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Answer :
To find the total number of seconds Jim's playlist will play, we need to follow these steps:
1. Calculate the average song length in seconds:
- Each song has an average length of 3.5 minutes.
- Since there are 60 seconds in a minute, we multiply:
[tex]\[
3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds}
\][/tex]
2. Calculate the total playtime in seconds for all songs:
- Jim's library has 1,900 songs.
- Multiply the number of songs by the average length in seconds:
[tex]\[
1900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds}
\][/tex]
3. Express the total playtime in scientific notation:
- We rewrite 399,000 seconds in scientific notation. This can be expressed as:
[tex]\[
3.99 \times 10^5 \text{ seconds}
\][/tex]
Therefore, the total number of seconds the playlist will play, expressed in scientific notation, is [tex]\(3.99 \times 10^5\)[/tex] seconds.
1. Calculate the average song length in seconds:
- Each song has an average length of 3.5 minutes.
- Since there are 60 seconds in a minute, we multiply:
[tex]\[
3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds}
\][/tex]
2. Calculate the total playtime in seconds for all songs:
- Jim's library has 1,900 songs.
- Multiply the number of songs by the average length in seconds:
[tex]\[
1900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds}
\][/tex]
3. Express the total playtime in scientific notation:
- We rewrite 399,000 seconds in scientific notation. This can be expressed as:
[tex]\[
3.99 \times 10^5 \text{ seconds}
\][/tex]
Therefore, the total number of seconds the playlist will play, expressed in scientific notation, is [tex]\(3.99 \times 10^5\)[/tex] seconds.
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