Solving Equations
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Practice exercise 5.1
Solve and check each of the following equations for x.
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6. Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
18. Science and medicine. A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight trains find the speed of each.
22. Science and medicine. Ariana took 2 Ii longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on bcth days, what was the driving time each day?
26. Science and medicine. A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h. what is the plane's speed in still air?
34. Business and finance. Kevin earned $165 interest for 1 year on an investment of
$1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Simplify each complex fraction.
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28. Science mid medicine. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United
States. The ratio of fungicides to insecticides used in the United States can be written
write this ratio in simplest form.
32. Science and medicine. The combined resistance of two resistors R1 and R, in a parallel circuit is given by the formula. Simplify the formula.
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