<h3>
Answer: 50%</h3>
Work Shown:
change = new - old = 189-126 = 63
percent increase = (change/old)*100%
percent increase = (63/126)*100%
percent increase = (0.50)*100%
percent increase = 50%
50% of 126 = 0.50*126 = 63
126+63 = 189
The answer is confirmed.
1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
for question #1 the answer is: x=2, x=-1
question 9: answer is B
question 10: answer B
