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Neporo4naja [7]
4 years ago
6

How many different 10 digit phone numbers are possible if numbers can be repeated

Mathematics
1 answer:
Stella [2.4K]4 years ago
8 0

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

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A fish swims upstream a distance of 16 miles in a river with a current of 3 miles per hour. The fish returns swimming
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Answer:

9 mph = the speed in still water

Step-by-step explanation:

Let r = the speed in still water

Then the speed going down stream is r + 3

and the speed going upstream is r - 3

d = rt   or t = d/r

time going downstream is 16/(r + 3) and time going upstream is 16/(r - 3)

The total time was 4 hours, so

\frac{16}{r + 3}  + \frac{16}{r - 3}  = 4   Multiply thru the equation by (r + 3)(r - 3)

Then 16(r - 3) + 16(r + 3) = 4(r + 3)(r - 3)

         16r - 48 + 16r + 48 = 4r^{2} - 36

         4r^{2} - 36 = 32r

         4r^{2} - 32r - 36 = 0

         4(r^{2}  - 8r - 9) = 0

         4(r - 9)(r + 1) = 0

             r = 9  or -1

But a rate of speed cannot be negative, so x ≠ -1

So, r = 9 mph = the speed in still water

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