Question

problem 10
runner a runs 12 miles in 2 hours. runner b runs 18 miles in 3 hours. who is faster?
explain.

problem 11
what is 25% of 80?

problem 12
if a shirt originally costs $40 and is on sale for 20% off, what is the sale price?

problem 13
out of 50 students, 30 prefer basketball. what percentage prefer basketball?

problem 14
water flows from a faucet at a rate of 2 gallons per minute. how many gallons flow in 7 minutes?

Explanation:

Problem 10

Step1: Calculate speed of Runner A

Speed is distance divided by time. For Runner A, distance is 12 miles and time is 2 hours. So speed of A is $\frac{12}{2} = 6$ miles per hour.

Step2: Calculate speed of Runner B

For Runner B, distance is 18 miles and time is 3 hours. So speed of B is $\frac{18}{3} = 6$ miles per hour.

Step3: Compare speeds

Both Runner A and Runner B have a speed of 6 miles per hour. So they are equally fast.

Step1: Convert percentage to decimal

25% is equal to 0.25 in decimal form.

Step2: Multiply by the number

To find 25% of 80, we multiply 0.25 by 80. So $0.25\times80 = 20$.

Step1: Calculate discount amount

20% of $40 is the discount. Convert 20% to 0.20. Then discount is $0.20\times40 = 8$ dollars.

Step2: Subtract discount from original price

Sale price = Original price - Discount. So $40 - 8 = 32$ dollars.

Answer:

Both runners are equally fast as their speeds are both 6 miles per hour.

Problem 11