<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:
1. x = 36 equation is x + 2x + 9 = 117, then solve for x
2. x = 50 equation is x + x + 12 = 112, then solve for x
Step-by-step explanation:
Answer:
5. independent variable hours (h); dependent variable; total cost
6. t= 10h + $4.50
Step-by-step explanation:
The final result in dependent on how many hours he uses the boat.
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
Answer:
x=2
Step-by-step explanation:
To solve, we need to isolate the variable (x)
To do this, we must get all the variables to one side of the equation, and all the numbers to the other
3x+3= -2x+13
Add 2x to both sides to "reverse" the subtraction
5x+3=13
Subtract 3 from both sides to "reverse" the addition
5x=10
Divide both sides by 5 to "reverse" the multiplication
x=2
