Logarhythm

Nice answer Cubey, but I think I got something different from yours..

:0 I think this is for spirit of math right

4b² - 12b = 4b(b - 3)

27b + 18 = 9(3b + 2)

18b³ - 128b = 2b(9b² - 64)

                    = 2b(3b + 8)(3b - 8)

63b² - 282b - 216 = 3(21b² - 94b - 72)

                             = 3(3b + 2)(7b - 36)

Then you put these over the fractions:

= 4b(b - 3) / 2b(3b + 8)(3b - 8)  -   9(3b + 2) / 3(3b + 2)(7b - 36)

= 2(b - 3) / (3b + 8)(3b - 8)  -  3 / (7b - 36)

= (2(b - 3)(7b - 36)  -  3(3b + 8)(3b - 8)) / (3b + 8)(3b - 8)(7b - 36)

= (14b² - 114b + 216 - 27b² + 192) / (3b + 8)(3b - 8)(7b - 36)

= (-13b² - 114b + 408) / (3b + 8)(3b - 8)(7b - 36)   ; b ≠ 0 , ±8/3 ,  -2/3 , 36/7

25000 * 0.63 = 15750 voters

They are similar triangles. We can take the ratios of the sides to find the height of the palm tree.

10/2.5 = 4, which means each side is 4 times larger 

1.5 * 4 = 6 m, which is your answer :)

By splitting the sides into 30 60 90 triangles, we can figure out BC easily.

BC = 6√3 ÷ 2 + 16 + 6√3 ÷ 2 * √3 * √3

      = 3√3 + 16 + 9√3

      = 16 + 12√3

or   = 4(4 + 3√3)

10mph for 90 minutes = 10 x 1.5 = 15 miles

This means that it took 2 hours to bike 15 miles. This means you're going at 7.5mph

y = √(12 + x)² - 15²

y = √x² + 9²

This means:
√x² + 9² = √(12 + x)² - 15²

x² + 9² = (12 + x)² - 15²

x² + 81 = x² + 24x + 144 - 225

x² = x² + 24x - 162

162 = 24x

x = 6.75

y = √x² + 9²

   = √(6.75)² + 81

   = √(45.5625 + 81)

   = √126.5625

y = 11.25

-7 = 1.05w

-20/3 = w

(360 - 76 * 2) ÷ 2 

= (360 - 152) ÷ 2

= 208 ÷ 2

= 104^o

5x - 24 = 3 * 2 

5x - 24 = 6

5x = 30

  x = 6