Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
9514 1404 393
Answer:
500 ÷ 8 = 62 r 4, for example
Step-by-step explanation:
In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.
The corresponding numbers could be any of ...
504 +5n . . . 0 ≤ n ≤ 19
502 +6n . . . 0 ≤ n ≤ 16
501 +7n . . . 0 ≤ n ≤ 14
500 +8n . . . 0 ≤ n ≤ 12
508 +9n . . . 0 ≤ n ≤ 10
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For example, with the divisor being 6, and n=13, the number could be ...
580 = 6·96 + 4
50km to 80km is 30km
10c to -80c is -90c
and since it linear (Which means the change is constant or the same)
every 10 km show a -30c decrease
so
60 km is -20c
70km is -50c
answer is c
