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Convert the following time units to seconds: a) 27 minutes, b) 2 hours, c) 45 minutes.

Mathematics

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Answers

4 parts
a

1620 seconds\text{1620 seconds}

b

7200 seconds\text{7200 seconds}

c

2700 seconds\text{2700 seconds}

d

600 seconds\text{600 seconds}

Step-by-step solution

8 steps

Here are the conversions:

Part a· 2 steps

Convert 27 minutes to seconds.

  1. Recall the conversion factor for minutes to seconds.

    1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}
  2. Multiply the given minutes by the conversion factor.

    27 minutes×60 seconds1 minute=27×60 seconds27 \text{ minutes} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 27 \times 60 \text{ seconds} 27×60=1620 seconds27 \times 60 = 1620 \text{ seconds}

    The conversion of 27 minutes to seconds is:

    1620 seconds\boxed{\text{1620 seconds}}

Part b

7200 seconds\text{7200 seconds}

Convert 2 hours to seconds.

  1. Recall the conversion factors for hours to minutes and minutes to seconds.

    1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes} 1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}
  2. Convert hours to minutes, then minutes to seconds.

    2 hours×60 minutes1 hour=120 minutes2 \text{ hours} \times \frac{60 \text{ minutes}}{1 \text{ hour}} = 120 \text{ minutes} 120 minutes×60 seconds1 minute=120×60 seconds120 \text{ minutes} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 120 \times 60 \text{ seconds} 120×60=7200 seconds120 \times 60 = 7200 \text{ seconds}

    The conversion of 2 hours to seconds is:

    7200 seconds\boxed{\text{7200 seconds}}

Part c

2700 seconds\text{2700 seconds}

Convert 45 minutes to seconds.

  1. Recall the conversion factor for minutes to seconds.

    1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}
  2. Multiply the given minutes by the conversion factor.

    45 minutes×60 seconds1 minute=45×60 seconds45 \text{ minutes} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 45 \times 60 \text{ seconds} 45×60=2700 seconds45 \times 60 = 2700 \text{ seconds}

    The conversion of 45 minutes to seconds is:

    2700 seconds\boxed{\text{2700 seconds}}

Part d

600 seconds\text{600 seconds}

Convert 10 minutes to seconds.

  1. Recall the conversion factor for minutes to seconds.

    1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}
  2. Multiply the given minutes by the conversion factor.

    10 minutes×60 seconds1 minute=10×60 seconds10 \text{ minutes} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 10 \times 60 \text{ seconds} 10×60=600 seconds10 \times 60 = 600 \text{ seconds}

    The conversion of 10 minutes to seconds is:

    600 seconds\boxed{\text{600 seconds}}
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