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My name is Ann [436]
3 years ago
9

Shelly biked 21 miles in 4 hours. What is shellys average speed in miles per hour? At the same rate how many hours will it take

Shelly to bike 42 miles?
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:  The average speed of Shelly is 5.25 miles per hour and she takes 8 hours to bike 42 miles.

Step-by-step explanation:  Given that Shelly biked 21 miles in 4 hours.

We are to find the average speed of Shelly in miles per hour. Also, to find the number of hours that Shelly take to bike 42 miles.

We will be using the UNITARY method to solve the problem.

Number of miles biked by Shelly in 4 hours = 21 miles.

So, number of miles biked by Shelly in 1 hour will be

\dfrac{21}{4}=5.25~\textup{miles}.

Now, number of hours Shelly take to bike 5.25 miles = 1 hour.

So, number of hours Shelly take to bike 1 mile will be

\dfrac{1}{5.25}~\textup{hours}.

Therefore, number of hours Shelly take to bike 42 miles is given by

\dfrac{1}{5.25}\times42=8~\textup{hours}.

Thus, the average speed of Shelly is 5.25 miles per hour and she takes 8 hours to bike 42 miles.

tekilochka [14]3 years ago
6 0
21 divide by 4 is 5.25. She travels 5.25 miles per hour.  42 divide by 5.25 is 8. It would take 8 hours for Shelly to bike 42 miles.
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Solve the inequality<br> 7+7(x+4)&gt;21
Kryger [21]

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

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8 0
2 years ago
Urgent
Damm [24]

The result of our calculations about the rate and time are:

  • r=d/t
  • 200000m/hr
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<h3>What is rate?</h3>

Rate can be regarded as the given object with respect to time.

falcon flies= 800,000 meters

t= 4 hours

We were given the  formula as (d = rt)

d= distance

r = rate

t = time

We can make our calculations as:

part a:

r=d/t

part b:

falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr

part c:

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km/hr

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4 0
2 years ago
A manager in a call center needs to determine how many agents to schedule next week.
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Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

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Option B

⇒35 ×7×20+17×7×7

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Option C

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Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

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