Question

Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?

Answer 1

Given:

Jim stands on a dock that is $3\dfrac{3}{4}$ feet above the lake. He dives down $12\dfrac{1}{2}$ feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface $=3\dfrac{3}{4}$ feet

He dives down $12\dfrac{1}{2}$ feet below the dock. So,

Vertical location relative to the lake surface $=3\dfrac{3}{4}-12\dfrac{1}{2}$

$=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}$

$=\dfrac{12+3}{4}-\dfrac{24+1}{2}$

$=\dfrac{15}{4}-\dfrac{25}{2}$

Taking LCM, we get

$=\dfrac{15-50}{4}$

$=\dfrac{-35}{4}$

$=-8\dfrac{3}{4}$

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is $8\dfrac{3}{4}$ feet below the lake surface.

Answer 2

Answer:-8 3/4

Step-by-step explanation:

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