Answer: 8, 2 1/6, 50, 90, 7
Step-by-step explanation:
1. Average speed = Distance/Time taken for entire trip
(10 * 3 + 2 * 1)/(3+1) = 32/4 = 8 mph
2. 6 1/4 = 25/4 9 3/8 = 75/8 (75/8)/(25/4) = 3/2
x = 3/2 + 2/3 = 13/6 = 2 1/6
3. Let's say there are x quarters in the collection, there would be 3x nickels, 2x dimes, and x quarters in the collection. The collection would be worth
3x * 5 + 2x * 10 + x * 25 = 300 cents
Solve for x to get x = 50 so there are 50 quarters in the collection
4. Sam has drove 2 * 45 = 90 miles so he has 90 miles remaining. Let's say he has to drive x hours to make his average speed 60 mph, we can use this equation to find how long he has to drive
(90+90)/(x+2) = 60 and x = 1
He has to drive 90 miles/1 hour = 90mph to make his average speed 60 mph.
5. Let's say you have to run x mph to satisfy the requirements, we can use the equation
(1.5*3+0.5*x)/(1.5+0.5) = 4 and x = 7 so you have to run 7 mph in the next 0.5 hours to satisfy the requirements
