For Each problem, set u a proportion. Include the units for each ratio. Then solve for the missing value and label your answer with appropriate units. Round answers to the nearest tenth.
Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?
Let's set up a proportion to solve for the missing value.
We know that Mary ran 2 miles in 23 minutes. So, the ratio of miles to minutes can be represented as 2/23.
We want to find out how long it will take her to run 10 miles. Let's call this unknown value "x". So, the ratio of miles to minutes for 10 miles can be represented as 10/x.
Now we can set up the proportion:
2/23 = 10/x
To solve for x, we can cross multiply:
2x = 23 * 10
2x = 230
Now, we can solve for x by dividing both sides of the equation by 2:
x = 230 / 2
x = 115
Therefore, it will take Mary approximately 115 minutes to run 10 miles.