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ingredients summed = final product

.10 * x ml         +      .15 (50ml - x)    =    .12 (50 ml)    solve for x the amount of 10 %

.1x +                +      7.5  - .15x    =  6

- .05x   = -1.5

x = 30  ml   of 10%

50-30 = 20 ml of 15%

15*6*8*3! 

Solve and get it. Did you understand?

first one

x-2y = 10

3x-5y = 27        multiply first equation by -3 to get:

-3x + 6y = -30    now add the bottom two equations   (this will 'ELIMINATE'  the 'x' variable)

y = -3                  

now use this value of y in one of the eqautions to find x

x - 2(-3) = 10

x =4

Solve the second one similarly.....

10000     + 10000 x (.12)  x   6mos/ 12mos   = amount after 6 months at 12% simple = 10600

10600     +10600 x (r)    x 1/2      = 11130     after six more months at   rate, r

r = .1     ~~ = 10%

Did you look under your first post?

The plot does not exist at   x = 0     so we know it is a csc function  (csc = 1/sin    and sin = 0 at x= 0 ....not allowed)

  and its amplitude is multiplied ...   the distance between the ' points '  should be  2     and it is 8 so the fxn is mutiplied by

  4  

      4 csc x    

          it is also shifted UP 2

                    4 csc x + 2

Here is a comparison graph:

https://www.desmos.com/calculator/3qdn9jvfno

It's some problem I came up with and wanted to test people. Answer if you know. I just want to say all of you are smart, and if you don't know, that's okay

Out of a total of: 5 nPr 2 =20 permutations, only these 6 are divisible by 3:

27 , 39 , 57 , 72 , 75 , 93 , Total =  6

lol it's 3

I was testing :)

So we know that \(\dfrac{3+x}{1+x} = k\), and \(\dfrac{8+x}{3+x} = k\)

8 + x = 3k + kx

3 + x = k + kx

Subtracting the second equation from the first one, we get 5 = 2k 

This means k = 5/2 = 2.5 :D

Putting that into the second equation, we get:

3 + x = 2.5 + 2.5x

0.5 = 1.5x

x = 0.5 / 1.5 = 1/3

So, your answer is \(\fbox{$\dfrac{1}{3}$}\) :D

\(4 \cdot 6 = \fbox{$24 \text{ hours.}$} \text{ Thank you, ryanthemathboi, very cool xD}\)

The only permutations that don't have 2 Fs next to each other is due other 3 letters L, U, Y plus the third F=4!

or 24 permutations out of a total of 6!/3! =120 permutations. The other 120 - 24 =96 will have at least 2 Fs together (which includes having 3 Fs together).

10%=30 15%=20 Hope this helps :)

You can't get downvoted by guests. 

Thank you! So would the answer be 75?

5 ft is to 8 ft shadow   as     x   is to 120 ft shadow

5/8 = x/120   solve for 'x' the tree height  by multiplying both sides of the equation by 120

That is incorrect, thank you though.

Thank you!

np, mathwiz, happy to help!

Also thank you to you as well!

Oh yea ok I see now, thx! 

Don't worry, I think I got it from here

instead, its the opposite way, sorry, 250/1000 and then simplify the fraction multiply 1/4 by 22000 to get the cost!

22000 $/kg   x  .250 kg  = $........