An odd number is a number that cannot be perfectly divided into groups of two. A perfect number is a positive integer that is equal to the sum of its positive divisors not including itself. For example, 6 is a perfect number because all of its positive divisors (1,2,3) add up to 6. Find a number (any number) that is both perfect and odd. Show your work. Explain how you know your answer is correct.
Titanic and Star Wars have made the most money at the box office. Star Wars made about 76.7% of the money that Titanic made at the box office. If Star Wars made about $461 million, how much did Titanic make? Round to the nearest million dollars. Show your work and explain how you know your answer is correct.
In the movie Honey, I Shrunk the Kids, an inventor shrinks his kids by a scale factor of about 1/240. If his kids were about 5 feet tall, how many inches tall were they after they were shrunk? Show your work and explain how you known your answer is correct.
In 69 games Darrel Armstrong of the Orlando Magic had 136 steals and 144 turnovers. What is his steals per turnover ratio? Write your answer as a ratio in simplest form. Show your work and explain how you know your answer is correct.
Many tire manufacturers guarantee their tires for 50,000 miles. If a tire has a 16-inch radius, how many revolutions of the tire are guaranteed? There are 63,360 inches in a mile. Round to the nearest revolution. Show your work and explain how you know your answer is correct.
A dog is on a 15-foot chain that is anchored to the ground. How much area can the dog cover while he is on the chain? Show your work and explain how you know your answer is correct.
A football field is 100 yards with 10 yards at each end for the end zones. The field is 45 yards wide. Find the length of the diagonal of the entire field, including the end zones. Show your work and explain how you know your answer is correct.
A 12 foot-ladder is resting against a wall. The base of the ladder is 2.5 feet from the base of the wall. How high up the wall will the ladder reach? Show your work and explain how you know your answer is correct.
The frame of a kite is made from two strips of wood, one 27 inches long, and one 18 inches long. What is the perimeter of the kite? Round to the nearest tenth. Show your work and explain how you know your answer is correct.
The base-path of a baseball diamond form a square. If it is 90 ft from home to first, how far does the catcher have to throw to catch someone stealing second base? Show your work and explain how you know your answer is correct.
In the last 150 years, the average height of people in industrialized nations has increased by 1/3 foot. Today, American men have an average height of 5 and 7/12 feet.What was the average height of American men 150 years ago? Show your work and explain why you know your answer is correct.
A brighter star has a lower magnitude. The difference between the magnitude of a full moon and the sun is less than 15. If the magnitude of the sun is 27, find the magnitude f of a full moon. Show your work and explain how you know you are correct.
If p is the regular hourly rate of pay, then 1.5p can be used to find the overtime rate of pay. Find the overtime rate of pay if the regular hourly rate of pay is $6.00 per hour. Show your work and explain how you know it is correct.
