Answer :
Sure, let's break down the problem step-by-step to find out how many hours per week Hector exercises.
First, we know that Hector exercises for a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over a 4-week period.
We can convert [tex]\( 11 \frac{1}{2} \)[/tex] hours into an improper fraction or a decimal for easier calculations:
[tex]\[ 11 \frac{1}{2} \text{ hours} = 11 + \frac{1}{2} = 11.5 \text{ hours} \][/tex]
Next, we need to find out how many hours per week this amounts to. To do that, we divide the total number of hours by the number of weeks.
Total number of hours Hector exercises: [tex]\( 11.5 \)[/tex] hours
Number of weeks: [tex]\( 4 \)[/tex] weeks
To find the number of hours Hector exercises each week:
[tex]\[ \text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Now, we perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
Therefore, Hector exercises 2.875 hours per week.
First, we know that Hector exercises for a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over a 4-week period.
We can convert [tex]\( 11 \frac{1}{2} \)[/tex] hours into an improper fraction or a decimal for easier calculations:
[tex]\[ 11 \frac{1}{2} \text{ hours} = 11 + \frac{1}{2} = 11.5 \text{ hours} \][/tex]
Next, we need to find out how many hours per week this amounts to. To do that, we divide the total number of hours by the number of weeks.
Total number of hours Hector exercises: [tex]\( 11.5 \)[/tex] hours
Number of weeks: [tex]\( 4 \)[/tex] weeks
To find the number of hours Hector exercises each week:
[tex]\[ \text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Now, we perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
Therefore, Hector exercises 2.875 hours per week.