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. To make it easier to work with, we'll convert this mixed number into an improper fraction or a decimal.
The mixed number [tex]\( 11 \frac{1}{2} \)[/tex] can be written as a decimal:
[tex]\[ 11 \frac{1}{2} = 11 + \frac{1}{2} = 11 + 0.5 = 11.5 \][/tex]
So, Hector exercises a total of 11.5 hours over 4 weeks.
Next, we need to find out how many hours he exercises per week. To do this, we'll divide the total number of hours by the number of weeks.
[tex]\[ \text{Hours per week} = \frac{\text{Total hours}}{\text{Number of weeks}} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Now, let's perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
In conclusion, Hector exercises [tex]\( 2.875 \)[/tex] 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. To make it easier to work with, we'll convert this mixed number into an improper fraction or a decimal.
The mixed number [tex]\( 11 \frac{1}{2} \)[/tex] can be written as a decimal:
[tex]\[ 11 \frac{1}{2} = 11 + \frac{1}{2} = 11 + 0.5 = 11.5 \][/tex]
So, Hector exercises a total of 11.5 hours over 4 weeks.
Next, we need to find out how many hours he exercises per week. To do this, we'll divide the total number of hours by the number of weeks.
[tex]\[ \text{Hours per week} = \frac{\text{Total hours}}{\text{Number of weeks}} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Now, let's perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
In conclusion, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
