The quotient of 6/8 divided by 2/6 is 9/4.
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
In this case, we have:
6/8 divided by 2/6
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, the reciprocal of 2/6 is 6/2.
Therefore, we can rewrite the division as:
6/8 x 6/2
Now, we can multiply the numerators together and the denominators together:
(6 x 6) / (8 x 2)
Which simplifies to:
36 / 16
Now, we can simplify the fraction by finding the greatest common divisor (GCD) of 36 and 16, and dividing both the numerator and the denominator by the GCD.
The GCD of 36 and 16 is 4.
Dividing both the numerator and denominator by 4, we get:
(36 ÷ 4) / (16 ÷ 4)
9 / 4
So, the quotient of 6/8 divided by 2/6 is 9/4.
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The jewelry store received 1,920 rings in the package that contain 1-inch cubes.
It is a polygon having six faces.
The volume of a cube is side cube.
We have,
The package contains 1-inch cubes that each hold one ring, so the number of rings in the package is equal to the number of 1-inch cubes that can fit inside the package.
To find the number of 1-inch cubes that fit inside the package, we need to calculate the volume of the package in cubic inches.
The volume of a rectangular solid (such as a package) is given by the formula:
Volume = length x width x height
Plugging in the given values, we get:
Volume = 16 x 10 x 12
= 1,920 cubic inches
Since each 1-inch cube has a volume of 1 cubic inch, the number of cubes that can fit inside the package is equal to the volume of the package in cubic inches.
So,
Number of rings = 1,920
Thus,
The jewelry store received 1,920 rings in the package.
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Answer: -13
Step-by-step explanation: -4 - 9 = -13