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love history [14]
3 years ago
5

A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav

elling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick
Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

<u>Required equation:</u>

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

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Answer:

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3 years ago
The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​
wariber [46]

Answer:

<em>y - 7 = 1 (x-5)</em>

Step-by-step explanation:

The point slope equation of a line is expressed as;

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(x0, y0) is the point on the line

Given the following

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Substitute into the formula

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<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>

<em></em>

<em></em>

3 0
3 years ago
A dessert recipe calls for 2.5 cups of milk and makes 5 servings how many cups of milk are needed for 8 servings
melisa1 [442]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Six times a number x is at least -24
S_A_V [24]
The answer is -4.
 i hope it helps you!


6 0
3 years ago
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(24 ÷ 6 - 2 + 5 × 3 × (-1 - 3) ÷ 4)^2 How do you solve this? Help me I need this ASAP!!
Bond [772]

Answer:

169

Step-by-step explanation:

PEMDAS

Parenthesis first

Add -1 and -3 which is -4

Divide 24 by 6 which is 4

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(4-2-15)^2

(2-15)^2

(-13)^2

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6 0
3 years ago
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