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 3.99×10^4 seconds 3.99 times 10 superscript 4 baseline seconds 0.399×10^6 seconds 0.399 times 10 superscript 6 baseline seconds 3.99×10^3 seconds 3.99 times 10 cubed seconds 3.99×10^5 seconds

Answer 1

To find the total number of seconds Jim's playlist will play, we start with the following information:

• Number of songs: 1,900
• Average time per song: 3.5 minutes

First, we need to convert the average time from minutes to seconds. Since there are 60 seconds in a minute:

\[ 3.5 \text{ minutes} \times 60 \text{ seconds/minute} = 210 \text{ seconds} \]

Now, we can calculate the total playback time by multiplying the number of songs by the average time in seconds:

\[ 1,900 \text{ songs} \times 210 \text{ seconds/song} = 399,000 \text{ seconds} \]

Now, we can express 399,000 in scientific notation. To write it in scientific notation, we move the decimal point five places to the left:

\[ 399,000 = 3.99 \times 10^5 \]

So, the total number of seconds the playlist will play is:

\[ 3.99 \times 10^5 \text{ seconds} \]

Thus, the correct response is \( \text{3.99} \times 10^5 \text{ seconds} \).