Which of the following is the solution to 6/(x+2) = 5/4x?

19/10

10/19

-19/10

-10/19

The answer to your question is     x = 10/19

Step-by-step explanation:

Equation

                      6 / (x + 2) = 5 / 4x

To solve this equation use cross multiplication

                      6(4x) = 5(x + 2)

Simplify

                     24x = 5x + 10

Subtract 5x in both sides of the equation

                     24x - 5x = 5x - 5x + 10

Simplify

                     19x = 10

Divide by 19 both sides

                     19x/19 = 10/19

Simplify

                         x = 10/19

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.