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gavmur [86]
3 years ago
12

can someone please help me with this? i know it’s change of base formula i just don’t know how to work it out

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
I still cant see it sorry cant help without seeing it can you spell the question?
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We are given the following:

\frac{x}{5}=q_1+\frac{4}{5}      (equ. 1)

\frac{y}{5}=q_2+\frac{1}{5}      (equ. 2)

We are asked:

\frac{x+y}{5}=q_3+\frac{r}{5}  (equ. 3) , what is r?

The q_i's represent the quotients you get.

r is the remainder of dividing x+y by 5.

We know that r is a number in {0,1,2,3,4}.

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Let's add these equations together:

x+y=(5q_1+5q_2)+(4+1)

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x+y=5(q_1+q_2)+5

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So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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