Answer:
60
Step-by-step explanation:
We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4
In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:
15 = 3 * 5
6 = 2 * 3
4 = 2 * 2
Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:
2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)
The denominator will be 60 for the least common multiples.
Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
1. Area of a circle is pi(R)^2 , where R is the radius. So we can substitute:
22/7(16^2) = about 805 meters squared.
2. Let's find the area of the rectangle first.
A=LW
A= 18(10)
A= 180 cm squared.
Now the semi-Circle:
The radius of the circle is 9 (because 18/2 is 9). Now we plug in to the area formula:
22/7(9^2) = about 254 cm squared. But because that is the area of the whole circle, and we only need half of the circle, we divide that value by 2 to get:
127 cm squared for the semi-circle.
Now we add up the rectangle and semi-circle's areas:
180 + 127 = 307 cm squared as your answer.
I hope this Helps!