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
VladimirAG [237]
2 years ago
9

A theatre has the capacity to seat people across two levels, the Circle and

Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

You might be interested in
What’s the answer/ how should I work it?
SIZIF [17.4K]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

-\frac{6}{11} + (-\frac{5}{11}) =

=\frac{-6}{11} + \frac{5}{11}

= \frac{-6}{11} + \frac{-5}{11}

= -1

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

3 0
3 years ago
Sports American football fields measure 100 yards long between the end zones, and are 53 1_3yards wide. Is the length of the dia
Ann [662]

Answer:

113 \frac{1}{3} Yards

Step-by-step explanation:

solving using  Pythagorean Theorem

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2 square root

= 113 \frac{1}{3}

Base on the explanation above we can tell that the length of the diagonal across this field is less than 120 yards.

8 0
2 years ago
Rearrange the formula A = \pi r ^ ( 2) for r
tatyana61 [14]
Consider re-writing this formula as "A = pi*r^2."  The backslash symbol "\" is unnecessary.

If A = pi*r^2, and we wish to solve for r, then divide both sides by pi:

A/pi = r^2

Taking the square root of both sides,   sqrt(A/pi) = r (r must be positive in this situation).
3 0
3 years ago
A football team loses 4 yards on each 3 consecutive plays. Find the total change in yard from where the team started
BigorU [14]

Answer:

The Team started at 1st and 10 but finished at 4th and 22, so they lost 12 yards in 3 plays.

Step-by-step explanation:

6 0
2 years ago
In her free time, isabelle likes to read. she kept track of the number of pages in each book she read last summer. this box plot
Free_Kalibri [48]

200 is the median (50%) of the data represented in the box plot. The fraction of the books has 200 or fewer pages is: 1/2.

<h3>What is the Median of a Data in a Box Plot?</h3>

In a box plot, the median is indicated as the value marked by the vertical line that divides the rectangular box of the box plot.

The median is the middle of the data and represents the 50th percentile. That is 1/2 the data.

In the box plot given, 200 pages is the median. Therefore, the fraction of the books that have 200 or fewer pages is: 1/2.

Learn more about box plot on:

brainly.com/question/14277132

#SPJ1

8 0
1 year ago
Other questions:
  • I WILL AWARD BRAINLIEST!!
    15·2 answers
  • The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015 cm. W
    10·2 answers
  • Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students
    5·2 answers
  • HELP ASSAP WITH THIS QUESTION
    8·1 answer
  • Cos130° = _____<br><br> -cos50°<br> cos50°<br> cos(-50°)
    13·2 answers
  • HELP ME PLEASE ASAP
    6·1 answer
  • 32. Find the coordinates M (x, y) of the midpoint of the line segment PQgiven P (-7,3) and Q
    12·2 answers
  • What is the measure of ∠W, rounded to the nearest degree?
    10·2 answers
  • The park behind James's house used to have a bike trail that was 12.347 kilometers long. Last year, the trail was reduced to 9.4
    15·2 answers
  • Which product is positive?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!