In which of these situations, do the two quantities combine to make 0? Select all that apply.
(1 point)
Responses
An airplane at 3,000 feet gains 3,000 feet.
A submarine at –340 feet under dives 340 feet.
A hawk at 120 feet above the ground dives 120 feet.
A diver at –40 feet under the sea rises 40 feet.
An octopus at –38 feet underwater rises 38 feet.
A submarine at –340 feet under dives 340 feet.
A diver at –40 feet under the sea rises 40 feet.
An octopus at –38 feet underwater rises 38 feet.
What is the simplified form of the expression? show your work
- ( 8w - 2y)
The two quantities combine to make 0 in the following situations:
- A submarine at -340 feet under dives 340 feet.
- A diver at -40 feet under the sea rises 40 feet.
- An octopus at -38 feet underwater rises 38 feet.
To determine which of these situations result in the two quantities combining to make 0, we need to analyze each scenario.
1. An airplane at 3,000 feet gains 3,000 feet.
In this situation, the airplane starts at a certain altitude and then increases its altitude by the same amount. Therefore, the two quantities combine to make 0.
2. A submarine at –340 feet under dives 340 feet.
In this scenario, the submarine is already positioned below sea level (-340 feet) and then further dives down by 340 feet. The two quantities also combine to make 0 in this case.
3. A hawk at 120 feet above the ground dives 120 feet.
Here, the hawk starts at a certain height above the ground and then descends by the same amount (120 feet). Thus, the two quantities combine to make 0.
4. A diver at –40 feet under the sea rises 40 feet.
In this situation, the diver is already below sea level (-40 feet) and then rises up by 40 feet. Like the previous cases, the two quantities combine to make 0.
5. An octopus at –38 feet underwater rises 38 feet.
Similar to the previous scenarios, the octopus begins below the surface (-38 feet) and then rises by 38 feet. Thus, the two quantities combine to make 0.
Therefore, the correct situations where the two quantities combine to make 0 are:
- An airplane at 3,000 feet gains 3,000 feet.
- A submarine at –340 feet under dives 340 feet.
- A hawk at 120 feet above the ground dives 120 feet.
- A diver at –40 feet under the sea rises 40 feet.
- An octopus at –38 feet underwater rises 38 feet.