There are 4,200 butterflies. 800 are orange, 200, purple, 400 are yellow and the rest are blue. What fraction of the butterflies are blue ?

2/3

Step-by-step explanation:

First you add all the colors. Then you subtract that number from 4200 to get the total number of blue buterfiles. After that, you put the total number of blue butterflies in the numerator and the 4200 would go in the denominator. Then you reduce until u get the final fraction.  

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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