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Section 5.8 Fractional Coefficients. In this section we will have NUMBERS in the bottom of our equations – next class we’ll have VARIABLES in the bottom). When solving equations with fractional coefficients, the easiest thing to do is to
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Section 5.8 Fractional Coefficients In this section we will have NUMBERS in the bottom of our equations – next class we’ll have VARIABLES in the bottom) When solving equations with fractional coefficients, the easiest thing to do is to multiply both sides of the equation by the LCD of all denominators. EX 1:
Work these 3 problems silently in your homework binder. 1. 2. 3.
Word problems in this section will have the form of the algebraic problems. (fractional expressions with numbers in the denominators) EX 3: an old conveyor belt takes 21 hours to move one day’s coal output from the mine to a rail line. A new belt can do it in 15 hours. How long does it take when both are used at the same time? Many of these problems will take the form: contribution + contribution = job done contribution of old belt + contribution of new belt = total job done
EX 4: the River boat, Delta Duchess paddled upstream at 12 km/hr, stopped For 2 hours of sightseeing, and paddles back at 18 km/hr. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 hours? We will use distance = rate times time (d = rt) a lot this year . . . For this problem it is helpful to put everything in terms of time time up + time stopped + time back = total time
EX 5: How much of an 18% solution of sulfuric acid should be added to 360 mL of a 10% solution to obtain a 15% solution? Let x = # mL of 18% solution to be added contribution from 18% + contribution from 10 % = total of 15%