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zimovet [89]
4 years ago
11

What percentage of the mile times range from 7.25 to 9.375?

Mathematics
1 answer:
Step2247 [10]4 years ago
8 0

1. We assume, that the number 9.375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 9.375 is 100%, so we can write it down as 9.375=100%.

4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.

5. Now we have two simple equations:

1) 9.375=100%

2) x=7.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

9.375/x=100%/7.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.25% of 9.375

9.375/x=100/7.25

(9.375/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x

9.375=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x

9.375/13.793103448276=x

0.6796875=x

x=0.6796875

now we have:

7.25% of 9.375=0.6796875

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Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
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We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

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∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

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∴ n = 175

- That means he moves 175 steps per minute

∵ The distance he walks in minute = 175 × 0.8 = 140 meters/minute

∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

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- Divide the meters by 1000 and the minute by 60 to change

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∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

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