ElectricPavlov

Cool.....I forgot all about that !    Thanx , M !   

diameter of the circle is then   3/4 ( 100 000 light years) = 75 000 l-y  

circumference is then  pi*  75 000 l-y  

speed = d/ t   = 75 000 pi l-y / 2x10⁶  years         now you have to convert it to the units you want .... 

I think there is only two possibilities     HTHTHTHTHT    THTHTHTHTH   out of 2¹⁰     <===== you can finish

common difference , d = -3

a1 + 82 d  = 83rd term

-23 + 82(-3) = ______________

50 describes it best           y = amount of money he has    x = time in months          y = 50 + 30x 

p = origina amount

p - 1/2 p  -  1/4 p  - 1/6 p  = 3

(12-6-3-2)/12 p = 3

1/12 p = 3

p = 36 pearls

Put everything except the constants on one side

x^2 -28x     + y^2 +2y = 28    complete the squares for x and y

(x-14)^2      + (y+1)^2   = 28 + 196 + 1 =225

center is   14,-1       radius is sqrt225 = 15   <=========you can finish

8 or -8

x = price

Jack paid    48 + 2/11x

  Paul paid 3 times as much

48 + 2/11 x   +  3 (48 + 2/11 x)  = x

192 = 3/11 x

x = 704

So jack paid   176     <====== you can finish ~!

From the first    a = 384/b⁴     sub this into the second equation for a    then solve for b   and subsequently 'a'