(im on test, giving good amount of points for this )the ratio of monarch butterflies to queen butterflies at a butterfly farm was 7: 5. if there are no additional butterflies at the farm, what is the ratio of queen butterflies to the total number of butterflies at the farm? 12: 5 12: 7 5: 12 7: 12

5:12

Step-by-step explanation:

If the ratio of Monarch's to Queen's is 7:5, then the ratio of the Queen butterflies would be 5. The total ratio of butterflies at the farm is 7=5, which equals 12. So therefore your answer is 5:12

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0