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ashley5196
15.01.2021 •
Mathematics
Please help me, thank you
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Ответ:
So 468n is k*180, where n and k are integers, such that k/n = 468/180 or (the same) k = 468n/180
468=(2^2)(3^2)(13)
180=(2^2)(3^2)(5)
Then 468/180 = 13/5 and k =13n/5
To make K an integer n has to be a multiple of 5. Use 5 and you get
k = 13
n=5
468n = 468(5) = 2340
2340/180 = 13. which means that 2340 is multiple of 180.
Then the solution is n =5.
To make the numerator divisible by the denominator, you need to multiply