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**Homework: Gale's Icons**
**March 16, 2025**

1. How many seconds are there in 5 minutes?
2. How many hours and minutes are there in 85 minutes?
3. What are 240 minutes in hours?
4. How many minutes and seconds are there in 100 seconds?
5. What is 600 minutes in hours?
6. How many minutes are there in two seconds?
7. What are 45 minutes in hours and minutes?
8. How many seconds are there in 1 hour?
9. How many hours are there in 5 days?

Answer :

Sure! Let's solve each part of the homework step-by-step:

1. How many seconds are there in 5 minutes?

To find the number of seconds in 5 minutes, multiply the number of minutes by 60 (since there are 60 seconds in a minute):

[tex]\[
5 \times 60 = 300 \text{ seconds}
\][/tex]

2. How many hours and minutes are there in 85 minutes?

To convert 85 minutes to hours and minutes, divide the total minutes by 60 because there are 60 minutes in an hour:

- Hours: [tex]\( \lfloor \frac{85}{60} \rfloor = 1 \)[/tex] hour
- Remaining minutes: [tex]\( 85 - (1 \times 60) = 25 \)[/tex] minutes

So, 85 minutes is equal to 1 hour and 25 minutes.

3. What are 240 minutes in hours?

To convert 240 minutes to hours, divide by 60:

[tex]\[
\frac{240}{60} = 4 \text{ hours}
\][/tex]

4. How many minutes and seconds are there in 100 seconds?

To find the minutes and remaining seconds, divide 100 by 60:

- Minutes: [tex]\( \lfloor \frac{100}{60} \rfloor = 1 \)[/tex] minute
- Remaining seconds: [tex]\( 100 - (1 \times 60) = 40 \)[/tex] seconds

So, 100 seconds is equal to 1 minute and 40 seconds.

5. What is 600 minutes in hours?

To convert 600 minutes to hours, divide by 60:

[tex]\[
\frac{600}{60} = 10 \text{ hours}
\][/tex]

6. How many minutes are there in two seconds?

Since one minute is 60 seconds, you convert seconds to minutes like this:

[tex]\[
\frac{2}{60} = 0.0333\ldots \text{ minutes}
\][/tex]

7. What are 45 minutes in hours?

To convert 45 minutes to hours, divide by 60:

[tex]\[
\frac{45}{60} = 0.75 \text{ hours}
\][/tex]

8. How many seconds are there in 1 hour?

Since there are 60 minutes in an hour and 60 seconds in a minute:

[tex]\[
60 \times 60 = 3600 \text{ seconds}
\][/tex]

9. How many hours are there in 5 days?

Since there are 24 hours in a day, multiply the number of days by 24:

[tex]\[
5 \times 24 = 120 \text{ hours}
\][/tex]

I hope this helps! Let me know if you have further questions.

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