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genyjoannerubiera
30.06.2019 •
Mathematics
To rent a certain meeting room, a college charges a reservation fee of $42 and an additional fee of $7.60 per hour. the math club wants to spend less than $110.40 on renting the meeting room. what are the possible amounts of time for which they could rent the meeting room? use t for the number of hours the meeting room is rented, and solve your inequality for t.
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Ответ:
T = hours
42+ 7.6T < 110.40
subtract 42 from each side
7.6T < 110.40 -42
7.6T < 68.4
divide each side by 7.6
T < 9
T >= 0 as well because you cannot rent less than 0 hours
0<= T < 9 hours
Ответ:
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11( s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.