Multiply -1 1/6 x7. Write the answer as a mixed number
To multiply -1 1/6 by 7, we first need to convert the mixed number to an improper fraction.
-1 1/6 can be written as -7/6.
Now we can multiply the fractions:
-7/6 * 7 = -49/6
The answer as a mixed number is -8 1/6.
Of the cars in the used car lot, 2/5 of the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the light are both gray and electrically powered? Leave your answer in the simplified fraction form.
Let's denote the total number of cars in the used car lot as N.
Therefore, the number of gray cars would be (2/5)N.
And out of the gray cars, (1/3) of them are electrically powered, which is (1/3) * (2/5)N = (2/15)N.
Hence, the fraction of cars on the lot that are both gray and electrically powered is (2/15)N / N = 2/15 in simplified form.
Are you sure that's correct
Apologies for the confusion. Let's start again.
Let's denote the total number of cars in the used car lot as N.
The number of gray cars is given as 2/5 of N, which can be written as (2/5)N.
Out of the gray cars, the fraction that are electrically powered vehicles is given as 1/3 of the gray cars.
Therefore, the fraction of cars on the lot that are both gray and electrically powered is:
(1/3) * (2/5)N = (2/15)N
Hence, the fraction of cars on the lot that are both gray and electrically powered is 2/15 in simplified form.
Like profondo has a depth of 84 ft. Lake segundo is 5/6 as deep. What is the elevation at the bottom of lake Segundo? (Remember, elevation is below sea level. I account for This is your answer.)
If Lake Profondo has a depth of 84 ft, and Lake Segundo is 5/6 as deep, we can find the depth of Lake Segundo by multiplying its depth by 5/6.
Depth of Lake Segundo = (5/6) * 84 ft = 70 ft
Since elevation is below sea level, the elevation at the bottom of Lake Segundo would be -70 ft.
Divide -72 by -4. Then divide the quotient by -9. What is the final quotient?
To divide -72 by -4, we have:
-72 ÷ -4 = 18
Now, divide the quotient (18) by -9:
18 ÷ -9 = -2
The final quotient is -2.
To multiply a mixed number by a whole number, we follow these steps:
Step 1: Convert the mixed number to an improper fraction.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The result becomes the new numerator while the denominator remains the same.
In this case, the mixed number is -1 1/6. We multiply -1 by 6 and add 1 to get -7 as the new numerator. The denominator remains 6. Therefore, -1 1/6 as an improper fraction is -7/6.
Step 2: Multiply the improper fraction by the whole number.
To multiply an improper fraction by a whole number, multiply the numerator by the whole number, and the denominator remains the same. In this case, we multiply -7/6 by 7, which results in (-7*7)/6 = -49/6.
Step 3: Express the product as a mixed number.
To write the answer as a mixed number, we divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator while the denominator remains the same.
In this case, -49 divided by 6 equals -8 remainder 1. So, the mixed number form of the answer is -8 1/6.
Therefore, when we multiply -1 1/6 by 7 and write the answer as a mixed number, the result is -8 1/6.