ElectricPavlov

Multiply both sides of equation by sqrt (4x-3) to get

4x + 7 = 7 sqrt(4x-3)      square both sides

16x^2 + 56x + 49 = 196x-147   simplify

16x^2 -140x + 196=0     Simplify a bit by dividing by 4

4x^2 - 35x + 49=0

  Use quadratic formula to find x = 7/4   and  7

Let the radii be x  y  and z

z+y = 20      

x+y= 28

x+ z = 24

multiply first equation by -1 and add to second equation to get

x- z = 8    add to third equation to get

2x= 32    x = 16     then y = 12   and z = 8

smallest radius = 8     area of circle = pi r^2     where r = 8       area =...........

Just multiply   L x W x T

                      15.5   x 7  x  4.5   in³ =..........    in³        (note that 15 1/2 = 15.5     and 4 1/2 = 4.5)

Pyramid volume = 1/3 lwh       l and w are the same (48) because it is a square base

find h via Pythagorean theorem where c (hypotenuse ) is the slant height and one leg is h and the other leg is 1/2 of the base( = 24)

26² = h² +24²          solve for h   to use in the red equation for volume (above)

Answer will be in units cm³

Add all of the frequencies    12 + 20 +........=  t_f

_{Add frequencies of 4 or more    20 + 10}

Probability =  (20 + 10) / t_f

Factors of 24     1 2 3 4 6 8 12 24      1 or  24 is not possible

36 possible rolls

2   one way

3   two ways

4   three ways

6   five ways

8   five ways

12 one way                      17 ways out of 36 possibles         17/36

Area of Large rectangle =   L x H

each smaller rectangle =  1/5 L x H

Area of trapezoid    1/2 (base1 + base 2) x H

                                 1/2 (2/5L + 1/5L) x H =  3/10 LH

% area =  ( 3/10 LH ) / LH = 3/10  = 30 %

Gee,  thanx for just giving answers, Wizard!

Jeff runs  900-800 = 100 fet per minute faster than Nikaroo

  Jeff will cover 500 ft     in     500ft/ 100ft/min = 5 minutes

900 choices less the choices of  1 and 900 = 898 choices  (it says BETWEEN 1 and 900...I assume not inclusive)

498   are less than 500  

498/898 = 249/449