jims 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.

3.99 x 10^5 seconds

3.99 x 10^3 seconds

3.99 x 10^4 seconds

0.399 x 10^6 seconds

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To find the total number of seconds the playlist will play, we start by calculating the total playtime in minutes and then convert it to seconds.

  1. Total time in minutes: \[ \text{Total songs} = 1,900 \] \[ \text{Average time per song} = 3.5 \text{ minutes} \] \[ \text{Total playtime in minutes} = 1,900 \times 3.5 = 6,650 \text{ minutes} \]

  2. Convert minutes to seconds: Since there are 60 seconds in a minute, we multiply the total playtime in minutes by 60. \[ \text{Total playtime in seconds} = 6,650 \times 60 = 399,000 \text{ seconds} \]

  3. Express the total in scientific notation: \[ 399,000 = 3.99 \times 10^5 \text{ seconds} \]

Thus, the final answer is: \[ \boxed{3.99 \times 10^5 \text{ seconds}} \]