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230  -  x               4

_______    =     ___               cross-multiply

65   -  x               1

230  -  x  =  4 (65 - x)

230  -  x   =   260  -  4x

4x - x   =  260  -  230

3x   =      30

x =   30  /3    =   10  =  number each gave away

what is the answer?

Area of  ZWDC   =

130  =  (1/2)  ( DC) (WC + ZD)                    (DC = AB)

260  =  (15)  (  6  +  ZD)

260  / 15   = 6 +  ZD

52/3  =  6 +  ZD 

52/3 - 18/3  =  ZD

34/3  =  ZD  =   BW

And  triangle  BQW  is  congruent  to triangle   DQZ

So....the  height  of   BQW  =  AB/ 2  =    15/2

So  [BQW ]     =  (1/2) ( BW)  ( height)  =  (1/2) (34/3) ( 15/2)    =     85/2  =   42.5

I tried, but couldn't figure out the answer. :((

x - sqrt(x+6) = sqrt(y+6) - y

x + y = sqrt(y+6) + sqrt(x+6)

I'm not sure if this is true, but I feel like the maximum value of x+y would be when x = y. 

So x = y = 3, making x + y = 6. 

=^._.^=

22.31  + .27  - 1.12   - 1.16  + .10    =     $20.40

Solve for x.

3x = 45 - 18

what is .125% of 8.02*10^10?

Aran has 3/6

Jon has 2/6

Kiona has 1/6

Aran 1x1/2=1/2, 2/4, 3/6

Jon 1/2x2/3=2/6

Kiona 1/2x1/3=1/6

(x - 2) ( 25 - x^2)  =  -50

25x  - 50  - x^3  + 2x^2  = -50          add 50  to  both sides

-x^3  + 2x^2  +  25x  =  0               multiply through by -1

x^3  -  2x^2  - 25x  =  0                 factor

x  ( x^2  - 2x   - 25)  =  0

x = 0            and        x^2   -  2x   -  25   =  0

                                 complete the square on x

                                   x^2  - 2x + 1  =  25 + 1

                                     (x  - 1)^2  =   26               take both roots

                                     x - 1  = sqrt 26               x - 1  =  - sqrt 26

                                     x  = 1 + sqrt 26               x  =  1  - sqrt 26

\(\frac{x+2}{4x+8}-\frac{3-x}{x^2+2x}\)

= \(\frac{(x+2)(x^2+2x)}{(4x+8)(x^2+2x)}-\frac{(3-x)(4x+8)}{(x^2+2x)(4x+8)}\)

= \(\frac{x^3+4x^2+4x}{(4x+8)(x^2+2x)}-\frac{-4x^2+4x+24}{(x^2+2x)(4x+8)}\)

= \(\frac{x^3+8x^2-24}{(x^2+2x)(4x+8)}\)

= \(\frac{(x+2)(x^2+6x-12)}{x(x+2)(4x+8)}\)

= \(\frac{x^2+6x-12}{4x^2+8x}\)

Restrictions: X cannot equal 0, -2, as these values would make the denominator 0.  

the mode is found by how much of the same number there is making the mode 1

the average is found by adding up all of it and dividing it by how many there is making is 4.2 if you need to round it, tha anwser is 4

M  +  18  =  4M

18  =  4M - M

18  =  3M

M =  18/3    =   6   

4M  =   4(6)   =   24  sold   by Luke

30  / (1/4)    =  120 per hr

L / O =   8 / 7

L =  (8/7)O

O                            2

_______   =       ____               cross-multiply

L - 36                    1

2 ( L - 36)  =  O

2L  -  72   =  O                   divide through by 2

2 (8/7)O  - 72  =  0

(16/7)O  - (7/7)O  =  72

(9/7)O  =   72

O  = (72)(7/9)  =  56

L = (8/7) (56)   =   64

56 +  64    =   120

Because \(f^{-1}(f(x)) = x\), \(f^{-1}(f(3)) = 4\), simplifying to \(f^{-1}(4) = 3\).  

Thus, \(f(5) + f^{-1}(4) = 1+3 = 4\).  

The answer is 4.

Because f(x) is the inverse of \( f^{-1}(x)\), and g(x) = \( f^{-1}(x)\), f(x) is the inverse of g(x).  Thus, if g(15) = 0, g(0) = 4, g(3) = 9, g(9) = 3, then f(0) = 15, f(4) = 0, f(9) = 3, f(3) = 9.  

Thus, f(f(9)) = f(3) = 9

From 1-50, the numbers that are congruent to 2 (mod 8) are 2, 10, 18, 26, 34, 42, and 50.  Altogether, this totals as 7 numbers.  With there being 50 numbers between 1 and 50, the probability that the tile is blue (congruent to 2 mod 8) is 7/50, or 14%.

Linus baked 64 cookies, and Omar baked 56 cookies.  Together, they baked 64+56 cookies, or 120 altogether.

Here is  the  graph  of  both lines  :

https://www.desmos.com/calculator/pkprlucfwy

F = ma

m_sa_s   = m_b a_b

a_s / a_b  =  m_b / m_s    =  150/200  = 3/4

x = 0, 1+√26, 1−√26

2009       27

2010         5

2011        20

2012        26

2013        15

2014        17

Avg  =   (27 + 5 + 20 + 26 + 15 + 17) /  6  =      110/6  =  55/3   

Range  =    27  - 5   = 22

Median  =   (17 + 20) / 2  =  37/2   =  18.5

A cool trick is that if the line is parallel, the Ax + By is the same. (I think)

So I don't think we even need to find the line. 

CPhill is completly right, but I assume that your question wanted it simplified. 

-3x  - 9y  =  3

x + 3y = -1

1 - 3 = 2

=^._.^=

Alan gives 1/2 away      he has 1/2 left

J   has 1/2 but gives 1/3 of this to k      j now has   2/3 * 1/2  = 1/3  left     and   k has 1/3 * 1/2 = 1/6

Number  of  coojkies  eaten by day  =

1, 11,  3, 5 , 1

(a)  avg  =    sum of above   / no. of days   =    ( 21) /   5   =   4.2  per day

(b)  mode = number  that appears  the most times =   1