alright, I think I have found the way to solve it
Let take 643 + 364
= 463 + 634
I got the answer by performing this:
(\frac {(24)(24)}{(18)(16)} + \frac {9}{18})+8 = \frac {21}{2}
Notice that first 2 term 6 x 4 = 4 x 6 = 24
final 2 term 6 x 3 = 18 and 4 x 4 = 16...
Homework Statement
For positive integers m, k, and n , let mkn be defined as mkn = kmn , where k\frac {m}{n} is a mixed fraction. What is the value of 643 + 364 ?
Homework Equations
I attempt the other few similar questions where the solution are as follow
832 + 382 = \frac {169}{24}
641 +...
I think I got it by completing the square.
it will becomes \frac {(n+6)^2 - 79}{n+6}
Since 79 is prime number,
Solving n + 6 = ± 1 and n + 6 = ± 79 will gives rise to 4 integers, which is -5, -7, 73 and -85.
Hence, |S| = |-5-7+73-85| = 24
Thanks for pointing out the completing the square. It...
Homework Statement
Let S be the sum of all integer values of n such that \frac {n^2+12n-43} {n+6} is an integer. What is the value of |S|.
Homework Equations
Since it's sum, S = \frac {n} {2} \ (2a+(n-1)d) where a is the first term.
The \frac {n^2+12n-43} {n+6} = x, where x is an integer...
Consider the region A in the complex plane that consists of all points z such that both \frac{z}{40} and \frac{40}{\overline{z}} have real and imaginary parts between 0 and 1, inclusive. What is the integer that is nearest the area of A?
Let z = a + bi and \overline{z} = a - bi
a = real part...
In a market, there are 3 types of shirts, shirt x = $0.10, shirt y = $3.00 and shirt z = $6.00.
The condition here is you need to buy total number of 100 shirts for shirt x, y and/or z with
$ 100 exactly!
I believe this can be written as
0.1x + 3y + 6z = 100 ... (1)
x + y + z = 100 ...
If A = 5ax + 3ay + 2az
B = -ax + 4ay + 6az
C = 8ax + 2ay
Find the value of m and n such that mA + nB + C is parallel to y-axis.
My problem is I did not know how to determine the m and n value because I did not know what method can use to solve for mA + nB + C parallel to y axis...
Why the incoming flux is not (1car/(d+12))*(25m/sec)? Imagine that faster car B join the line of slower car X, it travel d+12 m if the slower car X travel 12 m, and another faster car C replace the place of faster car B that all events happened at time of t.
stationary shock wave, so speed of...
Hey, Dick. If I followed according what u said, then the answer for part (a) is 60 m. So the speed of shock wave is actually the speed of the slower car right? As I do part (b), if I use the same way as part (a), I get answer of 2.5 m/s, which the shock wave will remain stationary...? I...
An abrupt slowdown in concentrated traffic can be travel as a pulse, termed a shock wave, along the line of cars, either downstream (in the traffic direction) or upstream, or it can be stationary. Figure below shows a uniform spaced line of car moving at speed v = 25.0 m/s toward a uniformly...