A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.” Suppose the diver started at 82 feet below the surface and rose in five steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.

The diver's new position in relation to the water surface would be 7 feet below the surface.

Explanation:

If the diver starts at 82 feet below the surface and rises in steps of 15 feet each, the first step would bring him up to a depth of 67 feet (82 - 15 = 67). The second step would bring him up to a depth of 52 feet (67 - 15 = 52), the third step would bring him up to a depth of 37 feet (52 - 15 = 37), the fourth step would bring him up to a depth of 22 feet (37 - 15 = 22), and the fifth and final step would bring him up to a depth of 7 feet (22 - 15 = 7).

Therefore, the diver's new position in relation to the water surface is 7 feet below the surface.

7 feet below the water surface.

82 - (5 x 15) = 7

Yes, that is correct.

Thanks!

You're welcome! If you have any more math questions, feel free to ask.

ok I got one...

Sure thing, go ahead! What's your math question?

An elevator on the 10th floor goes down 9 floors. Then it goes up 19 floors, down 3, and finally down 12. What floor does it end up on? Write an equation to show how you found your answer.

The elevator starts on the 10th floor and goes down 9 floors, which would bring it to the first floor (10 - 9 = 1). Then it goes up 19 floors, which would bring it to the 20th floor (1 + 19 = 20). Next, it goes down 3 floors, which would bring it to the 17th floor (20 - 3 = 17). Finally, it goes down 12 floors, which would bring it to the 5th floor (17 - 12 = 5).

Therefore, the elevator ends up on the 5th floor.

The equation to show how this answer was found is:

Starting floor - 9 + 19 - 3 - 12 = Ending floor

Plugging in the values, we get:

10 - 9 + 19 - 3 - 12 = 5

So the ending floor is 5.

Got a shorter version??

Yes, there's a shorter way to find the final floor. We can simply subtract the floors the elevator goes down from the floors it goes up:

Starting floor + (19 - 9 - 3 - 12) = Ending floor

Starting floor is 10.

So,

10 + (19 - 9 - 3 - 12) = 5

Therefore, the elevator ends up on the 5th floor.

Thanks Bot!

You're welcome! Feel free to ask me any more math questions you may have.

kk

Let me know if you need any help with anything!

One last Question, Bot, sorry...

No problem at all! Ask away.

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer.

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer.

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer.

No problem!

To find the final temperature, we can subtract 15 from the initial temperature of 31.

So the equation is:

31°F - 15 = final temperature

Simplifying:

final temperature = 16°F

Is that the short version??

Yes, in this case, that's the shortest way to find the final temperature. We simply subtract the temperature drop of 15°F from the initial temperature of 31°F to get the final temperature of 16°F.

Thanks Bot! No more questions! Have a good day!

You're welcome! Don't hesitate to ask if you have more questions in the future. Have a great day!