<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
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(</span> 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.
Answer: 45
Step-by-step explanation:
Total number of 8th graders that signed up = 30
9 dropped out. So the total number 8th graders on board the game
= 30 - 9 = 21
46 2/3 % of the club are 8th graders i.e 21
Let T be the total number of students in the club
46 2/3 % T = 21
(140/3)% T = 21
(140/300)T = 21
T = (21x300)/140 = 45
Therefore, there are 45 students on the club
Answer:
32.5
Step-by-step explanation:
7h+1.50d
step 2: plug in the hours he worked and the amount of deliveries made.
(7x4)+(1.50x3)=32.5
Answer:
5(x^2−8
Step-by-step explanation:
There you go
