um I am in desperate need of assistance with this algebra homework please as soon as possible please

Question

1.) Perform the indicated operation and simplify. Assume that all variables result in nonzero denominators.

A.) 

B.) None of these

C.) 6

D.)

 

E.) 0

2.) Lisa averages 15 mi/h cycling to her school carrying her friend and 20 mi/h on the return trip alone. What is Lisa's average speed for the entire trip rounded to the nearest tenth?

A.) 17.5 mi/h

B.) 20.4 mi/h

C.) 17.1 mi/h

D.1) 20.0 mi/h

Answer 1

A) There already is a common denominator so the answer is (6x-30)/(x-5) = 6.

B) Suppose she travels 10 miles.

Going takes 2/3 of an hour and coming back takes 1/2 hr.

She goes 20 miles in 7/6 of an hour.

Therefore her average rate is 20/(7/6) = 120/7=17 1/7 which rounded off is 17.1