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Anna007 [38]
3 years ago
9

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a

hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.
Mathematics
2 answers:
natali 33 [55]3 years ago
5 0

Answer:

5km/hr or 6km/hr

Step-by-step explanation:

rusak2 [61]3 years ago
4 0

Answer:

  • 5 km/h or 6 km/h

Step-by-step explanation:

  • Let the speed of the boat be x
  • Speed against the current in the river is x - 2

<u>Time in the river:</u>

  • 6/(x - 2)

<u>Time in the lake:</u>

  • 15/x

<u>The difference:</u>

  • 6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

<u>Multiply both sides by x(x - 2) to clear the fraction:</u>

  • 6x = 15(x - 2) - x(x - 2)
  • 6x = 15x - 30 - x² + 2x
  • x² - 11x + 30 = 0
  • (x - 5)(x - 6) =0
  • x -5 = 0, x - 6 = 0
  • x = 5 km/h, x = 6 km/h
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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

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