Melody

Guest, you haven't actually explained anything.  You have just written the answer.       

That is not very helpful.

My graph demonstrates that your answer is correct BUT it does not explain anything algebraically either.   

Herre is the graph that shows our guest is correct :))

Very nice Omi67  :))

Are these the questions that you intend or do you need to add brackets :/

65pt-65t + 13p-13 / 65p ^ 2 * t-65pt + 13p ^ 2 -13p = 1 / p ^ 2

9p ^ 2-9y ^ 2 / 18y ^ 2-36py + 18p ^ 2 = 1 / 2py

12 (11 * wg) * s ^ 3 * y ^ 2 * m ^ 5 / -6 * s ^ 5 * y ^ 3 * m ^ 4 (g-11 * w) = -2 m / s ^ 2 * y 

Are these the questions that you really want answered?

\((65pt-65t + 13p-13) / (65p ^ 2 * t-65pt + 13p ^ 2 -13p) = 1 / p ^ 2\\~\\ (9p ^ 2-9y ^ 2) / (18y ^ 2-36py + 18p ^ 2) = 1 / (2py)\\~\\ [12 (11 * wg) * s ^ 3 * y ^ 2 * m ^ 5] /[ -6 * s ^ 5 * y ^ 3 * m ^ 4 (g-11 * w)] = -2 m /[ s ^ 2 * y] \\~\\\)

Hi Omi,

You have answered this question

[ (4*v+4*s)/(3*m-3*j)  ]  /  [ (4*v+4*s)/(m-j) ]

But there are no brackets in the question so , the division must be done from left to right like I have done it.

Perhaps the question asker intended your question     -  I do no know what was in her/his head.    

((sin 82°)(cos 37°)) - ((cos 82°)(sin 37°))= Sin(82-37) = sin 45 = 1/sqrt2   =    2/sqrt2

Thanks EP   

Last month an orange juice distributor found that the demand for juice was 500 litres each month when the price was $15 per litre. At that time, the price was going up at a rate of $0.50 per month, but due to increased advertising the demand was also going up, at a rate of 30 litres per month. How fast was the revenue increasing?

Let me see,

Last month the revenue was  500*15       =  $7500

This month the revenue will be  530*15.5 =  $8215

8215-7500 = $715/month

That sounds right to me......

3 = e^0.1r, find r

Perhaps you mean   3 = e^(0.1r), find r

\(3 = e^{0.1r}\\ ln3=0.1r\\ r=ln3/0.1\\ r=10ln3\)

10*log(3) = 4.7712125471966244

There are an infinite number of paired solutions.

This is the equation of a line.

You can graph it but you cannot solve it.