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...
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...
Melrose’s hot air balloon is a sphere of diameter 100 feet. How many cubic feet of air will Melrose’s hot air balloon hold when completely filled? Express your answer as a decimal to the nearest tenth...
For the following problems, assume that the snowballs are perfect spheres. Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her 3 balls of snow 20%...
Environmental engineers work with other engineers, scientists and experts to control water and air pollution, as well as its impact on public health, waste disposal, recycling and more. Environmental...
It’s time for the Spring Festival. This year, 63 children will be attending, and each child will receive a basket that includes 2 candy-filled Easter eggs. If the candy-filled eggs are sold by the...
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...
When packing for her family’s trip, Miranda didn’t want to bring a lot of extra clothes, so she packed 4 shirts, 2 pairs of shorts and 1 skirt (all of which coordinate). If an outfit consists of a...