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andre [41]
3 years ago
14

Two piers, A and B, are located 105 km away from each other along a river. A motor boat, with a speed of 40 km/hour in still wat

er, is cruising between the two piers. How much time, t (in hours) will the motorboat need to get from pier A to pier B and back, if the speed of the current is 5km/hour?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

Brainleist plz

Step-by-step explanation:

Distance from,

There = 50

and Back = 50

speed is...

There = 25+5

Back = 25-5

50/25+5 = 50/30 = 5/3

50/25-5 = 50/20 = 5/2

5/3+5/2 = Total Time  spent to go from pier a to pier b and back

Total Time  = 25/6 Hours

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4 0
3 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

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3 years ago
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4 years ago
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