Final answer:
Wei must remove 6 songs from his playlist to fit into the 2-hour time frame for the school dance, since the entire playlist exceeds the available time by 18 minutes.
Step-by-step explanation:
The question asks how many songs Wei needs to remove from a playlist to fit within a 2-hour time frame assuming each song is 3 minutes long. The school dance lasts from 7 pm to 9 pm, providing 120 minutes of time. By multiplying 46 songs by 3 minutes each, we get a total of 138 minutes required for the entire playlist. However, only 120 minutes are available. Therefore, to find the number of songs to be removed, we subtract the total available minutes from the total minutes required and divide by the length of each song.
Total time available: 2 hours x 60 minutes/hour = 120 minutes
Total time required: 46 songs x 3 minutes/song = 138 minutes
Time to be removed: 138 minutes - 120 minutes = 18 minutes
To determine the number of songs to remove:
Number of songs to remove: 18 minutes ÷ 3 minutes/song = 6 songs
Therefore, the answer is B) 6 songs have to be removed from the playlist.