A lap around the track is equal to one-fourth of a mile. A runner runs 5 laps in 12 minutes and 30 seconds. What was the runner's average speed in miles per hour?
Do not include units (miles per hour) in your answer.
Type your answer below as a number (example: 5, 3.1, 41/2, or 3/2):

How far is x from 5 on a number line?

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).