The play director spent 190 190190 hours preparing for a play. That time included attending 35 3535 rehearsals that took varying amounts of time and spending 93 3 4 93 4 3 93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play.

The equation gives average time spent on 35 rehearsals.

Step-by-step explanation:

Please consider the complete question.

The play director spent 190 hours preparing for a play. That time included attending 35 rehearsals that took varying amounts of time and spending hours on other responsibilities related to the play. What question does the equation help answer?    

Since time spent on each rehearsal is 35 hours, so time spent on 35 rehearsals would be .

hours is time spent on other responsibilities related to play. The sum of these times equals to total time spent on preparing the play.

Now let us solve our equation step by step.

Time spent on 35 rehearsals is 96.25 hours and we are told that each rehearsal took different amount of time. Dividing 96.25 by 35 we will get average time spent on each rehearsal.

Therefore, equation gives average time spent on 35 rehearsals.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80