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
Olin [163]
2 years ago
13

A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from

the people in theater A and a 30% response rate from the people in theater B. There were 800 people in total in theaters A and B.
Part A:​ It was estimated that an equal number of people from each theater responded to the poll. If this was the case, how many people in total would have been in theater A?

Part B:​ In reality, 440 people were in theater A and 360 people were in theater B. What was the total response rate for the poll? Express your answer as a percentage.
Mathematics
1 answer:
sp2606 [1]2 years ago
5 0

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

You might be interested in
To find the percent of a discount, ______________.
Neporo4naja [7]
The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.
4 0
2 years ago
Which angles are vertical to
ArbitrLikvidat [17]
GAH is vertical to FAE
4 0
3 years ago
Read 2 more answers
It won't let me type it out but hurry ahhh​
Ad libitum [116K]

Answer:

its either got to be c or b but id go with the one that you thank it is

Step-by-step explanation:

7 0
2 years ago
(5n-1)(n+1)=0 factory
gavmur [86]

Answer:

5n^2+(4n)-1

Step-by-step explanation:

(5n-1)(n+1)=0

Lets find <em>n.</em>

(5n-1)(n+1)=0

FOIL it.

5n^2+5n-1n-1

Add/Substract similar factors

5n^2+(5n-1n)-1

5n^2+(4n)-1

Thats your answer.

3 0
3 years ago
Find the lowest common multiple {lcm} of 75 and 90
Svetach [21]

Step-by-step explanation:

the answer is LCM OF 75 AND 90 IS 450

4 0
3 years ago
Other questions:
  • Kruger Motors Inc. deposited a check in its bank account, but the check has not been credited by the end of the month. What effe
    6·2 answers
  • Help plz quick appreciated
    10·1 answer
  • Explain why 2/3 ×12 can be written as 2 × 12 ÷3
    7·1 answer
  • What is the magnitude of an earthquake that is 35 more times intense than a standard earthquake
    11·1 answer
  • Graph ABCD if A(1, 4), B(6, 6), C(4, 1), and D(−1, −1). Is ABCD a rhombus? Show how you know.
    8·1 answer
  • Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
    10·1 answer
  • Divide. Write the answer in simplest form.<br><br> 1/2 divided by 5/6
    11·1 answer
  • PLEASE HELP
    5·1 answer
  • Which is greater 6/ 10 or 6/100.Explain​
    5·2 answers
  • If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!