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Keith is driving to Boston. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of . See the figure below.
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
Juan's first-grade class received 91 half-pint cartons of milk to distribute evenly to his 26 students. How many cartons were left over?
Find the area of the part of the surface 2z = x^2 that lies directly above the triangle in the xy-plane with the vertices at (0,0),(1,0) and (1,1).
marta's checkbook shows that she wrote a check for 987$ for building materials. what was the price of the materials if the sale tax is 5% ?
The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2).
The faster ship makes the voyage in 50 hr. less time than the slower one. Find the speeds of the two ships.
Evaluate the sequence generated by generating functions
A balloon is rising at a rate of 2 ft/sec. When the balloon is 148 ft above the ground a bike is moving at a rate of 20 ft/sec under it. How fast is the distance between the bike and balloon increasing 6 seconds later?
They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their life spans are in..
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
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