Question

Jim’s music library on his phone holds 1,900 songs. The songs have an average time of 3.5 minutes. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.(1 point) Responses 3.99×104 seconds 3.99 times 10 superscript 4 baseline seconds 3.99×103 seconds 3.99 times 10 cubed seconds 0.399×106 seconds 0.399 times 10 superscript 6 baseline seconds 3.99×105 seconds

Answer 1

To find the total number of seconds that Jim's music library will play, we first need to calculate the total duration in minutes and then convert that to seconds.

1. Calculate the total duration in minutes: \[ \text{Total duration (in minutes)} = \text{Number of songs} \times \text{Average time per song} \] \[ \text{Total duration (in minutes)} = 1,900 , \text{songs} \times 3.5 , \text{minutes/song} = 6,650 , \text{minutes} \]

2. Convert the total duration from minutes to seconds: There are 60 seconds in a minute, so: \[ \text{Total duration (in seconds)} = \text{Total duration (in minutes)} \times 60 , \text{seconds/minute} \] \[ \text{Total duration (in seconds)} = 6,650 , \text{minutes} \times 60 , \text{seconds/minute} = 399,000 , \text{seconds} \]

3. Now, express 399,000 in scientific notation: \[ 399,000 = 3.99 \times 10^5 \]

Thus, the total number of seconds the playlist will play is \( \mathbf{3.99 \times 10^5} , \text{seconds} \).