Sarah and emmaree put on just dance. after school. when they started , it was 4: 45pm and they danced until 5: 30pm how many degrees does the minute hand turn by the time they stop dancing?

4:45 to 5:00 would have the minute hand turn 90 degrees.
The rate is 90 degrees per 15 minutes. Using this, you can add 15+15 to make 30, which, if you do the same for the degrees, is 180 degrees.
From 4:45 to 5:30, the minute hand has to turn (90+180).
The final answer is 270 degrees.