A particular rat given n trials in a maze can run through the maze in t minutes, where t=6+20/n+2. How many trials are needed so that the rat can runthrough the maze in exactly eight minutes?

ambiguous equation.

Did you mean

t = 6 + 20/(n+2)
or
t = 6 + 20/n + 2 , the way you typed it
or
t = (6+2)/n + 2
or
t = (6+20)/(n+2)

each would give you a different result.

Reiny the problem is t=6+20 over n=+2

To find the number of trials needed for the rat to run through the maze in exactly eight minutes, we need to solve the equation t = 8, where t = 6 + 20/n + 2.

First, let's substitute the value of t into the equation:

8 = 6 + 20/n + 2

Now, let's isolate the variable n by subtracting 6 from both sides:

8 - 6 = 20/n + 2 - 6

2 = 20/n

Next, we can cross multiply to get rid of the fraction:

2n = 20

Now, divide both sides by 2:

n = 20/2

n = 10

Therefore, the rat needs to go through 10 trials in order to run through the maze in exactly eight minutes.