Let's first find the speed Sue can run at in miles per hour.
Sue runs 1/6 mile in 1/10 hour.
To find the speed (the unit rate) we divide the distance by the time.
Sue's speed = (1/6 mile)/(1/10 hour) = 1/6 * 10/1 miles/hour = 10/6 miles/hour = 5/3 miles/hour
Bill's speed is 1/4 of Sue's speed, so we divide Sue's speed by 4 to find Bill's speed.
Bill's speed = (5/3 mph)/4 = (5/3 mph) * 1/4 = 5/12 mph
Bill's speed is 5/12 miles per hour.
Bill can run 5/12 of a mile in an hour.
30 minutes is half an hour, so in half an hour, he runs half of 5/12 of a mile.
Answer: Bill can run 5/24 of a mile in 30 minutes.
Answer:
First, let me rewrite the problem as I see it:
Step-by-step explanation:
8c(2) - c + 3 + 2(c + 2) - c + 2
=
16c + 9
Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
7(h+k)(h+k- 3) if this is the answer you're looking for this is what I got so. Good luck