Answer :
Sure, let's solve each part step by step using the provided information:
1. Convert 2 years to days:
- We know there are 365 days in a year.
- Therefore, the number of days in 2 years is:
[tex]\[ 2 \text{ years} = 2 \times 365 = 730 \text{ days} \][/tex]
2. Convert 540 minutes to hours:
- We know there are 60 minutes in an hour.
- To convert 540 minutes to hours, we divide by the number of minutes in an hour:
[tex]\[ 540 \text{ minutes} = \frac{540}{60} = 9 \text{ hours} \][/tex]
3. Convert 600 seconds to hours:
- We know there are 3600 seconds in an hour.
- To convert 600 seconds to hours, we divide by the number of seconds in an hour:
[tex]\[ 600 \text{ seconds} = \frac{600}{3600} \approx 0.1667 \text{ hours} \][/tex]
4. Convert 1/2 hour to minutes:
- We know there are 60 minutes in an hour.
- Thus, to find the number of minutes in 1/2 hour, we multiply by the number of minutes in an hour:
[tex]\[ \frac{1}{2} \text{ hour} = 0.5 \times 60 = 30 \text{ minutes} \][/tex]
5. Convert 11/2 minutes to minutes (should remain unchanged):
- To confirm, we calculate:
[tex]\[ \frac{11}{2} \text{ minutes} = 5.5 \text{ minutes} \][/tex]
6. Convert 2 hours 45 minutes to minutes:
- We need to convert the total time to minutes. First, convert 2 hours to minutes:
[tex]\[ 2 \text{ hours} = 2 \times 60 = 120 \text{ minutes} \][/tex]
- Then, add the additional 45 minutes:
[tex]\[ 120 \text{ minutes} + 45 \text{ minutes} = 165 \text{ minutes} \][/tex]
Summarizing all the results:
1. \( 2 \text{ years} = 730 \text{ days} \)
2. \( 540 \text{ minutes} = 9 \text{ hours} \)
3. \( 600 \text{ seconds} \approx 0.1667 \text{ hours} \)
4. \( \frac{1}{2} \text{ hour} = 30 \text{ minutes} \)
5. \( \frac{11}{2} \text{ minutes} = 5.5 \text{ minutes} \)
6. [tex]\( 2 \text{ hours } 45 \text{ minutes} = 165 \text{ minutes} \)[/tex]
1. Convert 2 years to days:
- We know there are 365 days in a year.
- Therefore, the number of days in 2 years is:
[tex]\[ 2 \text{ years} = 2 \times 365 = 730 \text{ days} \][/tex]
2. Convert 540 minutes to hours:
- We know there are 60 minutes in an hour.
- To convert 540 minutes to hours, we divide by the number of minutes in an hour:
[tex]\[ 540 \text{ minutes} = \frac{540}{60} = 9 \text{ hours} \][/tex]
3. Convert 600 seconds to hours:
- We know there are 3600 seconds in an hour.
- To convert 600 seconds to hours, we divide by the number of seconds in an hour:
[tex]\[ 600 \text{ seconds} = \frac{600}{3600} \approx 0.1667 \text{ hours} \][/tex]
4. Convert 1/2 hour to minutes:
- We know there are 60 minutes in an hour.
- Thus, to find the number of minutes in 1/2 hour, we multiply by the number of minutes in an hour:
[tex]\[ \frac{1}{2} \text{ hour} = 0.5 \times 60 = 30 \text{ minutes} \][/tex]
5. Convert 11/2 minutes to minutes (should remain unchanged):
- To confirm, we calculate:
[tex]\[ \frac{11}{2} \text{ minutes} = 5.5 \text{ minutes} \][/tex]
6. Convert 2 hours 45 minutes to minutes:
- We need to convert the total time to minutes. First, convert 2 hours to minutes:
[tex]\[ 2 \text{ hours} = 2 \times 60 = 120 \text{ minutes} \][/tex]
- Then, add the additional 45 minutes:
[tex]\[ 120 \text{ minutes} + 45 \text{ minutes} = 165 \text{ minutes} \][/tex]
Summarizing all the results:
1. \( 2 \text{ years} = 730 \text{ days} \)
2. \( 540 \text{ minutes} = 9 \text{ hours} \)
3. \( 600 \text{ seconds} \approx 0.1667 \text{ hours} \)
4. \( \frac{1}{2} \text{ hour} = 30 \text{ minutes} \)
5. \( \frac{11}{2} \text{ minutes} = 5.5 \text{ minutes} \)
6. [tex]\( 2 \text{ hours } 45 \text{ minutes} = 165 \text{ minutes} \)[/tex]
