Keith earns $45.00 in 2 hours. How much would he earn in 9 hours?
To find out how much Keith would earn in 9 hours, divide the total amount he earned in 2 hours by 2 to find his hourly rate: $45.00 / 2 = $<<45/2=22.50>>22.50 per hour
Then multiply his hourly rate by the number of hours he worked to find his total earnings: $22.50/hour * 9 hours = $<<22.5*9=202.50>>202.50. Answer: \boxed{202.50}.
Ryan is installing new flooring in his house. Ryan can install 100 square feet of flooring in 4 hours. How much new flooring can Ryan install in 24 hours?
To find out how much new flooring Ryan can install in 24 hours, divide the total amount of flooring he can install in 4 hours by 4 to find his hourly rate: 100 square feet / 4 hours = 25 square feet per hour.
Then multiply his hourly rate by the number of hours he worked to find the total amount of flooring he can install: 25 square feet/hour * 24 hours = <<25*24=600>>600 square feet. Answer: \boxed{600}.
Rachel is training for a cycling tournament. She can bike 2 1/4 miles in 1/5 of an hour. At this rate, how many miles can she bike in 1 1/3 hours in fractional forrm?
To find out how many miles Rachel can bike in 1 1/3 hours, we need to first convert 1 1/3 hours into fractional form.
1 1/3 hours is equal to 4/3 hours.
Now we can set up a proportion to solve for the number of miles Rachel can bike:
2 1/4 miles / 1/5 hour = x miles / 4/3 hours
To solve for x, we can multiply the left side of the equation by the reciprocal of 1/5 hour and the right side of the equation by the reciprocal of 4/3 hours.
(2 1/4 miles / 1/5 hour) * (3/4 hours / 1) = x miles
(9/4) * (3/4) = x miles
To simplify, we can multiply the numerators and the denominators.
(9 * 3) / (4 * 4) = x miles
27 / 16 = x miles
Therefore, Rachel can bike 27/16 miles in 1 1/3 hours in fractional form. Answer: \boxed{\frac{27}{16}} miles.
now do it again without simplifying.
Sure! Without simplifying:
To find out how many miles Rachel can bike in 1 1/3 hours, we need to first convert 1 1/3 hours into fractional form.
1 1/3 hours is equal to 4/3 hours.
Now we can set up a proportion to solve for the number of miles Rachel can bike:
2 1/4 miles / 1/5 hour = x miles / 4/3 hours
To solve for x, we can multiply the left side of the equation by the reciprocal of 1/5 hour and the right side of the equation by the reciprocal of 4/3 hours.
(2 1/4 miles / 1/5 hour) * (3/4 hours / 1) = x miles
(9/4) * (3/4) = x miles
Multiplying the numerators and the denominators, we get:
(9 * 3) / (4 * 4) = x miles
27 / 16 = x miles
Therefore, Rachel can bike 27/16 miles in 1 1/3 hours in fractional form. Answer: \boxed{\frac{27}{16}} miles.