Of the cars used in the parking lot, 2/5 are the color gray. 1/3 of the cars are gray and electrically powered vehicles. What fraction of the on the lot are both gray and electrically powered?

Answer 1

Let's say there are a total of x cars in the parking lot.
The number of gray cars is 2/5*x = (2/5)*x = 2x/5 cars.
The number of gray and electrically powered cars is 1/3*x = (1/3)*x = x/3 cars.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is (x/3)/(x) = (x/3)*(1/x) = 1/3. Answer: \boxed{\frac{1}{3}}.

Answer 2

Lake profondo has a depth of 84 feet. Lake segundo is 5/6 as deep. What is the elevation at the bottom of Lake segundo? (Needs to be negative because this is below sea level)

Answer 3

The depth of Lake segundo is 5/6 * 84 = (5/6) * 84 = 70 feet.
Since we are measuring the elevation from sea level, the elevation at the bottom of Lake segundo is -70 feet.