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Answer :
Let's solve the problem step by step.
1. Determine the distance jogged each day:
- You jog [tex]\(6 \frac{2}{3}\)[/tex] miles around a track each day.
To convert this mixed number into an improper fraction or a decimal, we can use the following process:
[tex]\(6 \frac{2}{3} = 6 + \frac{2}{3} \)[/tex].
Now, converting [tex]\(\frac{2}{3}\)[/tex] to a decimal:
[tex]\(\frac{2}{3} \approx 0.6667\)[/tex].
So,
[tex]\(6 \frac{2}{3} = 6 + 0.6667 = 6.6667\)[/tex].
2. Determine the number of days jogged:
- You jogged this distance for 4 days last week.
3. Calculate the total distance jogged:
- Total distance jogged [tex]\( = \text{distance jogged each day} \times \text{number of days}\)[/tex].
Substituting the values:
[tex]\[
\text{Total distance} = 6.6667 \times 4 = 26.6667.
\][/tex]
Therefore, the total distance you jogged last week is approximately [tex]\(26.67\)[/tex] miles. When looking at the provided choices:
- [tex]\(10 \frac{2}{3}\)[/tex]
- [tex]\(12 \frac{2}{3}\)[/tex]
- [tex]\(24 \frac{2}{3}\)[/tex]
- [tex]\(26 \frac{2}{3}\)[/tex]
The closest option is [tex]\(26 \frac{2}{3}\)[/tex] miles. Hence, the total distance jogged last week is [tex]\(26 \frac{2}{3}\)[/tex] miles.
1. Determine the distance jogged each day:
- You jog [tex]\(6 \frac{2}{3}\)[/tex] miles around a track each day.
To convert this mixed number into an improper fraction or a decimal, we can use the following process:
[tex]\(6 \frac{2}{3} = 6 + \frac{2}{3} \)[/tex].
Now, converting [tex]\(\frac{2}{3}\)[/tex] to a decimal:
[tex]\(\frac{2}{3} \approx 0.6667\)[/tex].
So,
[tex]\(6 \frac{2}{3} = 6 + 0.6667 = 6.6667\)[/tex].
2. Determine the number of days jogged:
- You jogged this distance for 4 days last week.
3. Calculate the total distance jogged:
- Total distance jogged [tex]\( = \text{distance jogged each day} \times \text{number of days}\)[/tex].
Substituting the values:
[tex]\[
\text{Total distance} = 6.6667 \times 4 = 26.6667.
\][/tex]
Therefore, the total distance you jogged last week is approximately [tex]\(26.67\)[/tex] miles. When looking at the provided choices:
- [tex]\(10 \frac{2}{3}\)[/tex]
- [tex]\(12 \frac{2}{3}\)[/tex]
- [tex]\(24 \frac{2}{3}\)[/tex]
- [tex]\(26 \frac{2}{3}\)[/tex]
The closest option is [tex]\(26 \frac{2}{3}\)[/tex] miles. Hence, the total distance jogged last week is [tex]\(26 \frac{2}{3}\)[/tex] miles.
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