Mathematics: Nikita borrows 1 superhero book and 1 dragon book from the library. the superhero book has a mass of 200 grams. the dragon book has a mass of 310 grams. what is the mass of the books nikita borrowed?

16Step-by-step explanation:We must find integers x, y with the most amount of prime divisors, not necessarily distinct, such that x + 3y 1,000. Obviously, this is achieved when the divisor is the least prime 2. So, we must find integers n, m such that since , then n must be 9. For n=9 we find the greatest integer m such that and we find m=7 and , are the numbers we are looking for and the sum of their length is 9+7 = 16. So, 16 is the maximum possible sum of the length of x and the length...

Nikita borrows 1 superhero book and 1 dragon book - id11783696, haleynicole351ovewbg

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struckedblazing

11.02.2022

Mathematics

Step-by-step explanation:

We must find integers x, y with the most amount of prime divisors, not necessarily distinct, such that x + 3y < 1,000.

Obviously, this is achieved when the divisor is the least prime 2. So, we must find integers n, m such that

$\large 2^n + 3*2^m < 1,000$

since $\large 2^10 = 1,024$ , then n must be 9. For n=9 we find the greatest integer m such that

$\large 2^9 + 3*2^m <1,000$

and we find m=7

and $\large x=2^9$ , $\large y=2^7$ are the numbers we are looking for and the sum of their length is 9+7 = 16.

So, 16 is the maximum possible sum of the length of x and the length of y.

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Nikita borrows 1 superhero book and 1 dragon book from the library. the superhero book has a mass of 200 grams. the dragon book has a mass of 310 grams. what is the mass of the books nikita borrowed?

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