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x is a letter.

5/6 min for first lap

second lap   5/6 x 13/12

third lap        9/10  (5/6 x 13/12) = 585 / 720   minute =585/720 =   13/16 min

2^4  3^4    would work......

2 x 3 x 3 x 5 x 11         2+11 = 13

\(\frac{31}{11111} \)

equals

0.0027900279(00279)

So....the repeating string is 5 digits in length

thanks lol

97!  =

97  itself is prime......so it is the largest prime factor of 97!

Can you clarify a bit with the nubers? What's five six's minute for example?

100/(5.5+3.2)=11.49 seconds.
Check by (5.5*11.49)+(3.2*11.49)=100

First  one

a  =  58°

b =   32°

So

3a + 2b  =

3(58) + 2(32)  =

238°

Second one

Since SW is an altitude....then angles TSW and USW  sum to   180 °

And since STUW is a quadrilateral....then....

n + p  = 180°

m =  90  - 55   = 35°

So

m + n + p   =

35  +  180  =

215°

66%  =    66/100  =   33/50

Note that AN =  36

And since O  is the midpoint  of  AN, then  AO  = 18

And 

GR  = 2RH

So

GR + RH  =  36

2RH + RH  =  36

3RH   = 36 

RH  = 12 

So GR  =  24

So

GR  - AO  =  PQ

24  -  18   =  PQ  =  6

Yep, GM....got your message.....

In a regular hexagon,  a vertex  angle  =  120°

So

3m + 40  = 120                       2n - 30  =  120                    

3m =  80                                 2n  =  150

                                                 n  = 75

So

3m  +  n   =

80   +  75  =

155°

Let the  side of the pentagon  = x  and the side of the hexagon  =  y

2AB  = 3MN

CD  + QR    = 10   ......so.....

2x  = 3y

x  +  y  =  10  

2x  - 3y    =  0

x    +  y  =  10              multtiply  the second equation by 3

2x  -  3y  =  0

3x   + 3y   = 30          add these

5x  =  30

x  = 6

And y  = 4

So

4BC + 5PQ  =

4(6) + 5(4)  =

24  +  20  =

44

First one

In a parallelogram, two adjacent angles  sum to 180°

So

x  + (x - 32)  =  180

2x - 32  =  180         add 32 to both sides

2x  =   212                divide both sides by  2

x  = 106°

Second one

We have an irregular pentagon

The sum of the interior angles  = 540°

So

84  +  12x  + 92  + (9x - 16)  +  (13x + 6)  = 540       simplify

166 +  34x  = 540              subtract 166 from both sides

34x  = 374        divide both sides by  34

x  = 11

The length  of one side of the square must  be  48 / 3   =   16

And in the rectangle we have that

L - W  = 7

So

L - 16  = 7   add 16 to both sides

L  = 23

Let z   =  4

Let  m  = z + a

Let n  = z + b

And  we  can    find  a, b    such that

ab   =  z^2

ab   = 4^2

ab  = 16

The factors of 16 are

1  2  4  8   16

So

a   b

1  16

2    8

4    4

So

m      n

5      20       accept

6      12       accept

8       8        reject    since  m,n  are distinct   

Point $C$ is on the segment $AB$ which has endpoints $A(-1, 0)$ and $B(3, 8)$. Point $C$ is three times as far from point $A$ as it is from point $B$. What are the coordinates of point $C$?

We can find the coordinates of C  as follows :

[  -1  + (3/4)( 3 - -1)  ,  0  + (3/4)(8 - 0) ]  =

[-1 + (3/4)(4)  ,  0 + (3/4)(8) ]   =

[ -1 + 3,  0 + 6 ]  =

( 2, 6 )  =  C

nvm i figured it out. 

Note that the greatest divisor  of 32 and 48  =  16

So....she can give bags to 16 friends  consisting  of  2 pencils and 3 pens each

I am not sure ywhat you are asking. 

I think you are asking for a little program to find the power when it is written in scientific notation?

How about having a counter.

1    counter      c=0

2     number      n=50000000000000000000000   (or whatever the original number is)

3   Test: Is the number n less than 10?

4   If yes, then n is the power and END

5    If no, then add 1 to counter

6    replace n with  n divided by 10  

7     Go to step 3

I have not checked my logic thoroughly but that seems like a good outling of a little program that will do this