You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way home. The total ride time is 22 minutes. How far away is school? Round your answer to the nearest hundredth of a mile

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2