Bonus: some old games had a "wrap around" effect. if you move past the right side of the screen you appear at the left side, and if you move past the top you appear at the bottom. we can model this in the following way. identify the screen with the the unit square [0, 1] x [0, 1] (rescale things to points of the form (a, 1) and points of the form (0, y) equal to points of the form (1, y) so the aspect ratio is 1: 1). now set points of the form (x, 0) equal (a) show that in this environment, it's possible to solve the utility puzzle without crossing any edges (b) show that it's possible to draw k3 in this environment without dividing it into two disconnected regions

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

is this a dating site too?

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.