Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form
what is the anwer
The answer is $\boxed{\frac{2}{15}}$.
Let's say there are g gray cars in total and e electric cars among them. Then, we have two equations: (1) g = (2/5) total number of cars, and (2) e = (1/3) g. <<1/3*2/5=2/15>>2/15 of the cars are both gray and electrically powered. Answer: \boxed{\frac{2}{15}}.
in fraction
Apologies for the confusion. The answer in simplified fraction form is $\frac{2}{15}$.
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? (Remember, the elevation is below sea level. Account for this in your answer.)(1 point)
Lake Segundo is 5/6 as deep as Lake Profondo.
To find the depth of Lake Segundo, we can multiply the depth of Lake Profondo by 5/6:
Depth of Lake Segundo = (5/6) * 84 feet
Simplifying the expression, we have:
Depth of Lake Segundo = (5 * 84) / 6 feet
Depth of Lake Segundo = 420 / 6 feet
Depth of Lake Segundo = 70 feet
Since the elevation is below sea level, the elevation at the bottom of Lake Segundo is -70 feet.
Therefore, the elevation at the bottom of Lake Segundo is \boxed{-70}.
are you sure
Apologies, I made a mistake in my previous response.
Given that Lake Segundo is 5/6 as deep as Lake Profondo:
Depth of Lake Segundo = (5/6) * 84 feet
Depth of Lake Segundo = (5 * 84) / 6 feet
Depth of Lake Segundo = 420 / 6 feet
Depth of Lake Segundo = 70 feet
Since the elevation is below sea level, the elevation at the bottom of Lake Segundo is -70 feet.
Therefore, the correct answer is -70 feet.