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Jim's music library on his phone holds 1,900 songs, and the songs have an average time of 3.5 minutes each. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.

A. [tex]3.99 \times 10^5[/tex] seconds
B. [tex]3.99 \times 10^4[/tex] seconds
C. [tex]3.99 \times 10^3[/tex] seconds
D. [tex]0.399 \times 10^6[/tex] seconds

Answer :

To find the total number of seconds Jim's playlist will play, we can follow these steps:

1. Understand the given information:
- Jim's music library holds 1,900 songs.
- Each song has an average time of 3.5 minutes.

2. Convert the average time of each song to seconds:
- Since there are 60 seconds in a minute, multiply the average time in minutes by 60 to convert it to seconds:
[tex]\[
3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds}
\][/tex]

3. Calculate the total number of seconds for all songs:
- Multiply the total number of songs by the average time per song in seconds:
[tex]\[
1,900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds}
\][/tex]

4. Express the total time in scientific notation:
- In scientific notation, [tex]\(399,000\)[/tex] can be expressed as [tex]\(3.99 \times 10^5\)[/tex] seconds.

Therefore, the total number of seconds the playlist will play is [tex]\(3.99 \times 10^5\)[/tex] seconds.

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