Compare this to the same robot with 4 wheels (instead of tread) that each touch a section of ground that is 3 cm × 5 cm. How much weight is on each square centimeter of the wheels?
Robots often have two treads (like tank treads) instead of four wheels. You can calculate the amount of weight a tread or wheel is carrying per square inch of tread or wheel by dividing the weight of the robot by the total area of the tread or wheel on the ground. If a robot weighs 120 kg and each of the robot’s 2 treads touches an area of ground that is 30 cm long and 5 cm wide, how much weight is carried over each square centimeter of tread? Express your answer as a decimal to the nearest tenth.
If Minh picks a letter of the alphabet at random, what is the probability it occurs in the name “Hattiesburg, Mississippi”? Express your answer as a common fraction.
The population of Circletown has been growing at an annual rate of 5% for the last 5 years. The population is now 3105 people. What was the population of Circletown 5 years ago? Express your answer to the nearest whole number.
Three fair six-sided number cubes, each with faces labeled 0, 2, 4, 6, 8, 10, are rolled. What is the probability that the sum of the numbers rolled is greater than 20? Express your answer as a common fraction.
The sum of four consecutive even integers is 596. What is the product of the least and greatest of these integers?
The mean score on Mr. Pascal’s first semester exam for his 28 students is 73 points. If he removes the lowest score of 19 points, what is the adjusted class average (arithmetic mean)?
Points A, B and C are collinear, with B between A and C. If the distance from point A to point B is 8 more than twice the distance from point B to point C, and the length of segment AC is 5 times the length of segment BC, how long is segment AC?
Lashae will plant pansies and violets around the edge of her garden. She must use the same number of each plant, and she must use all of the flowers she buys. If pansies are sold in packages of 6 and violets are sold in packages of 10, what is the least number of packages of violets she could buy, given that she buys at least 1 package?
Vivian has 45 songs on her MP3-player, 15 of which are alternative rock and the rest of which are rap. Malik has 60 songs on his MP3-player in the same ratio as Vivian’s songs. How many more rap songs does Malik have on his MP3-player than Vivian has on hers?
How many ways can the letters in FACTOR be rearranged so that the first and last letters are vowels?
A rectangular prism has dimensions 4 by 6 by x. If the total surface area of the prism is 248 square units, what is the value of x?
A bouncy ball bounces 16 feet high on its first bounce and exactly half as high on the next bounce. For each later bounce, the ball bounces half as high as on the previous bounce. How many inches high does the ball bounce on its seventh bounce?
The supplement of an angle is 5.5 times the complement of the angle. What is the measure of the angle?
Gary chooses a two-digit positive integer, adds it to 200, and squares the result. What is the largest number Gary can get?
Billy was playing a trivia game. According to the rules, Billy would receive 25 points for each question he answered correctly but would lose 50 points for each question he answered incorrectly. At the end of the game, Billy had a total of 450 points. He had 5 times as many questions correct as incorrect. If Billy answered every question, how many questions were asked in the game?
A group of 5 women and 8 men weigh a total of 1921 pounds. If the women of the group have an average weight of 109 pounds, what is the average weight of the men in the group?
If Jordan passed mile marker 138 at 5:08 pm and then passed mile marker 216 at 6:20 pm, what was her average speed in miles per hour?
Two consecutive angles of a regular octagon are bisected. What is the degree measure of each of the acute angles formed by the intersection of the two angle bisectors?