How many solutions does this SOE have ?

At least 20

Step-by-step explanation:

I don't know what your answer options are or if there are more solutions beyond the picture. By counting the blue dots on the red line, you have your answer, which I counted 20 from what is seen.

*Note: Since there are dots all over the line, I assume there are likely more than the 20 shown. Hence, why I said "at least 20." If that isn't one of your options, then I would just say 20, because that is what is shown.

Edit: I saw on another one of your problems that an answer is "infinite answers" or something. That is your answer for this.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

step-by-step explanation:

d would equal 12