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

Answer:-8 3/4

Explanation:

I just took the cahoot

Answer 2

Given:

Jim stands on a dock that is
`3(3)/(4)` feet above the lake. He dives down
`12(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(3)/(4)` feet

He dives down
`12(1)/(2)` feet below the dock. So,

Vertical location relative to the lake surface
`=3(3)/(4)-12(1)/(2)`

`=(3* 4+3)/(4)-(12* 2+1)/(2)`

`=(12+3)/(4)-(24+1)/(2)`

`=(15)/(4)-(25)/(2)`

Taking LCM, we get

`=(15-50)/(4)`

`=(-35)/(4)`

`=-8(3)/(4)`

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

Therefore, Jim is
`8(3)/(4)` feet below the lake surface.