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
zmey [24]
3 years ago
13

B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the nu

mber of open exits, E.It takes 12 minutes for a stadium to empty when there are 20,000 spectators and 20 open exits. How long does it take the stadium to empty when there are 36.000 spectators and 24 open exits.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

18 minutes

Step-by-step explanation:

Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).

Hence:

T ∝ S; T ∝ 1 / E

Let k be the constant of proportionality. This gives:

T = kS / E

when T = 12 minutes, S = 20000, E = 20. Hence:

12 = k(20000) / 20

20000k = 240

k = 12 / 1000

This gives:

T = \frac{12}{1000}(\frac{S}{E} )

When  S = 36000, E = 24, we are to calculate the time (T):

T=\frac{12}{1000} (\frac{36000}{24} )=18\\

T = 18 minutes

You might be interested in
Carmen cuts a 60-inch-long wire into pieces that are 3/4 inch long.How many pieces does she have?
miskamm [114]
Since we have to divide 60 by ¾, so get 60/ ¾ =60* 4/3 = 80
7 0
3 years ago
Read 2 more answers
-12°F+ -23°F please don't let me down
coldgirl [10]

Plus a negative value becomes subtraction:

-12 + -23 = -12 -23 = -35

3 0
3 years ago
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price an
nikklg [1K]

Answer: $600.60

Step-by-step explanation: i hope this is correct have a great day :)

8 0
3 years ago
Tell whether the shapes are similar explain your answer
Luda [366]
Yes you can assume they are similar because the sides that correspond with one another are half of the big triangles measurements. 16/2=8 12/2=6 etc.
7 0
3 years ago
A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall
Volgvan

Answer:

The volume of the pill is V=452\ mm^{3}

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

so

we have

V=\frac{4}{3}\pi r^{3}+\pi r^{2}h

r= (18-12)/2=3\ mm\\ h=12\ mm

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}

8 0
3 years ago
Other questions:
  • Simplify the expression fraction with numerator of the square root of negative four and denominator of the quantity three plus i
    9·2 answers
  • What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify i
    7·1 answer
  • The television show Green’s Anatomy has been successful for many years. That show recently had a share of 19, meaning that among
    10·1 answer
  • Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
    9·1 answer
  • How to find radius of a cone without knowing the volume
    14·1 answer
  • Hiiio!❤️ Could someone please help me with this question!❤️❤️❤️
    14·1 answer
  • 9x+7/2-(x-(x-2/7) )=36<br>​
    5·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPpp
    14·1 answer
  • Help pls Which expression is equivalent to -9+5−9+5?
    13·2 answers
  • Evaluate the expression when a is -5 and y is 7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!