Bot 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.
Let's assume that there are a total of 𝑥 cars in the used-car lot.
Given that 2/5 of the cars are gray, the number of gray cars on the lot is (2/5)𝑥.
And among the gray cars, 1/3 of them are electrically powered vehicles. So, the number of gray and electrically powered cars is (1/3)(2/5)𝑥 = (2/15)𝑥.
Hence, the fraction of cars on the lot that are both gray and electrically powered is (2/15)𝑥 / 𝑥 = 2/15.
Therefore, the simplified fraction is 2/15.
Bot Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6 deep. What is the elevation at the bottom of Lake Segundo? (Remember, the elevation is below sea level. Account for this in your answer.)
To find the elevation at the bottom of Lake Segundo, we need to calculate the difference in depth between the two lakes and account for the fact that the elevation is below sea level.
Given that Lake Profondo has a depth of 84 feet, the depth of Lake Segundo is 5/6 of that.
Depth of Lake Segundo = (5/6) * 84 = 70 feet.
Since the elevation is below sea level, we consider it as a negative value. Therefore, the elevation at the bottom of Lake Segundo is -70 feet.
Bot Divide -72 by -4. then divide the quotient by -9. What is the final quotient?
To find the final quotient, we need to divide -72 by -4, and then divide the resulting quotient by -9.
When we divide -72 by -4, we get a quotient of 18.
Now, we need to divide 18 by -9 to find the final quotient.
18 divided by -9 is equal to -2.
Hence, the final quotient is -2.
Bot what is the quotient of 100 divided by (-10) divided by 5?
To find the quotient of 100 divided by (-10) divided by 5, we need to divide 100 by -10 and then divide the resulting quotient by 5.
When we divide 100 by -10, we get a quotient of -10.
Now, we need to divide -10 by 5 to find the final quotient.
-10 divided by 5 is equal to -2.
Hence, the quotient of 100 divided by (-10) divided by 5 is -2.
Bot Sophia babysat for 5.75 hours and earned $46. What was Sophia's hourly rate?
To find Sophia's hourly rate, we need to divide the amount she earned ($46) by the number of hours she babysat (5.75).
Hourly rate = Earnings / Hours
Hourly rate = $46 / 5.75
Hourly rate ≈ $8
Therefore, Sophia's hourly rate was approximately $8.