In the school band, 5/8 of the students play a brass instrument. Only 1/5 of the students who play a brass instrument play the trumpet. What fraction of the band students play the trumpet?

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  1/8

Step-by-step explanation:

1/5 of 5/8 is ...

  (1/5)(5/8) = (1·5)/(5·8) = 1/8

1/8 of the band students play the trumpet.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1