Answer:
45= 2 x 3 x 7
12= 2x2x3
Step-by-step explanation:
42
/ \
2 21
/ \
3 7
12
/ \
2 6
/ \
2 3
Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.
The least common multiple of these three numbers is

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.
Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:



The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)
<span>Equation:
0.15x + 0.10(5-x) = 0.11*5
---
Multiply thru by 100:
15x + 10*5 - 10x = 11*5
---
5x = 5
x = 1 liter (amt. 15% oj needed)
----
5-x = 4 liters (amt of 10% oj needed)
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Answer:
x = 110° (vertically opposite angel)
Answer:
The sixteen people to March in the sportsmanship parade
Step-by-step explanation:
A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
A sample should represent the population as a whole and not reflect any bias toward a specific attribute.
Since the coach chose 16 people to March in the sportsmanship parade, the sample in this situation, The sixteen people to March in the sportsmanship parade is the sample