The play director 790 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Complete question :

The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

C. How long was each rehearsal?

Step-by-step explanation:

Total time spent preparing for play = 790 hours

Of the 190 hours :

Number of rehearsals = 35

Others = 93 3/4 hours

What question does the equation 35 x + 93 3/4 equal 190

35x + 93 3/4 = 190

(Number of rehearsals) * x + others = total time

x = time spent on each rehearsal

35x = 190 - 93 3/4

35x = 96.25

x = 96.25 / 35

x = 2.75 hours

Each rehearsal took 2.75 hours

Step-by-step explanation:

Using quadratic formula:

We will have 2 solutions.

x^2+8x+16=2

x^2+8x+14=0

a= 1    b=8   c= 14

We can write:

so, we have:

simplifying we have:

Finally: