Define x @ y as (x3 − y)/x, for distinct positive integers x and y. What is the value of 5 @ 10? Evaluating 5 @ 10 yields (53 − 10)/5 = (125 − 10)/5 = 115/5 = 23. Define a # b as a2 − b2 − ab, for...
The Washington Monument in Washington, D.C. is an obelisk. An obelisk is a tall monument with four gently sloping sides and a pyramid shape on top. The obelisk structure first appeared in Ancient...
Hydraulic engineering is a subfield of civil engineering that centers around the transport and management of water resources. Hydraulic engineers design things like channels, canals, dams and levees...
When Riya’s alarm went off on the first day of her senior year in high school, she hit the snooze button and slept for another 10 minutes. When the alarm sounded the next time, Riya got up and...
In preparation for Thanksgiving dinner, Mrs. Cobble decided to get a new tablecloth for the dining room table. Her rectangular table measures 3.5 feet by 6 feet, and she would like the tablecloth to...
In honor of Veteran’s Day, people around the country are flying American flags. For many people, finding flags to buy in stores has been next to impossible due to the great demand. Therefore, many of...
Thursday is Pi Day! For all of the following calculations, use 3.14 for pi. In honor of Pi Day, Wilma’s class is having a pie party. Wilma brought in her favorite kind of pie – apple. When she cuts...
Final exams often accompany the final days of school. Sherry has had four tests so far in her science class, each worth 1/6 of her final grade. She scored 87%, 89%, 92% and 91% on these tests. Her...
Now that 2024 is finally here, let’s see what we can do with this new number! If the perimeter of a particular square is 2024 inches, what is the area of the square, in square inches? Express your...
Cara was born on January 1, 2010, and her mother, Sydney, was born on January 1, 1982. In what year will Sydney’s age be twice Cara’s age? If we let Cara’s age be C, then Sydney’s age is S = C + 28...