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Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 48 cups. But when you raise your price to $2 you only sell 27 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Show your work.
A ranger in tower A spots a fire at a direction of 313. A ranger in tower B, located 60 mi at a direction of 51 from tower A, spots the fire at a direction of 299. How far from tower A is the fire? How far from tower B?
You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible?
The report costs Paula $ 15 to produce, but Paula is able to sell reports for $ 350 each. Of course, any reports not sold by the end of the week have no value. How many reports should Paula produce each week?
Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container.
Hiro is in the spirit club. There are 29 students in the club. Three of them will be picked at random to go on a retreat. What is the probability he will not be selected? Put your answer as a fraction.
Calculate the angles that the two sections of the rope make with the beam, in degrees correct to two decimal places. The chandelier has mass 14 kg. Assume that the only forces acting on it are its weight and the tensions in the two sections of the..
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
ABCD is a cross-section of a uniform rectangular block of mass 20kg. AB is 0.75m and BC is 1m. The block rests with A on rough horizontal ground with AB at 20 degrees to the horizontal.
kareem stepped to the free throw line for two shots. If the probability of making each shot is 3/4, what is the probability that he will make both shots?
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
A triangle with base 1 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
A total of 381 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?
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