CPhill

Let the cost of the lemonde per L   = C

Then, the cost of the juice per L   = 2C

And quantity * price per L   = total cost.....so we have

8C  + 1 (2C)  = 12

8C + 2C  = 12

10C  = 12      divide both sides by 10

C = 12/10 euros  = 1.2 euros.....this is the cost of each L  of lemonade

So.....the cost of each L  of juice is twice as much  =  2.4 euros

Check

8(1.2)  + 1(2.4)  =

9.6  + 2.4  =

12 euros

Do you want to find 70km/hr in terms of km/s ??    ......if so, we have

70km/hr *   1 hr / 3600 s   =   about  70/3600 km/s =  about 0.0194 km/s

We have

20'  =  [20/60]°  = [1/3]°

tan ( 15 + 1/3)   = H / 6.23     where H is the height we are looking for.....solve for H

H  = 6.23 tan (15 + 1/3)  = about 1.71 mi

One question, heureka.......did you you find the number of partitions by "trial and error"  or did you use some algorithm for this???

That is very nice, heureka  !!!

P=(i*A)/[1-(1+i)^-60]     multiply both sides by  [1-(1+i)^-60]

P * [1-(1+i)^-60]   =  i * A    divide both sides by i

P * [1-(1+i)^-60] / i    =  A

40'  =   [40/60] °   =  [2/3] °

We can use the tangent function, here

tan [ 23 + 2/3]   =  75.3  /  D     where D is the distance we want........solve for D

D = 75.3  / tan [23 + 2/3 ]   = about  171.8 ft

OK.....thanks, Alan......I think yours is the correct interpretation......!!!!

46 min =  46/60°  = 23/30 °

Using the tangent function, we have

tan [31  + 23/30]  = H /   152.3    where H is the pole height  ......     solve for H

152.3 * tan [ 31 + 23/30]  =  H  = about 94.3 ft

The radius of this tent - when lying flat - will  equal 18 ft

But......when standing.....this will form the slant height of the tepee

However....we have a problem.......the slant height  of this tepee  can never be the same as the standing height [ the slant height has to be greater]

Are you sure you have your numbers correct ????