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2...

what is the sum of -5 and 7

- 5 + 7 = 2

!

sin(x)=0,136 265

what is x

sin(x)=0,136 265

x = arcsin 0,136265

x = 7.83177° = 7° 49' 54.4''

or

x = 0.136690261178

!

Thanks for warning your comment was off topic I totally agree. See ya

Where do you get the 40% more from?

The last time I checked 8 was 66.66...% more than 12.  

Sorry, guest.....I couldn't see 20 clearly [or I mis-read it].....but.....if it says that   AD = DB and AE = EC.....then the sides are cut propotionally by DE. That is, each side is bisected by DE. So, triangle ABC ~  triangle ADE.

By Euclid.....if the sides of a triangle are cut proportionally, the line joining the points of intersection is parallel to the remaining side......thus DE is parallel to DC....and we proved in (18) that, if this was so, the triangles were similar

If you are  interested, here's Euclid's proof :

http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI2.html

Let y be the number of large boxes and x be the number of small ones.

The possibilities for this problem occur in the intersection  of the inrequality  y > x with the equation of the line 10x + 8y = 96. as shown in this graph : https://www.desmos.com/calculator/o77ftjozeh

The only integer solutions occur at (0,12) and at (4, 7)

So.....if we require that we send at least one box of both types, the guest's answer of 4 small and 7 large cartons  is correct.

However, if we don't have this requirement......it is possible that we could just ship 12 cartons filled with large boxes only.....

y = 3xcosx

and the slope at any point on this cure is given by the derivative of this function.....so we have....

y ' = 3cosx - 3xsinx  =   3[cosx -xsinx]

So, the slope at (pi, -3pi)  =

y '(pi)  = 3 [ cos (pi)  - (pi) sin (pi)]   =  3 [-1  -  pi*0]  =   3 [-1]  = -3

And the equation  of the tangent line at this point =

y - (-3pi)  = -3(x - pi)

y + 3pi  = -3x + 3pi

y = -3x

I kind of used trial and error but my reasoning is as follows.

7 x 8 = 56 boxes. (LARGE BOXES) 7 cartons

4 x 10 = 40 boxes. (SMALL BOXES) 4 cartons

96 total boxes and 11 cartons

If anyone has a technical method they can contribute. 
 

CPhill knows my explanation has much better reasoning though. 

Not really...

The answer would simply just be 3. As you are guareenteed one of the following possibilities

WWW, WWB, WBW, WBB, BWB, BWW, BBW, BBB all guarenteeing a pair

Thanks, Rarinstraw and VelvetMusic

Word to "guest".....Rarinstraw's explanation couldn't have been more simple!!!!

Multiply as if the terms in parentheses are one term.

10/7 * (8-8n)/1 = 10(8-8n)/7

80-80n/7 would be the final answer. There is no way to simplify it farther. :)

Maybe because it said that they had enough for 12 people to have it for 10 days. 12*10=120. :)

There does not seem to be any that are within my capabilities. Any other actions I should take?

Learn to hold ur tongue b***h :)

You seem to mean to be just anyone... Do you have an account?

Answer some serious questions rarin

You are quite welcome

My answer is the simplest possible solution. How can you accurately determine there were 120 rations that is a made up fantasy. He is just cant comprehend simple percentage ratios that 40% more equals 40% less.

Lol right as I say it too.