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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

As follows:

Two examples of an idiom are:

Break a leg!----Which means Good Luck
Its raining cats and dogs!----Which means its raining really hard

If I understand your question, then there are 21 such numbers as far as I could tell as follows:

(1222, 2122, 2212, 2221, 11122, 11212, 11221, 12112, 12121, 12211, 21112, 21121, 21211, 22111, 111112, 111121, 111211, 112111, 121111, 211111, 1111111)>>Total = 21 such numbers

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)

Neat question.

Easy when you see the method.

Easy enough to do in your head.

 25^5 * 150^4 * 2008^3 = 40,027,291,593,750,000,000,000,000

As you can clearly see, there are 13 trailing zeros.

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

The twin paradox is the theory that if one of two twins travels at near the speed of light for a while, then returns to Earth, then the twin who travelled is now younger than his brother. 

I agree that the answer is time dilation.  I'm posting a comment.  If that fifth choice was supposed to be "c" meaning the speed of light, then it should have been a lowershift c, not an uppershift C. 

_.

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

Sorry for not answering earlier. I tried to use that, but I dunno what happened there.

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 %

Sorry About that, and yes. 

\( \begin{tabular}{c|ccccccc} 7 & 9 \\ 8 & 1 & 3 & 3 & 3 & 5 & 5 & 8 \\ 9 & 4 & 9 \end{tabular} \)

Mode is the most times a number is in a group. For example, if you have in a group, 1 1 1 2 3 4 5 6 7 &8, then 1 would be the mode. Mean is the Average.