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Solve the word problem using this 4-step model. (1) Tell what the variable represents, (that is, x = ??); (2) write a rational equation that models the problem; (3) solve the equation for the exact solution ; (4) write your answer in words, labeling units as necessary. Hank bicycles 5 km/hour slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel?
A garden table and a bench cost combined. The garden table costs more than the bench. What is the cost of the bench?
Find the slope of the line passing through the points (1990, 3.5) and (2005, 5.15). Interpret the slope as a rate of change.
Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.
Jon is a traveling salesman for a pharmaceutical company. His territory includes 5 cities and he needs to find the least expensive route to the cities and home. Starting at city A, determine the optimal route using nearest neighborhood method.
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
Ming drops a baseball from the top of a 340-foot building. To the nearest tenth of a second, for how many seconds will the baseball fall?
In order to achieve maximum aerobic exercise, one should maintain one's heart rate at a certain level. a 40 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 142
A tray of electronic components contains 20 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
The following is offered as a solution of the equation. Because 7 = -12 is not a true equation, the equation has no solution. If this is correct, state that there is no solution. If not, explain in detail why it is not correct, and supply the corre..
What is the missing term in the geometric sequence?
What is the probability that the six numbers chosen by the player match all 6 numbers in the state's sample? What is the probability that 5 of the 6 numbers chosen by the player match all 6 numbers in the state's sample?
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