A 9 × 12 piece of paper has a 1 × 8 hole in the middle. How can you cut the paper into two parts so that the two pieces can be put together to form a 10 × 10 square piece of paper without any hole?

This is what I think should be the solution:You have a 9 x 12 block.first divide it into 2 parts:one 9 x 10 block and other 9 x 2 So now you have it's 2 parts doneNow the 9 x 2 block is same as 2 blocks of 9 x 1Now take one 9 x 1 blockCut it so you have 8 x 1 block and 1 x 1 block .Now use the 8 x 1 block to fill the gap in the middleNow you have a completely filled 9 x 10 block ,a 1 x 1 block and a 9 x 1 blockJoin the the 1 x 1 block to the 9 x 1 block So you get a 10 x 1 blocktake this 10 x 1 block and join it to the 9 x 10 block Now what you get is a 10 x 10 block , completely filled.

If 8 pipes are required to fill a tank in 1 hour and 10 minutes, how long will it take if only 5 pipes of the same type are used?

1 hr and 10 mins will be 70minsSo 8 pipes take 70 mins to fill a tank.The more number of pipes, the less time it takes to fill a tank. In this case, the tank is a constant as there is only 1 tank needed to be filled.y=k/xlet y be timelet x be number of pipes70=k/8k= 70(8)k= 560y=560/5y= 112minsy= 1hr 52mins

How do you solve: A tank in the shape of an inverted cone of height 10 feet and top diameter of 1.25 feet is filled with a fluid density 1 pound/ft^3. To the nearest foot-pound, how much work is required to pump all the liquid out of the tank?

You don't provide enough data. You can find the volume and how much liquid there is, but in order to find work, you need to specify how far you move the liquid. For instance, if the pump is at the bottom of the cone, you wouldn't even need to turn it on for the cone to empty. If you put the pump at the top, it will have a bit of work to just pump the liquid out. If you put the pump 10 feet above the cone, it will have to work harder to get the liquid out.

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A 9 × 12 piece of paper has a 1 × 8 hole in the middle. How can you cut the paper into two parts so that the two pieces can be put together to form a 10 × 10 square piece of paper without any hole?
This is what I think should be the solution:You have a 9 x 12 block.first divide it into 2 parts:one 9 x 10 block and other 9 x 2 So now you have it's 2 parts doneNow the 9 x 2 block is same as 2 blocks of 9 x 1Now take one 9 x 1 blockCut it so you have 8 x 1 block and 1 x 1 block .Now use the 8 x 1 block to fill the gap in the middleNow you have a completely filled 9 x 10 block ,a 1 x 1 block and a 9 x 1 blockJoin the the 1 x 1 block to the 9 x 1 block So you get a 10 x 1 blocktake this 10 x 1 block and join it to the 9 x 10 block Now what you get is a 10 x 10 block , completely filled.
If 8 pipes are required to fill a tank in 1 hour and 10 minutes, how long will it take if only 5 pipes of the same type are used?
1 hr and 10 mins will be 70minsSo 8 pipes take 70 mins to fill a tank.The more number of pipes, the less time it takes to fill a tank. In this case, the tank is a constant as there is only 1 tank needed to be filled.y=k/xlet y be timelet x be number of pipes70=k/8k= 70(8)k= 560y=560/5y= 112minsy= 1hr 52mins
How do you solve: A tank in the shape of an inverted cone of height 10 feet and top diameter of 1.25 feet is filled with a fluid density 1 pound/ft^3. To the nearest foot-pound, how much work is required to pump all the liquid out of the tank?
You don't provide enough data. You can find the volume and how much liquid there is, but in order to find work, you need to specify how far you move the liquid. For instance, if the pump is at the bottom of the cone, you wouldn't even need to turn it on for the cone to empty. If you put the pump at the top, it will have a bit of work to just pump the liquid out. If you put the pump 10 feet above the cone, it will have to work harder to get the liquid out.

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