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(9/5-3/8)divided by 5/4

9/5 - 3/8   Use the GCD of 5, 8 =40

72/40  -  15/40 =

[57/40] / [5/4] =

[57/40]  x  [4/5] =

228 /200 =1  7/50

|0.7x+5|>6.7   Remove the absolute value

0.7x + 5 > 6.7  subtract 5 from both sides

0.7x > 1.7          divide both sides by 0.7

x > 2.42857

hey rosala, I've been probably the happiest I've ever been to say the least xD good to see Camelot isnt forgotten!! and yes i do have the time, so bring in the fun!!

hello to melody and cphill as well!!

It looks OK, except for the amount inside the bracket. It should read $13,888.88, so that:

P =t(13,888.88)  +  $250,000,  where t = 18 years. However, in cases such as this, exponential growth is more realistic and it would look like this:

$500,000 = $250,000 x [1 + i]^18. The task here would be to find i, which is very easy and it comes to=3.926%.

what is the inverse of f(x)=1/3x-7 ?

\(y=\frac{1}{3}x-7\\ y+7=\frac{1}{3}x\\ 3(y+7)=x\\ x=3(y+7) \)

So the inverse of

\(f(x)=\frac{1}{3}x-7\qquad is\\ f(x)=3(x+7)\)

See how the inverse is the refletion of the original function about the line y=x  ?

All inverse functions are the reflection of the original function about the line y=x !!    

Expected value =

Amt spent * (probability of losing)  +  Jackpot * (probability of winning)  =

-3 * (99,999/100000) +   250,000* (1/100000)  ≈  -$0.50

CPhill Sep 1, 2017

If the parabola is in the from

\((x-h)^2=4a(y-k)\)

then

The vertex is (h,k)

The focal point is  (h,k+a)      That is a units up from the vertex

and 

The directrix is   y=k-a

Sum of  16.7 - 2,4 =14.3 square it:

14.3^2 =204.49  divide it by 2

204.49 / 2 =102.245............(1)

15  -  3  =12  square it

12^2  = 144.........................(2) 

Subtract  (1) from (2)

144  -  102.245  = 41.755

Guests answer is correct but your formula is wrong

This is what it should be.

S=n(n+1) / 2

x is undefined because x is not contained within the given equation

3​,11, 18 , 33 , 65 , 123 , 216

8,  7,  15,  32,  58,  93

  -1,   8,   17, 26,  35

   9,  9,  9,  9.........., so, your sequence would continue like this:

3, 11, 18, 33, 65, 123, 216, 353, 543, 795........etc.

P.S. You could also use this formula to give any term that you want:

a(n) = 1/2 (3n^3 - 19n^2 + 52n - 30)

[59 - 4] / 5  + 1 =12 terms in the sequence

[59 + 4]  x  12/2 =

    63   x         6     =378

[ 780 x 781] / 2 =304,590

Because 5+1=2+4=6, then we can make them subtract from each other and multiply it to the remaining numbers to get 0.

3*[(5+1)-(4+2)]=0

CPhill: Is this solution close to Sam Lloyd's solution?
             
When the ferry boats meet at point "X" they are 720 yards from one shore.  The combined distance that both have traveled is equal to the width of the river. When they reach the opposite shore, the combined distance is equal to twice the width of the river.  On the return trip they meet at point "Z" after traveling a combined distance of three times the width of the river, so each boat has gone three times as far as they had gone when they first met. At the first meeting, one boat had gone 720 yards, so when it reaches "Z" it must have gone three times that distance, or 2160 yards.  So, this distance is 400 yards more than the river's width, so all the math work we have to do is to subtract 400 from 2,160 to get the river's width.  It is 1,760 yards which is exactly one mile.
The amount of time each ship spent at the landing does not affect the problem.

A=l*w

l=length

w=width

A=area

a * b * c  =  -216

a + b + c  = -18

Since you don't specify that all three have to be different, the first thing that springs to mind  is

a = b = c  =  -6

Yet...one more way.....!!!!

294  = 

2 * 147 =

2 * 3 * 49 =

2 * 3 * 7 * 7

546  =

2 * 273 =

2 * 3 * 91  =

2 * 3 * 7 * 13

Match the factors in red

2 * 3 * 7   =  42

Haha it was good! Just letting this guy know for the future though.

Well, you just posted this in the question catogory haha! You want to make your post off-topic so you don't get in trouble!