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Alex_Xolod [135]
3 years ago
12

What is the unit form of 7 hundreds x 10

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

7 tenths -> 7/10, that's it

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How many positive integers $n$ from 1 to 5000 satisfy the congruence $n \equiv 5 \pmod{12}$?
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The equivalence n \equiv 5 \pmod{12}

means that n-5 is a multiple of 12.

that is

n-5=12k, for some integer k

and so

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for k= 0, n=0+5=5 (the first positive integer n, is for k=0)


we solve 5000=12k+5 to find the last k

12k=5000-5=4995

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so check k = 415, 416, 417 to be sure we have the right k:

n=12k+5=12*415+5=4985

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n=12k+5=12*417+5=5009


The last k which produces n<5000 is 416


For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,

thus there are 417 integers n satisfying the congruence.


Answer: 417

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