

−36x+48−48=11−48

−36x=−37

Step 3: Divide both sides by -36.

−36x

−36

=

−37

−36

x=

37

36

Answer:

x=

37

36

8 0
3 years ago
Read 2 more answers
In Euclidean geometric terms, which of the below would be the best description of a<br> LINE?
Naddika [18.5K]

Answer:

It is a straight object that begins at a point and extends forever in one direction. It is a straight object that extends infinitely in opposite directions without any width or thickness.

7 0
3 years ago
. Each of the following has 9 as a factor except<br> A) 18018 B) 18 081 C) 81 180<br> D) 81 181
Arlecino [84]

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

4 0
3 years ago
Which of the following numbers is a perfect square?<br><br> 1 489<br> 2 485<br> 3 490<br> 4 484
nataly862011 [7]

Answer:

3490 is the perfect square

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression shown below:<br><br> ln(e^3 x^4), where x&gt;0
    12·1 answer
  • What is the weight in ounces of a 3/4 pound fish
    9·2 answers
  • Explain how both are correct./ bc I have the answer but I didn’t explain
    9·1 answer
  • A rental company charges a flat rate fee for $58 per day x coordinate represents of days and the y coordinate represents the tot
    11·1 answer
  • I WILL GIVE YOU ALL MY POINTS PLEASE JUST ANSWER THIS BEFORE I BREAKDOWN AND CRY HAHA NO BUT SERIOUSLY PLEASE ANSWER PLEASEEE IM
    7·1 answer
  • If you construct a line perpendicular to line a given by Y=22 through S(1,5) not on the line Y=22 Find the distance from S to li
    11·1 answer
  • The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total
    13·2 answers
  • Consider the function ƒ(x) = (x + 1)2 – 1. Which of the following functions stretches ƒ(x) vertically by a factor of 4?
    9·1 answer
  • Anyone know the sqrt(-25) <br> It would be 5i right?
    5·1 answer
  • 3. Find to the nearest thousandth: log7 80
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!