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)

Question 3 options:

Answers

Answer 1

Answer with step-by-step explanation:

A: 207

We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.

B. 80 teenagers

We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.

C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.

Answer 2

The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,

(a) Calculate the number of teenagers who like comedy as shown below,

The number of teenagers who like comedy = 45 × 460 / 100

The number of teenagers who like comedy = 207

(b) Calculate the total number of teenagers as shown below,

The total number of teenagers × 50% = 40

The total number of teenagers = 40 × 100 / 40

The total number of teenagers = 100

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Related Questions

Prove that
sin 75-sin 15=cos 105+cos 15​

Answers

Answer:

 

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Help help help help hep

Answers

Answer:

Yes

Step-by-step explanation:

Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=

Answers

[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]

[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]

which of the following are needed to make an expression?
a- equal sign
b-number(s)
c-operation(s)
d-variable(s)

Answers

Answer:

Truly, it's all of the above!

Employee only meals
Meals with clients
Total meals expensed must not exceed allowed expenses based on given rates

Answers

Answer:

50 percent the cost of meals

132.16 divided by 16

Answers

Answer: 8.26

Step-by-step explanation:

Should I Explain How I got it?

132.16 divided by 16 is equal to 8.26.

Here, we have,

given that,

132.16 divided by 16

so, we have, 132.16 ÷ 16

To find the quotient of 132.16 divided by 16,

we can perform long division:

    8.26

____________

16 | 132.16

112

____________

20

Therefore, 132.16 divided by 16 is equal to 8.26.

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Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?

Answers

Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Answers

Answer:

60 yards

Step-by-step explanation:

300 = 2(30 + w) + 2(w)

300 = 60 +2w + 2w

300 = 60 + 4w

240 = 4w

60 = w

Find the equation of the line.

Answers

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8​

Answers

Answer:

c 146.7

Step-by-step explanation:

cuz

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior

19) alternate interior

factorise this
12a²+20a​

Answers

Answer:

4a(3a+5)

We take H.C.F of both number and the variables then we compare the HCF number and variable with our question and equate and write the answer about how much should be multiplied from the H.C.F answer to get the question.

4a(3a+5)
3a+5=0
3a=-5
a=-5/3

What do you add to 17/4 to make 5?

Answers

The number that can be added to 17/4 to make 5 is 3/4

How to add fractions

Given

Add to 17/4 to make 5

let

x = number added

x + 17/4 = 5

x = 5 - 17/4

x = (20-17) / 4

x = 3/4

Learn more about fraction:

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A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?

Answers

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

what is the answer when you multiply 5.30 one by 5.02​

Answers

Answer:

I think is there answer is 26.606

PLS HELPPPPP!!!!!!!!

Answers

Answer:

not even bill nye could solve this

solve for w: 35=0.35 x w

Answers

Answer:

w=100

Step-by-step explanation:

Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35

Please help me!! I don't understand
No linksssss

Answers

Answer:

thanks haahhahahaha

Step-by-step explanation:

Which graph shows Point P as (–5,6) and Point Q as (3,–4)?

Answers

hich graph shows Point P as (–5,6) and Point Q as (3,–4)?

TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!

Answers

Answer:

d x 7 = 105

Step-by-step explanation:

This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?

Answers

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

Which is equivalent to vg*
Og
O 78%
12784
8 4x

Answers

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]

In this case, we have ...

  [tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]

Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)

Answers

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

ANSWER: ? = 5
Ok done. Thank to me :>

5x + y = 11
3x − y = 9

Answers

Answer:

x = 5/2y = -1.5

Step-by-step explanation:

5x + y = 11

        3x − y = 9

=> 5x + y = 11

           +3x − y = +9

=> 8x = 20

=> x = 20/8

=> x = 5/2

=> 5(5/2) + y = 11

=> 25/2 + y = 11

=> 12.5 + y = 11

=> y = 11 - 12.5

=> y = -1.5

Therefore, the answers are:

x = 5/2y = -1.5

Hoped this helped.

[tex]BrainaicUser1357[/tex]

Need help asap algebra 1

Answers

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?

Step 1: x^2 - 12x = -6

Step 2: x^2 - 12x + 36= -6 + 36

Answers

Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:

x^2 + bx + (b/2)^2 = c + (b/2)^2

Now let’s solve the equation above using this method.

Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2

Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2

Step 3: x^2 - 12x + 36 = -6 + 36

Step 4: x^2 - 12x + 36 = 30

Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2

Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2

Step 6: (x - 6)^2 = 30

Step 7: x - 6 = √30

Step 8: x = 6 ±√30

Ashley completes 3 homework assignments in 50 minutes. At this rate, how many minutes will it take her to complete 9 homework assignments?

Answers

Answer:

144

Step-by-step explanation:

divide 50 by 3 and then multiply by 9

Explanation=3=50 mins

9=150

150=9000 minutes

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

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