ElectricPavlov

The WHOLE circumference   is    p i x 2r  = 2 pi

  this is a FRACTION of the whole circumference

     pi/3   /   2pi =  1/6

1/27  + 1/36   - 1/18 = 1/x  

solve for x = 108 hrs

x² - 2x + 1= 0

(x-1)(x-1) = 0     x = 1  ,  1

The two numbers are    x    and     97-x

(97-x)/x = 7  R1

97-x = 7x + 1

96 = 8x

x = 12    then    97-x = 85   

Adults of the original number of people (x) =  1 out of (1+4) =    1/5 x

Children originally  =   4/5 x

then add 1 adult and 10 children

(1/5 x   + 1)/ (4/5x +10)    = 1/5  

    solve for x = 25    the original number of people       1/5 were adults  = 5 adults originally 

Divide    x^2+ 2x + 3 into the second polynomial in your Q to find the missing poly

    you should get    2x³ -x²+4x +3

Circumference = pi X d

12 pi   = pi X d

d = 12      then r = 6 units  <----- this is the square side length and width

Area of square = l x w = 6 x 6 = 36 units²

300 men x 90 days = 27000 man- days of provisions

300 men x 20 days = 6000 man days of provisions   leaving   21000 man days of provisions

21000 m-d / 250m =  84 days    remaining

480   pages PLUS the first 99 pages = 579 pages   

* ** edited ** *

18(-3) + p(2) = q

slope of first line is -1/5     to be perpindicular second line must be  5 

    soo   y = -18/p  x +q/p        - 18/p = 5

                                              -18/ 5 = p =  -3.6

Then using red equation   -54 + 2(-3.6) = q = -61.2

x + 5y =7

18x -3.6y = -61.2

Here is a graph:

https://www.desmos.com/calculator/ln3owxicev