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Liula [17]
3 years ago
10

Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard ro

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

Part B: In another survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian 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
1 answer:
almond37 [142]3 years ago
6 0

Answer:

Step-by-step explanation:

A) There are 850 total teens and 32% like rock.

32% of 850 = 0.32*850 = 272 teens like rock

B) 75% of teens = 150 teens. Make total teens = x. 75%x = 150

0.75x = 150

x = 200 teens like pop

C) well...

There are 50 students who bike to school every day and there are 200 students who walk to school every day. According to this information, the number of students who walk to school is 300% more than those who bike to school.

<em>*I hope the last one is what you were looking for... if not, tell me in comments*</em>

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A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge in the painting to the actual length of the br
nekit [7.7K]

Answer:

The ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length.

Step-by-step explanation:

Here is the complete question:

A covered bridge is 8 yards long. In a painting for sale at a​ gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8 Another salesperson says the ratio in simplest form is 5/24 Which ratio is​ correct? What error leads to the incorrect​ ratio?

Step-by-step explanation:

From the question,

A covered bridge is 8 yards long and in a painting at the gallery, the bridge is 5 feet long.

To determine the ratio of the length of the bridge in the painting to the actual length of the bridge,

First, we will convert both lengths to the same unit and then divide the length of the bridge in the painting by the actual length of the bridge.

Convert 8 yards to feet

1 yard = 3 feet

∴ 8 yards = (8 × 3) feet = 24 feet

The actual length of the bridge is 24 feet

The length of the bridge in the painting is 5 feet

Hence, the ratio of the length of the bridge in the painting to the actual length of the bridge is 5 feet ÷ 24 feet = 5/24

Hence, the ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length (that is, not converting both length to the same unit before determining the ratio).

3 0
3 years ago
Find the size of each of 6 payments made at the end of each year into a 6% rate sinking fund which produces $82000 at the end of
Yuri [45]

Answer:

at the end of 1st year we pay $ 11756

at the end of 2nd year we pay $ 24217

at the end of 3rd year we pay $ 37426

at the end of 4th year we pay $ 51427

at the end of 5th year we pay $ 66269

at the end of 6th year we pay $ 82001

Step-by-step explanation:

Given data

rate ( i ) = 6%

Future payment  = $82000

no of time period ( n ) = 6

to find out

size of all of 6 payments

solution

we know future payment formula i.e.

future payment = payment per period ( (1 + rate)^{n} - 1 )   / rate

put all these value and get payment per period

payment per period = future payment × rate  /  ( (1 + rate)^{n} - 1 )   / rate

payment per period = 82000 × 0.06  /  ( (1 + 0.06)^{6} - 1 )   / rate

payment per period = 82000 × 0.06 / 0.4185

payment per period = $ 11756.27

at the end of 1st year we pay $ 11756

and at the end of 2nd year we pay $ 11756 × ( 1  + 0.06) + 11756

and at the end of 2nd year we pay $ 24217

and at the end of 3rd year we pay $ 24217 × ( 1  + 0.06) + 11756

and at the end of 3rd year we pay $ 37426

and at the end of 4th year we pay $ 37426 × ( 1  + 0.06) + 11756

and at the end of 4th year we pay $ 51427

and at the end of 5th year we pay $ 51427 × ( 1  + 0.06) + 11756

and at the end of 5th year we pay $ 66269

and at the end of 6th year we pay $ 66269 × ( 1  + 0.06) + 11756

and at the end of 6th year we pay $ 82001

4 0
4 years ago
What is the correct percent when converting the decimal of 2.1
Alex Ar [27]

Answer:

D. 210%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
32 3/4 take away 12 1/2​
Otrada [13]

Answer:

The answer is 20 and 1/4

7 0
3 years ago
Read 2 more answers
Given m = 2 and the point (-1, 7), which of the following is the point-slope form of the equation?
ANEK [815]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-1, 7) and the slope m = 2. Substitute:

y-7=2(x-(-1))\\\\\boxed{y-7=2(x+1)}\to\boxed{b.}

3 0
3 years ago
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