A cyclist travels at an average speed of 13 mph for 3 hours. How far did she travel in miles?

Mathematics

1 answer:

alexgriva [62]2 years ago

5 0

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

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Add the expressions 4 - 2/3b+ 1/4a and 1/2a + 1/6b - 7. What is the simplified sum?

klasskru [66]

Answer:

$\frac{3}{4}a-\frac{1}{2}b-3$

Step-by-step explanation:

Given the expressions: $4 -\frac{2}{3}b+\frac{1}{4}a $ and $ \frac{1}{2}a + \frac{1}{6}b - 7.$

We add:

$4 -\frac{2}{3}b+\frac{1}{4}a + \frac{1}{2}a + \frac{1}{6}b - 7\\\\$First, we reorder the terms$\\\\=4 - 7-\frac{2}{3}b+ \frac{1}{6}b+\frac{1}{4}a + \frac{1}{2}a \\\\=-3+(\frac{1}{6}-\frac{2}{3})b+(\frac{1}{4}+\frac{1}{2})a\\\\=-3-\frac{1}{2}b+\frac{3}{4}a\\\\=\frac{3}{4}a-\frac{1}{2}b-3$