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dimaraw [331]
4 years ago
9

Jessica completed 21 math problems in 14 minutes. At this rate, how many math problems could she complete in 30 minutes?

Mathematics
1 answer:
harina [27]4 years ago
6 0
To do this problem, you need to find how many questions per minute she can do. You would need to do 21 divided by 14. Which equals 1.5 questions per minute. From there you would do 1.5 times 30 and get 45.

So she can get 45 questions in 30 minutes.


Hope that helps!!
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Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
torisob [31]
Fermat's little theorem states that
a^p≡a mod p

If we divide both sides by a, then
a^{p-1}≡1 mod p
=>
a^{17-1}≡1 mod 17
a^{16}≡1 mod 17

Rewrite
a^{1000000} mod 17  as
=(a^{16})^{62500} mod 17
and apply Fermat's little theorem
=(1)^{62500} mod 17
=>
=(1) mod 17

So we conclude that
a^{1000000}≡1 mod 17

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hodyreva [135]

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Please refer to the attached image for explanations

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