This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions for Practice exercise 2: 1. 360 minutes = 6 hours Step 1: Convert minutes to hours using the conversion factor 1 hour = 60 minutes. 360 minutes × 1 hour60 minutes = (360)/(60) hours = 6 hours 2. 120 seconds = 2 minutes Step 1: Convert seconds to minutes using the conversion factor 1 minute = 60 seconds. 120 seconds × 1 minute60 seconds = (120)/(60) minutes = 2 minutes 3. 10 minutes = 600 seconds Step 1: Convert minutes to seconds using the conversion factor 1 minute = 60 seconds. 10 minutes × 60 seconds1 minute = 10 × 60 seconds = 600 seconds 4. 3 hours = 180 minutes Step 1: Convert hours to minutes using the conversion factor 1 hour = 60 minutes. 3 hours × 60 minutes1 hour = 3 × 60 minutes = 180 minutes 5. 4 days = 96 hours Step 1: Convert days to hours using the conversion factor 1 day = 24 hours. 4 days × 24 hours1 day = 4 × 24 hours = 96 hours 6. 3 weeks = 21 days Step 1: Convert weeks to days using the conversion factor 1 week = 7 days. 3 weeks × 7 days1 week = 3 × 7 days = 21 days 7. 1 hour = 3 600 seconds Step 1: Convert seconds to hours using the conversion factor 1 hour = 3600 seconds. 3600 seconds × 1 hour3600 seconds = (3600)/(3600) hours = 1 hour 8. 72 hours = 3 days Step 1: Convert hours to days using the conversion factor 1 day = 24 hours. 72 hours × 1 day24 hours = (72)/(24) days = 3 days 9. 2(1)/(2) years = 30 months Step 1: Convert the mixed number to a decimal. 2(1)/(2) years = 2.5 years Step 2: Convert years to months using the conversion factor 1 year = 12 months. 2.5 years × 12 months1 year = 2.5 × 12 months = 30 months 10. 48 months = 4 years Step 1: Convert months to years using the conversion factor 1 year = 12 months. 48 months × 1 year12 months = (48)/(12) years = 4 years 11. 2 decades = 20 years Step 1: Convert decades to years using the conversion factor 1 decade = 10 years. 2 decades × 10 years1 decade = 2 × 10 years = 20 years 12. 20 years = 2 decades Step 1: Convert years to decades using the conversion factor 1 decade = 10 years. 20 years × 1 decade10 years = (20)/(10) decades = 2 decades 13. 200 years = 2 centuries Step 1: Convert years to centuries using the conversion factor 1 century = 100 years. 200 years × 1 century100 years = (200)/(100) centuries = 2 centuries 14. How many minutes are there in 1(1)/(2) hours? Step 1: Convert the mixed number to a decimal. 1(1)/(2) hours = 1.5 hours Step 2: Convert hours to minutes using the conversion factor 1 hour = 60 minutes. 1.5 hours × 60 minutes1 hour = 1.5 × 60 minutes = 90 minutes 15. If a movie lasts 2 hours and 45 minutes, how many minutes long is it? Step 1: Convert the hours to minutes. 2 hours × 60 minutes1 hour = 120 minutes Step 2: Add the remaining minutes to the converted hours. 120 minutes + 45 minutes = 165 minutes Drop the next question!