ElectricPavlov

o = m

o / 3   * 2    = cost of oranges

m / 4 * 3     = cost of mangoes

o/3 *2 +5 =  m/4 *3           remember o = m

m/3 * 2 + 5 = m/4 * 3

m = 60       AND  o = 60           then o cost = 40     and    m cost = 45       total 85 dollars

Tan D = opp/adj = EF / DE  

Tan 25 = 19 / DE

DE = 19 / tan(25) = ....................

30 minutes is  1/2 hr

4 km / (1/2 hr ) =   8 km/hr

Kyle : Steve   =   7:1       so there are  7+ 1 = 8 'shares'      each share is then 24/8 = 3 dollars

            so kyle has   7 shares = 21 dollars      then spends 11 dollars leaving 10 dollars.

Need the diagram ....

x^2+10x+y^2+16y   = k        now complete the square for x and y

(x+5)^2     +  ( y+8)^2   = 25 + 64  +k      the red part = r^2    ( which = 6^2 = 36) 

r^2 = 89 + k    = 36    solve for k

         k = -53

A natural number is square free if it is not the multiple of any perfect square greater than 1.

Then this list of numbers should not include   12  18   20  24   27   40   80    etc . 

19.      12² + b²  = 20²

20.     5²  +  10²   =   25   + 100  = 125 = c²           ( 'c' then = sqrt (125)  )

The amount of tax he has to pay is :

   the amount of his bill   x   .05 = .........................

(amount) X .05   =  15.00

amount =  15.00 / (.05) = $...........................