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
Mrac [35]
3 years ago
5

A football stadium contain 80% of its full capacity of spectators for a grand final match. At the end of the game, spectators le

ave the ground through various exits at the rate of 5 spectators per seconds. After 20 minutes the stadium contain 60% of its full capacity of spectators.
A. Calculate the full capacity of the stadium
B. How many spectators will be in the stadium 1 hour after the end of the game?
Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0

Answer:

A. 30000

B. 12000

Step-by-step explanation:

Find out how much spectators leave in 1 minute.

1 second = 5

1 minute = 5 x 60 = 300 (60 seconds)

20 minutes = 300 x 20 = 6000

Since there were only 80% of the full capacity of spectators and after minutes it became 60%...

80% - 60% = 20%

20% = 6000

1% = 6000 ÷ 20 = 300

100% = 300 x 100 = 30000

1 minute = 300 spectators leaving

1 hour = 300 x 60 = 18000 (60 minutes)

30000 - 18000 = 12000

You might be interested in
X+1/2y=4<br> Solve the equation for Y
AysviL [449]

Answer:8/1

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

4 0
3 years ago
Read 2 more answers
20) Find the volume of a sphere with a diameter of 8.
weqwewe [10]

Answer:

C) 256/3 pi

Step-by-step explanation:

Volume of a sphere is 4/3 × pi × r^3

The radius is half the diameter = 4

\frac{4 \pi \times  {4}^{3} }{3}  \\  =  \frac{4 (64)\pi}{3}  \\  =  \frac{256\pi}{3}

3 0
3 years ago
An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d fr
Vladimir79 [104]

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

<h3>What is simple harmonic motion?</h3>

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

\rm d = 6sin(\dfrac{\pi}{4}t)-6

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Learn more about the simple harmonic motion here:

brainly.com/question/17315536

#SPJ1

4 0
3 years ago
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 24 ft wide. If
garik1379 [7]

Step-by-step explanation:

<em>First, find the perimeter of the rectangle;</em>

1) perimeter = 2length + 2 width

2) 2(31) + 2 (24) = 110ft

<em>Second, find the circumference of the circle;</em>

1) C = 2πr

2) Since the rectangle is joined to the semicircle, we can assume the diameter is equal the width (or length) of the rectangle. The radius (r) is half of the diameter. (length: r = 15.5 or width: r = 12)

So, C = 2(3.14)(15.5) = 97.32ft

or

C =  2(3.14)(12) = 75.36ft

Since it is a semicircle, we only need half of its circumference.

97.32 / 2 = 48.66

75.36 / 2 = 37.68

<em>Finally, we are going to add up our values;</em>

1) If the semicircle is on the length of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-31) + 48.66 = 127.66ft

2) If the semicircle is on the width of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-24) + 37.68 = 123.68ft

3 0
3 years ago
3)
Leni [432]

\longrightarrow{\green{  x\:=\:12}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

(x - 9) \frac{2}{3}  = 2

➺ \: (x - 9) = 2 \times  \frac{3}{2}

➺ \: x =  3 + 9

➺ \: x = 12

Therefore, the value of x is 12.

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

(x - 9) \frac{2}{ 3}  = 2

➺ \: (12 - 9) \frac{2}{3}  = 2

➺ \: 3 \times  \frac{2}{3}  = 2

➺ \: 2 = 2

➺ \: L.H.S.=R. H. S

Hence verified.

\huge\bf\purple{*Mystique 35♡༉}

6 0
3 years ago
Other questions:
  • What is the probability of 15 people having the same birthday
    9·1 answer
  • The slope of the tangent to a curve at any point (x, y) on the curve is -x/y. Find the equation of the curve if the point (3, −4
    10·2 answers
  • Help lol as soon as possible
    9·1 answer
  • Question 1 (1 point) For the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10 what is the mean?​
    11·1 answer
  • A slice is made perpendicular to the base of a right rectangular prism, as shown in the figure.
    6·1 answer
  • Math question plzz help i’ll give you brainliest
    5·1 answer
  • Can someone help me with this question thanks (:
    5·2 answers
  • What is z in 3z - 18 = - 6
    7·2 answers
  • A department store buys 400 shirts at a cost of $7 200 and sells them at a selling
    10·1 answer
  • Which products result in a difference of squares? Check all that apply.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!