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lisov135 [29]
3 years ago
8

A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How

long is his route in miles?
Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

6 miles

Step-by-step explanation:

Let the route length be r.  The distance the cyclist has already covered is then (5/7)r + 40.  This plus 0.75r - 118 must = r, the length of the entire route.

Then:

(5/7)r + 40 + (3/4)r - 118 = r

The LCD of the fractions 5/7 and 3/4 is 28.  We thus have:

(20/28)r + 40 + (21/28)r - 118 = r, or

(41/28)r - 78 = (28/28)r

Combining the r terms, we get 13r = 78, and so r = 78/13 = 6.

The cyclist's bike route is 6 miles long.

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The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

<h3>What is the area of the circle?</h3>

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

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