Answer:
There were 20 tables reserved. 1/10 is equivalent to 10%. To find 10%, divide the total number of tables by 10. 200/10 = 20.
Step-by-step explanation:
Answer: B
The correct second step for the given proof is;
![\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ and\text{;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%20r%5E%7B%5Cprime%7D%7D%20%5C%5C%20and%5Ctext%7B%3B%7D%20%5C%5C%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7Br%7D%7Br%5E%7B%5Cprime%7D%7D%20%5Cend%7Bgathered%7D)
by the division property of equality.
Explanation:
We want to find the correct second step for the given proof.
Recall that from division property of equality, when we have;
a=b and c=d, dividing the equations by each other, the equation will still be equal;
![\frac{a}{c}=\frac{b}{d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bc%7D%3D%5Cfrac%7Bb%7D%7Bd%7D)
For the given Prove;
statement 1 states that the circumference circle 1 and 2 can be expressed as;
![\begin{gathered} C=2\pi r \\ \text{and} \\ C^{\prime}=2\pi r^{\prime} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20C%3D2%5Cpi%20r%20%5C%5C%20%5Ctext%7Band%7D%20%5C%5C%20C%5E%7B%5Cprime%7D%3D2%5Cpi%20r%5E%7B%5Cprime%7D%20%5Cend%7Bgathered%7D)
So, for step 2;
Applying the division property of equality, we have;
![\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ \text{which then equals;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%20r%5E%7B%5Cprime%7D%7D%20%5C%5C%20%5Ctext%7Bwhich%20then%20equals%3B%7D%20%5C%5C%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7Br%7D%7Br%5E%7B%5Cprime%7D%7D%20%5Cend%7Bgathered%7D)
Therefore, the correct second step for the given proof is;
![\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ and\text{;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7B2%5Cpi%20r%7D%7B2%5Cpi%20r%5E%7B%5Cprime%7D%7D%20%5C%5C%20and%5Ctext%7B%3B%7D%20%5C%5C%20%5Cfrac%7BC%7D%7BC%5E%7B%5Cprime%7D%7D%3D%5Cfrac%7Br%7D%7Br%5E%7B%5Cprime%7D%7D%20%5Cend%7Bgathered%7D)
by the division property of equality.
Answer:
Marcus ran at a pace of 7.40 miles an hour
Joseph was running at a pace of 7.43 miles an hour
Harper was running at a speed of 7.06 miles an hour
And Nikki was running at a speed of 6.42 miles an hour
Step-by-step explanation: The fastest per mile would be joseph because he was running the fastest MPH