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...
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...
The July 4 holiday is one that many people plan their summer vacations around. Peggy works a Monday through Friday job that has the following July 4 holiday policy. If July 4 falls on a weekend...
Electrical engineers design, develop and test electrical equipment that is used in a variety of ways. From tiny microchips to the electricity that powers our homes and businesses, electrical engineers...
A baby rabbit moves 5 inches forward with each hop and his mother moves 14 inches forward with each hop. After the mother and baby each hop 10 hops in the same direction, the mother stops and waits...
Sun City earned its name because it rarely rains there. In fact, it rains only 54 days each year there, on average. What percent of the days in 2023 is it expected to rain in Sun City? Express your...
Nona went shopping to buy some new summer clothes. At the first store, she bought two pairs of pants, each originally priced $30. Nona used a coupon that reduced the price of each item by 15%, and...
This summer, Owen and Jack will both have part time jobs. Owen will be working as a lifeguard and Jack will be working as a server at a local restaurant. Owen plans to work 15 hours each week and will...
For Father’s Day, Martin’s family is having a barbecue. Martin is making the lemonade. If the directions call for 2 tablespoons of mix per quart of water, how many tablespoons of mix are needed to...