answer:We prime factorize 4125 as 4125=3^2cdot 5^3cdot 11. For n! to be divisible by 4125, it must have at least two factors of 3, three factors of 5, and one factor of 11. The smallest such n is n=boxed{15}. The answer is: 15

answer:We can rewrite 0.865 as frac{865}{1000}. So we have frac{a}{a+27}=frac{865}{1000}. Cross-multiplying, we get 1000a=865(a+27). Expanding, we get 1000a=865a+23355. Simplifying, we get 135a=23355. Dividing both sides by 135, we get a=boxed{173}. The answer is: 173

answer:If Solomon collected 66 cans, which is three times more than what Juwan collected, then Juwan collected 66/3 = 22 cans. If Levi collected half of what Juwan collected, then Levi collected 22/2 = 11 cans. The total number of cans collected by all the boys is 66 + 22 + 11 = 99 cans. 99 The answer is: 99

answer:We can simplify the expression by multiplying the fractions together: frac{1}{3} cdot frac{1}{4} cdot frac{1}{5} cdot 60 = frac{1}{60} cdot 60 = boxed{1}.The answer is: 1