anonymous
  • anonymous
When 17 is divided by k, where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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IsTim
  • IsTim
Well, what do we know?
anonymous
  • anonymous
well k is less than 17 and is positive
IsTim
  • IsTim
Wait....ignore me...I'm...doing other stuff right now, sorry.

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More answers

IsTim
  • IsTim
Someone else, please help!
zzr0ck3r
  • zzr0ck3r
the numbers are 7 and 14, 17/14 remainder of 3 17/(2*7) same thing 14+7 = 21 so 21/17 = 4
zzr0ck3r
  • zzr0ck3r
remainder of 4*
alexwee123
  • alexwee123
lol this really sounds like a SAT 1 questions :p
alexwee123
  • alexwee123
question*
anonymous
  • anonymous
it is :p
zzr0ck3r
  • zzr0ck3r
so the answer is 4
helder_edwin
  • helder_edwin
u r dividing 17 by k and have remainder 3 then u have the following equation \[ \large 17=kq+3 \]
helder_edwin
  • helder_edwin
|dw:1344909696566:dw|
helder_edwin
  • helder_edwin
i'm sure u know this
alexwee123
  • alexwee123
lol well good luck w/ the sat @lawls :p
helder_edwin
  • helder_edwin
@lawls ?
anonymous
  • anonymous
yeah i'm here thanks
helder_edwin
  • helder_edwin
r u following me?
anonymous
  • anonymous
yup
helder_edwin
  • helder_edwin
ok so since 17=kq+3 then 17-3=kq or 14=kq. Since k is positive then q must also be positive.
helder_edwin
  • helder_edwin
what positive numbers will give u 14 when multiplied?
anonymous
  • anonymous
7 and 2, 1 and 14
helder_edwin
  • helder_edwin
not k=1. do u know why?
anonymous
  • anonymous
no why
zzr0ck3r
  • zzr0ck3r
17/1 = 17 with no remainder so remainder is 0 not 3
anonymous
  • anonymous
oh yeah i see
helder_edwin
  • helder_edwin
because you would have \[ \large \frac{17}{1}=17 \] and u would not have a remainder but u r told that u DO have a remainder
zzr0ck3r
  • zzr0ck3r
same with 2
anonymous
  • anonymous
ok
zzr0ck3r
  • zzr0ck3r
so what do you get when you add the two choices?
anonymous
  • anonymous
21
zzr0ck3r
  • zzr0ck3r
and whats the remainder of 21/17?
helder_edwin
  • helder_edwin
correct
anonymous
  • anonymous
4
helder_edwin
  • helder_edwin
u got it
anonymous
  • anonymous
so the answer's (c) thanks guys :)
helder_edwin
  • helder_edwin
u r welcome

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