Multiply −1 1/6 by 7. Write the answer as a mixed number.(1 point)
To multiply -1 1/6 by 7, first convert -1 1/6 to an improper fraction.
-1 1/6 = -(6/6 + 1/6) = -7/6
Then, multiply -7/6 by 7:
-7/6 * 7 = -49/6
Now, convert -49/6 back to a mixed number:
-49/6 = -8 1/6
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.(1 point)
To find the fraction of cars that are both gray and electrically powered, we need to find the product of the two fractions.
The fraction of cars that are gray is 2/5, and the fraction of gray cars that are electrically powered is 1/3.
Multiplying these fractions, we get:
2/5 * 1/3 = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
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)
To find the depth of Lake Segundo, which is 5/6 as deep as Lake Profondo, we need to multiply the depth of Lake Profondo by 5/6.
84 feet * 5/6 = (84 * 5)/(6) = 420/6 = 70
Therefore, Lake Segundo has a depth of 70 feet.
Since the elevation at the bottom of Lake Profondo is below sea level, we can infer that the elevation at the bottom of Lake Segundo would also be below sea level.
Divide −72 by −4. Then divide the quotient by −9. What is the final quotient? (1 point)
The division of -72 by -4 is:
-72 ÷ -4 = 18
Then, if we divide the quotient 18 by -9, the final quotient is:
18 ÷ -9 = -2
Therefore, the final quotient is -2.
What is the quotient of 100÷(−10)÷5?(1 point)
To solve this expression, we need to perform the division in the given order: 100 ÷ (-10) ÷ 5.
First, divide 100 by -10:
100 ÷ (-10) = -10
Then, divide the result (-10) by 5:
-10 ÷ 5 = -2
Therefore, the quotient of 100 ÷ (-10) ÷ 5 is -2.
What is the quotient of 842.4 ÷ −0.6?(1 point)
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