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zysi [14]
3 years ago
7

Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies

.
Part A: How many teenagers surveyed like comedies? Show your work. (4 points)

Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Mathematics
2 answers:
Wittaler [7]3 years ago
4 0

Answer:

Part A: 270 teenagers like comedy because 460 x 0.45 = 270

Part B: 80 teenagers Hannah surveyed because 40 divided by 0.5.

Part C: Suppose you sell bags of popcorn for movies and sell -

10 bags of popcorn in the afternoon.

20 bags of popcorn in the evening.

The number of popcorn you sell in the evening is 200% of the number you sold in the afternoon. It is twenty times as many.

<em>HOPE I HELPED! :3</em>

Irina-Kira [14]3 years ago
3 0

Step-by-step explanation:

A- 207 multiple 460 by 0.45

B- if 50 percent is 40 just multiply 40 by 2 its 80

C suppose you own a hot dog wagon and sell the following:

10 hot dogs in the morning

30 hot dogs in the afternoon

The number of hot dogs you sell in the afternoon is 300% of the number you sold in the morning. It’s three times as many.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
diamong [38]

Answer:

 A-2, B-DNE*, C-3, D-DNE, E-4, F-1

---------------------

The first attachment shows the solutions to A and C.

The second attachment shows the solutions to E and F.

There are no real number solutions to systems B and D.

_____

In general, you can solve the linear equation for y, then substitute that into the quadratic. You can subtract the x-term on the left and complete the square to find the solutions.

A.

 (3-x) +12 = x^2 +x

 15 = x^2 + 2x

 16 = x^2 +2x +1 = (x +1)^2 . . . . add the square of half the x-coefficient to complete the square; next take the square root

 ±4 -1 = x = {-5, 3) . . . . . identifies the second solution set for system A

__

B.

 (x -1) -15 = x^2 +4x

 -16 = x^2 +3x

 -13.75 = x^2 +3x +2.25 = (x +1.5)^2

roots are complex: -1.5 ±i√13.75

__

C.

 (1-2x) +5 = x^2 -3x

 6 = x^2 -x

 6.25 = x^2 -x + .25 = (x -.5)^2

 ±2.5 +.5 = x = {-2, 3} . . . . . identifies the third solution set for system C

__

remaining problems are done in a similar way.

_____

* DNE = does not exist. There is no matching solution set for the complex numbers that are the solutions to this.

---------------------

<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------

<em><u>With all care,</u></em>

<em><u>07x12!</u></em>

4 0
3 years ago
Find the volume of this sphere. Round to the nearest tenth.<br><br>plz help me!!!​
raketka [301]

Answer:

523.6 cm^3

Step-by-step explanation:

We know the diameter is 10. The radius is half the diameter, so 10/2=5.

Knowing the radius is 5, we just need to plug it into the formula.

Volume=(4/3)pi5^3

≈523.6

Answer:523.6 cm^3

3 0
3 years ago
What are the roots of 12x = 9 + 5x2?
marusya05 [52]
Minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x=

given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1 

3 0
3 years ago
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p
Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0
3 years ago
Hey guys!
GaryK [48]

The value of c from the given expression is -

<h3>Function and values</h3>

Given the following function

c(n)= −c(n−1)+1

Given the following parameters

c(1)=3

Substitute

3 = −c(3−1)+1

3 = -2c + 1

-2c = 3-1

-2c = 2

c = -1

Hence the value of c from the given expression is -1

Learn more on equation here: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
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