Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
1 answer:
<h2>
Answer: 2.8 miles</h2>
Step-by-step:
We can write it in the proportion ![\frac{7}{60} = \frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B60%7D%20%3D%20%5Cfrac%7Bx%7D%7B24%7D)
where x is our number of miles trying to find
We now cross multiply or use the butterfly method which I will demonstrate both
<h3>Cross Multiply</h3>
We multiply the numerator with the dominator
so ![7 multiplied by 24](https://tex.z-dn.net/?f=7%20multiplied%20by%2024)
and ![60 multiplied by x](https://tex.z-dn.net/?f=60%20multiplied%20by%20x)
![7*24=60x](https://tex.z-dn.net/?f=7%2A24%3D60x)
![168=60x](https://tex.z-dn.net/?f=168%3D60x)
![\frac{168}{60} =\frac{60x}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B168%7D%7B60%7D%20%3D%5Cfrac%7B60x%7D%7B60%7D)
or ![x=2.8](https://tex.z-dn.net/?f=x%3D2.8)
Now for the
<h3>Butterfly Method </h3>
You would do 7 times 24 divided by 60 or ![\frac{7*24}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2A24%7D%7B60%7D)
Then
simplify
so 2.8 miles in either method
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