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mr Goodwill [35]
3 years ago
6

In an 18-mile duathlon you run then Bike 12 miles and then run again the two runs are the same distance find the distance of eac

h run
Mathematics
2 answers:
svp [43]3 years ago
7 0
Each run is 3 miles long

vodka [1.7K]3 years ago
4 0

Answer:

3 miles.

Step-by-step explanation:

We have been given that in an 18-mile duathlon you run then Bike 12 miles and then run again.

The distance covered by running would be 18 miles minus 12 miles.

\text{The distance covered by running}=18\text{ miles}-12\text{ miles}

\text{The distance covered by running}=6\text{ miles}

Since two runs are the same distance, so distance of each run would be 6 divided by 2.

\text{The distance of each run}=\frac{6\text{ miles}}{2}

\text{The distance of each run}=3\text{ miles}

Therefore, the distance of each run was 3 miles.

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Now, If the exponent was negative like you asked....

\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}

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