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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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7x - 6 = -34

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LaTanya will walk (3 mi/hr) her bike from her house to the
Ostrovityanka [42]

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1.15 hr

Step-by-step explanation:

Given that:

To get bike fixed :

Speed = 3 miles per hour

Distance = 1.5 miles

Time taken = distance / speed

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Return home :

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Distance = 1.5 miles

Time taken = distance / speed

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Total time : (0.5 + 0.5 + 0.15) = 1.15 hr

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what is the expression he wrote?

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Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3
blsea [12.9K]

Option A: \sqrt{75}

Option C: \sqrt{15} \cdot \sqrt{5}

Option F: \sqrt{25} \cdot \sqrt{3}

Solution:

Given expression is 5 \sqrt{3}.

Option A: \sqrt{75}

\sqrt{75}=\sqrt{25\times3}

       =\sqrt{5^2\times3}

       =5\sqrt{3}

Hence \sqrt{75} is equivalent expression of 5 \sqrt{3}.

Option B: \sqrt{45}

\sqrt{45}=\sqrt{9\times5}

       =\sqrt{3^2\times5}

       =3\sqrt{5}

Hence \sqrt{45} is not equivalent expression of 5 \sqrt{3}.

Option C: \sqrt{15} \cdot \sqrt{5}

\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{15} \cdot \sqrt{5} is equivalent expression of 5 \sqrt{3}.

Option D: \sqrt{3} \cdot \sqrt{5}

\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}

            =\sqrt{15}

Hence \sqrt{3} \cdot \sqrt{5} is not equivalent expression of 5 \sqrt{3}.

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of 5 \sqrt{3}.

Option F: \sqrt{25} \cdot \sqrt{3}

\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{25} \cdot \sqrt{3} is equivalent expression of 5 \sqrt{3}.

Therefore, \sqrt{75},\ \  \sqrt{15} \cdot \sqrt{5}, \  \ \sqrt{25} \cdot \sqrt{3} are all equivalent expressions of 5 \sqrt{3}.

6 0
3 years ago
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