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Drupady [299]
1 year ago
13

Charlotte is driving at 52.7 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4

.99 s. How far has Charlotte traveled in feet during this time
Mathematics
1 answer:
likoan [24]1 year ago
7 0

Answer:

  385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

<h3>Compatible units</h3>

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

  \dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}

<h3>Distance</h3>

The distance traveled is the product of this speed and the time period.

  \dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}

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Answer:

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Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

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Next 3 hours = $20

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If total hours ; x = 5.5 hours

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$25 + $15(5.5 - 1)

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Layota:

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Hours left :

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$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

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= $47.5

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The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b

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