Wendy can ride her bike 0.8 miles in 6 minutes how many miles can she ride her bike in 2.5 hours

20 miles

Step-by-step explanation:

Set up a proportion...

0.8 miles is to x miles as 6 mins is to 2.5 hours

*You need to convert 2.5 hours into minutes first, since the first part is in minutes.  There are 60 minutes in an hour, so there are 60(2.5) = 150 minutes in 2.5 hours

0.8/x = 6/150

Now solve for x by cross multiplying...

0.8(150) = 6x

    120 = 6x

       20 = x

She can ride 20 miles in 2.5 hours

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11