Pencils are sold 9 to a package, and pens are sold 6 to a package. If an equal number of pencils and pens are purchased, what is
2 answers:
Answer: Hello there!
You want to buy an equal number of pens and pencils, and the pencils come in packs of 9, and pens come in packs of 6.
So if you want to buy an equal number of them, we are looking for a multiple of 6 and 9.
But we want to know the minimum number of each item; then we need the minimal common multiple, or MCM,
The minimal common multiple between two numbers a and b is obtained as:
Where the MCF(a,b) is the maximal common factor between a and b.
Our numbers are 6 and 9 and is easy to see that the maximal common factor between these numbers is 3.
then the minimal common multiple between 6 and 9 is:
MCM = (6*9)/3 = 18
So the minimal quantity of each item you can buy is 18, which is equivalent to buy two packs of pencils or 3 packs of pens.
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Answer:
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: