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
Sedaia [141]
2 years ago
6

BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

You might be interested in
A party rental company has chairs and tables for rent. The total cost to rent
Tema [17]
2c+5t=43

c=(43-5t)/2

8c+3t=36 and using c found above in this equation gives you:

4(43-5t)+3t=36

172-20t+3t=36

-17t=-136

t=8, and since c=(43-5t)/2

c=1.5

So a table costs $8.00 to rent and a chair costs $1.50
5 0
3 years ago
Write an addition equation and multiplication equation that each have a solution of -5.
Nookie1986 [14]
Kenejsnsnsnsndmdmdmsksmsmsk
4 0
3 years ago
Read 2 more answers
A spinner is divided into 16 sections.3 sections are red 6 are blue 5 are purple and 2 are orange. If you spin the spinner what
Ahat [919]
6/16 or 3/8 because if there are 6 blue out of 16 that it obvious. Please press thank you cuz I hope it helps.
7 0
3 years ago
In the diagram, the radius of the outer circle is 2x cm and
hodyreva [135]

Area shaded = Area big circle- Area of small circle;

200 pi= pi•(2x)^2 -pi•6^2;

200pi= pi•4x^2 -pi•36;

200pi=pi•4(x^2 -9) divide both sides by 4pi;

50=x^2 -9; So x=sqrt(59)~7.68cm

8 0
3 years ago
Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10?
    12·1 answer
  • Answer this please help needed
    5·1 answer
  • An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum o
    13·1 answer
  • What is the volume of the cylinder below?
    7·1 answer
  • Jamie is going to pretend he is a race car and run around the outside of the track from point A to point B
    5·1 answer
  • Please help me out??????​
    14·1 answer
  • Definition of a bisector
    5·1 answer
  • Elsa drove 603 miles in9 hours at the same rate how many miles would she drive in 7 hours
    15·1 answer
  • Please answer it<br>I need it now​
    11·1 answer
  • If a dress costs $27.00 when it’s on sale for 10% off, what is its original cost?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!