A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?

Answers

Answer 1

Answer:

340

Step-by-step explanation:

No. of  seats in theater 1 = 270

Let the no. of  seats in theater 3 be x

given that

There are 150 more seats in Theater 2 than in Theater 3.

no. of  rooms in theater 2 =  no. of  rooms in theater 3 + 150

                                          x + 150

Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420

It is also given that total capacity is 800 seat

thus

Total numbers of seats in all the theater = 800

2x+420 = 800

=> 2x = 800 - 420 = 380

=> x = 380/2 = 190

Thus, no of rooms in theater 3 is 190.

No. of rooms in theater 2 is x + 150 = 190 + 150 = 340  ---> Answer


Related Questions

Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit earning 5% annual simple interest to earn $390 of annual interest how much should she invest in each account?​

Answers

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

Let y represent the amount that he would deposit in the certificate of deposit.

she will deposit twice as much in the certificate of deposit. It means that

y = 2x

Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x

Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

The total interest from both accounts would be $390. It means that

0.07x + 0.05y = 390- - - - - - - - - - 1

Substituting y = 2x into equation 1, it becomes

0.07x + 0.05 × 2x = 390

0.07x + 0.1x = 390

0.17x = 390

x = 390/0.17 = $2294

y = 2x = 2 × 2294

y = 4588

An amount was invested at

r%

per quarter. What value of

r

will ensure that accumulated

amount at the end of one year is 1.5 times more than amount invested? Correct to 2 decimal

places​

Answers

Answer:

10.67%  per quarter

42.68%  per year

Step-by-step explanation:

The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate  formula  in excel as below:

=rate(nper,pmt,-pv,fv)

nper is 1 year multiplied 4 quarters=4

pmt is the amount invested  periodically and it is zero

Assume that $1000 was invested

FV which is the future value=1.5*$1000=$1,500

PV=$1000

=rate(4,0,-1000,1500)

rate=10.67%

rate per year=10.67% *4

if 24 students took a test and 18 passed how much percent passed?

Answers

Answer:

75%

Step-by-step explanation:

6 x 4 = 24 so we make 24 into a fraction 24/24, then we make 18 a fraction as well, 18/24, then we simplify 18/24 = 3/4 = 75%

Answer:

%75

Step-by-step explanation:

this question is solved by establishing the correct proportion

24 - 18

100 - ?

(100*18)/24 = 75

Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.

Answers

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2[tex]\pi[/tex]r

Circumference = 12.566

Area = [tex]\pi[/tex]r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?

Answers

I rolled an odd number and it was 17

100 points! Whoever can finish this is a god! you have a time limit. 10 min.

Answers

Question 5 Is answer D) 20
Question 8 is skewed left
Question 7 is C
Question 11 is C
Question 12 i’m pretty sure is Quartile *i haven’t done this in a while*
Question 4 is the first Histogram.

Answer:

See explanation

Step-by-step explanation:

Question 11:

The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.

Question 12:

Mean absolute deviation

Question 5:

36-16=20

Question 7:

Since the IQR is 6 and 1.5*6=9, both extremes are outliers.

Question 8:

Skewed left

Question 4:

First histogram

Hope this helps!

???? Answer please anyone

Answers

Answer:

The answer is 4 3/4

The value of a painting can be predicted by the expression 120(1.08)t, where t is the number of years since 2014.
What does the value 120 represent?

1. the predicted value of the painting in 2014

2. the predicted change in the value of the painting each year

3. the predicted percent change in the value of the painting each year

4. the number of years for which the value of the painting is predicted to continue changing

Answers

Answer:

1. the predicted value of the painting in 2014

Step-by-step explanation:

In the expression, 120 represents the initial value of the painting.

In expression [tex]120(1.08)^t[/tex], t is the number of years since 2014, and 120 represents the predicted value of the painting in 2014.

Exponential growth occurs if a quantity increases by the same factor over equal  intervals of time and if a quantity increases by the same factor over equal  intervals of time then it is said to be exponential decay.


A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

Answers

Answer:

The answer is 13! which equals 6227020800.


The perimeter of a rectangular playground shown is 140 feet what is the area of the playground if the length is 40 feet

Answers

This will leave you with

140 = 2(40) + 2x

60 = 2x

30= x



So the length is 30.

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?

Answers

Answer:

Step-by-step explanation:

it’s B

Bro I don't know haha

Which point represents 2 and one-fourth on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
Point A
Point C
Point D
Point E

Answers

Answer:

point c

Step-by-step explanation:hope it helps

Which point represents 2 1/4 on the graph?

B: Point C

Find the equation of the line parallel to line h that passes through (–4, 2).
A) y = 1/3x + 10/3
B) y = -1/3x + 2/3
C) y = 3x + 14
D) y = -3x - 10

Answers

Answer:

A) y = 1/3x + 10/3

Step-by-step explanation:

What is: x^2+2x-35? Please help

Answers

Answer:

(x +7)(x - 5)

Step-by-step explanation:

x² + 2x - 35

- 35 = 7*(-5)

2 = 7 + (-5)

x² + 2x - 35 = (x +7)(x - 5)

To expand on the other users answer:
Once you have (X+7)(X-5) you set each term to zero to find the value of x.
So x+7=0 X=-7
And x-5=0 X=5
So your possible values for x are -7 and 5

possible answer

5
-5
2.8
-2.8​

Answers

The answer would be 5. The lines would be supplementary meaning that they equal 180. So combine like terms for both angles and you would get 34x+10=180. Then solve for x to get 5
-5 probability I mean prot

What is the value of 0?

Answers

Answer:

It is 0

Step-by-step explanation:

Is (-4, 2) a solution of 3y - 2x = 14?

Answers

Plug in the values for x and y into the equation.

3(2) - 2(-4) = 14

Simplify

6 - (-8) = 14

Minus a negative means plus a positive.

6 + (+8) = 14.

Since this is true, the ordered pair (-4,2) works.

Answer: I don’t know if this will help, but I do know that the function for that equation is -7

Step-by-step explanation:

What is the reciprocal of 8/12

Answers

Answer: 12/8

Step-by-step explanation:

You just flip it

Answer:

12/8

Step-by-step explanation:

To find a reciprocal of a fraction, just flip the numbers upside down or invert it.    

In other words, swap the numerator over the denominator to get the reciprocal.

Example: 3/4 → 4/3

Have a great day and stay safe!

The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm

Answers

Answer:85cm is kept comstant for a while

Step-by-step explanation:

For 2nd part

1m 80 cm

=1×100cm+ 80 cm

=100cm+ 80 cm

=180cm

So

#According to question,

If both are added then,

=85cm+180 cm

=265cm

please brainlest

Step-by-step explanation:

Someone please help :(.

Answers

Answer:

  (-9, 16)

Step-by-step explanation:

If (x, y) = (-9, 4), then (x, 4y) = (-9, 4·4) = (-9, 16).

5. Find the volume:
6.8 m
9.2 m
6.2 m​

Answers

Answer:

387.872

Step-by-step explanation:

to find volume you have to multiply the length times width times height so that's what I did to get the answer.

QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89

Answers

Answer: $114.65

Step-by-step explanation:

From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.

Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:

= $687.89/6

= $114.65

The person will pay $114.65 monthly

Answer:

114.65

Step-by-step explanation:

determine weather it is no solution many solutions or one solutions
3(6-4m)=2(9-6m)

Answers

Answer:

Many solutions

Step-by-step explanation:

write with explain. ​

Answers

Answer: The acute angle between diagonals is 50

Step-by-step explanation:

Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).

Alternatively:

Green angle is 130 by sum of interior angles of a triangle.

Red angle is 50 by Adjacent angles

A local car dealership is trying to sell all of the cars that are on the lot. Currently, there are 525 cars on the lot, and the general manager estimates that they will consistently sell 50 cars per week. Estimate how many weeks it will take for the number of cars on the lot to be less than 75. Write an inequality that can be used to find the number of full weeks, , it will take for the number of cars to be less than 75. Since is the number of full or complete weeks, = 1 means at the end of week 1. Write and solve the inequality

Answers

Answer:

525/50=10.5 it will take 10.5 weeks to get rid of every car we however only need to have below 75 so 525/50w<75

Step-by-step explanation:

First you need to divide 525 by 50 to show how many weeks it will take to sell all the cars. And then it should be one less week than the answer you just reacieved.

identify the domain and range of y = 4x - 5 + 3

Answers

Answer:

[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

Answer: negative infinity to infinity and 3 to infinity

Step-by-step explanation:

edge 2023

What is the value of p?

Answers

The equal of all angles is 180 so A=90 and B=180-125=55 so the answer is D = 35

Answer:

Step-by-step explanation:

The slope of the line whose equation is 5x - 3y = 4 is

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

5x - 3y = 4

Solve for y

Subtract 5x from each side

5x-5x - 3y =-5x+ 4

-3y = -5x+4

Divide each side by -3

-3y/-3 = -5x/-3 +4/-3

y = 5/3x -4/3

This is in the form

y =mx+b

The slope is m and the y intercept is b

The slope is 5/3

PLZ HLP MEEEEEEEEEEEEEEE

the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?

Answers

Answer:

B

Step-by-step explanation:

1/4 = the ratio 60/240

Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.

Answers

Answer:

The dog weighs 16 pounds, while the cat weighs 8 pounds

Step-by-step explanation:

Let's call the weight of the dog d, and the weight of the cat c.

d+c=24

d=2c

Substitute the second equation into the first:

(2c)+c=24

3c=24

c=8

d=24-8=16

Hope this helps!

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