# Brian runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

In situations such as these, it is helpful to establish a ratio, so let's do that!

If we construct a ratio with minutes (time) as the denominator and miles as the numerator, we obtain:

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To find out how many minutes Brian would take to run 9 miles at the same rate, you can set up a proportion using the ratio of miles to minutes. Since Brian runs 6 miles in 44 minutes, the ratio is 6 miles to 44 minutes. You can then set up the proportion:

6 miles / 44 minutes = 9 miles / x minutes

Cross multiply and solve for x:

6 * x = 9 * 44

Then, divide both sides by 6 to isolate x:

x = (9 * 44) / 6

Calculate the value of x to find out how many minutes it would take for Brian to run 9 miles at the same rate.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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