Math help Please?

Question

need help with four problems please. Thank You.

1.Dividing (x + 5)/(x^2 - x -30) by (x + 6)/(x^2 -36) results in 1. Is this true.

2.Divide by factoring and then reduce. (x^2 + x - 6)/(x + 3)

3.Reduce (x^2 - 4x - 12)/(x^2 +5x + 6)

4.A jogger completed a workout of 5 miles per hour. His average rate of speed in minutes per mile would be 12. Is this false

Answer 1

(x+5)/[(x+5)(x-6)] times (x+6)(x-6)/(x+6), everything cancels, so the answer is indeed 1.

(x+3)(x-2)/(x+3) = x-2

(x-6)(x+2)/(x+2)(x+3) = (x-6)/(x+3)

hour/5 miles x 60 min/mile = 12 min/mile, yes.