on a typical day, the bowling ball juggler spends 1/2 of his time stretching his fingers, and 1/5 of his time nursing his smashed toes. if he spends a total of 7 hours on these two activities, how many hours does he usually work each day?
Let's start by finding the amount of time the bowling ball juggler spends stretching his fingers. Since he spends 1/2 of his time on this activity, he spends (1/2) * 7 hours = <<1/2*7=3.5>>3.5 hours stretching his fingers.
Next, we'll find the amount of time he spends nursing his smashed toes. Since he spends 1/5 of his time on this activity, he spends (1/5) * 7 hours = <<1/5*7=1.4>>1.4 hours nursing his smashed toes.
To find the amount of time he works each day, we'll subtract the time spent on stretching his fingers and nursing his smashed toes from the total time spent on these activities: 7 hours - 3.5 hours - 1.4 hours = <<7-3.5-1.4=2.1>>2.1 hours. Answer: \boxed{2.1}.