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sweet [91]
2 years ago
7

a sound is sent at the bottom of a pond if echo is heard after 6 seconds calculate the depth of the pond .the speed of sound I'm

water is 1498m/s​
Mathematics
1 answer:
Mama L [17]2 years ago
5 0

Answer:

Depth of the pond: 4494 m

Explanation:

  • if echo is heard after 6 seconds, it takes 3 seconds to reach to bottom of pond
  • so time will be 3 seconds and speed given 1498 m/s

Steps:

  • distance = speed * time
  • distance = 1498 * 3
  • distance = 4494 m
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To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
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Now, plug this expression (8-7y) for x in the top equation to solve for y.

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Now that you have y, plug it into the second equation and solve for x.

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Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
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Answer:
x=1 \\ y=1
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