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)
<h2>
Explanation:</h2>
The rational expression is given by:
The denominator can't be zero, therefore:
Finally,<em> the values of x that make the rational expression undefined are </em>
<em></em>
<em>x = 7 and x = -7</em>
Answer
25mm of rain fell each second
Step-by-step explanation:
we know that 500 mm fell in 20 minutes
so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:
500/20 = 25
therefore, 25mm of rain fell each minute
hope this helped:)
To solve, set an equation:
First Number: x
Second Number: 2x
x+2x=36
3x=36
divide both sides by 3
x=13
First Number: (x) 12
Second Number: (2x) 24
Answers: 12 and 24
