How many distinct integer values of N between 1 and 1000 are there, such that N=4a+b+4c and 2N=7a+6b+7c for some positive integers a, b and c?
If you've ever watched sailing, you will sometimes see a sailor hanging off the side of the boat, for example in this shot from the movie "The Thomas Crown Affair." Eventually, of course, the sailboat tips over so far that a person cannot keep it balanced. Consid...
Climbing to the top of Mount Everest is hard. But, it's slightly easier than you might think as people weigh less as they climb to the top. Let WE be a person's weight on top of Mount Everest and WS be their weight at sea level. What is the value of 1−WE/WS? Deta...
Math (Percent discount)
With the holiday approaching, Nancy's Closet is having a sale, where all their clothes are 40% off. Mary, who works there, can get a further staff discount of 30% off the sale price. What is the total percent discount that Mary gets?
During the first part of a trip a canoeist travels 26 miles at a certain speed. The canoeist travels 8 miles on the second part of the trip at a speed 5 mph slower. Total time is 3 hours. What was the seed on each part of the trip
actually theres an integral sign. at the top of the sign theres a 3. At the bottom of it, theres a 2.
∫3 at top and 2 at bottom x/x^2+1 dx = ? if you could show steps that would be great thanks
Calculated how many grams of methane (CH4) are in a sealed 80 mL flask at room temperature (22ºC) and 780 mm Hg of pressure. Show all your work.
A small statue has a height of 3.8 cm and is placed in front of a concave mirror. The image of the statue is inverted, 1.9 cm tall, and located 14 cm away from the mirror. Find the focal length of the mirror.