The numbers through 1-10 that are not divisible by 10 are 2, 3, 4, 6, 7, 8 and 9(the one doesn't matter.) Multiplying, we get 72576, so the units digit is 6.
To maximize the amount of digits, we should make as many digits as we can a 2. That would mean we get 4 2's since we need space for a three. Then we get one three. The largest number we can make with those digits is 32222.
The largest 3 digit palindrome less than 220 is 212. But 212 won't work since it is x+x+1+x+2, so the number has to be divisibe by three. 202 doesn't work either, but 171 does. 3x+3=171, 3x=168 x=56. The largest possibiliyy would be 58.
22.5 of the first alloy and 67.5 of the second.
https://www.wyzant.com/resources/answers/192387/a_worker_has_metal_alloy_that_is_30_copper_and_another_hour_if_that_is_55_how_many_kilograms_of_each_alloy_should_the_metal_worker_combine_to_create_6kg_of_45
8.
A prime number will only come up in the factorization of a factorial if the prime is less than n, with n being (n)!. THere are 8 primes less than 20- 2, 3, 5, 7, 11, 13, 17, and 19.
2100
In every year of the 2000, there is an automatic 2, leaving only a one. There are 3 spots to put it in: 2100, 2010, and 2001. 2100 is the first one after 2010.
\(n = 2^{10} \cdot 3^{14} \cdot 5^{8}\)
150=5^2*3*2
We have \(2^9*3^{13}*5^6\) for each number of exponent, it can be up to that or less. or none. so we get 10*14*7 soo my answer is 980.
i think
simplifying, we get 3x is less than or equal to 17. divide by 3 on both sides to get (-infinity \(,\frac{17}{3}]\)
119/780
36 square feet
