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xz_007 [3.2K]
3 years ago
15

The pie chart below shows how we, as a nation, commute to work. Change each percent to a fraction in lowest

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Answers:

  • Public transit = 1/20
  • Other = 1/25

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

Explanation:

We divide the percentage values over 100 as you have done so for the first two boxes.

Drive alone = 80/100 = 4/5

Car pool = 11/100

----------

For the remaining two boxes, we do the same thing.

Public transit = 5/100 = 1/20

Other = 4/100 = 1/25

-----------

To reduce the fraction 5/100, we divide both parts by the GCF 5

  • 5/5 = 1
  • 100/5 = 20

So that's how 5/100 turns into 1/20

The same idea applies to 4/100 turning into 1/25 (except the GCF is 4 this time).

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A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi
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Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

TotalMiles=16.2+24.6+45.1=85.9

Now the percentages:

At 57 mi/h were \frac{16.2}{85.9}=0.19

At 44 mi/h were \frac{24.6}{85.9}=0.29

At 37.8 mi/h were \frac{45.1}{85.9}=0.52

Now multiplying the speed by the portion and summing them we can have the average velocity:

57*0.19+44*0.29+37.8*0.52=43.25

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Answer:

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