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?
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}}.
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)
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.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions of gray cars and electrically powered cars.
Given:
Fraction of gray cars = 2/5
Fraction of electrically powered cars = 1/3
To find the fraction of cars that are both gray and electrically powered, multiply these fractions:
(2/5) * (1/3) = (2 * 1) / (5 * 3) = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
To find the fraction of cars that are both gray and electrically powered, we need to determine the intersection of these two groups.
Let's break it down step by step:
Step 1: Start with the total number of cars in the parking lot. Let's represent this as the whole, which is equal to 1.
Step 2: From the given information, we know that 2/5 of the cars in the parking lot are gray. This means that the gray cars represent 2/5 of the whole.
Step 3: Next, we are told that 1/3 of the cars in the parking lot are both gray and electrically powered. This means that the cars that are both gray and electrically powered represent 1/3 of the whole.
Step 4: To find the intersection of the gray cars and electrically powered cars, we multiply the fractions representing each group:
(2/5) * (1/3)
Step 5: Simplify the fraction multiplication:
2/5 * 1/3 = 2/15
Therefore, the fraction of cars in the parking lot that are both gray and electrically powered is 2/15.