CPhill

Happy7, key in

(4/9)*45

I get 20 ........ ???

We have

x * 45= 20   divide both sides by 45

x = (20 / 45) = (4 / 9) 

(√3*√2) / 2 =

√6 / 2

Here's one more final take on this problem for me.....note that no number is divisible by 7 or 11.

This means that, at least one 7 and one 11 must be used to form any possible number. Thus, 18 will be used in the addition process.

So......

61 - 18 = 43 and neither 7 or 11 divides this......43 - 18  = 25  and neither 7 or 11 divides this....25 - 18 = 7 and 7 divides itself

So.....61  =  3(18) + 7 =  3(7 + 11) + 7  = 4(7) + 3(11)

60 - 18 = 42   and note that 7 divides this....so 60 = 1(18) + 6(7) = 1(11 + 7) + 6(7) = 7(7) + 1(11)

58 - 18 = 40   ......40 - 18 = 22......22 - 18 = 4  .....note, however.....58 - 11 = 47  .......47 - 11 = 36 and 18 divides this

So...58 =  2(11) + 2 (18)   = 2(11) + 2(11 + 7) = 4(11) + 2(7)

And we have seen that 59 cannot be made by any linear combo of 7 and 11

Let's write this in y = mx + b form where m is the rate of change (i.e., the slope) and b is the y intercept....so we have

y = -4x + 5

So...the slope is -4 (y changes by -4 when x changes by +1) and the y intercept is at 5 .....or, the point (0, 5)

This is the equation of the line y = 5x + 15.....the slope is 5 and the y intercept is (0, 15)

I don't understand the words coming out of your mouth......LOL!!!!!!

Thanks, happy7....!!!!

So, I believe we have  ...   (1/4)(4x + 15) = 24      muliply both sides by 4

4x + 15 = 96      subtract 15 from both sides

4x = 81              diivide both sides by 4

x = 81 / 4