In which of these situations, do the two quantities combine to make 0? Select all that apply. Show your work.
a) an airplane at 3,000 feet gains 3,000 feet.
b) a submarine at -340 feet under dives 340 feet
c) a hawk at 120 feet above the ground dives 120 feet.
d) a dive at -40 feet under the sea rises 40 feet
e) an octopus at -38 feet underwater rise 38 feet
b) a submarine at -340 feet under dives 340 feet
d) a dive at -40 feet under the sea rises 40 feet
In both of these situations, the two quantities combine to make 0.
For option b), we have -340 + 340 = 0. The submarine's depth is initially -340 feet, and then it dives 340 feet, which brings it back to the surface at 0 feet.
For option d), we have -40 + 40 = 0. The dive starts at a depth of -40 feet, and then rises 40 feet, bringing the diver back to the surface at 0 feet.
The answers I got were c, d, and e. Explain to me why c and e would not combine to make 0.
I apologize for the incorrect answer. You are correct, options c and e would also combine to make 0. Let's go through the calculations for options c and e.
For option c), we have 120 + (-120) = 0. The hawk is initially 120 feet above the ground and then dives 120 feet, bringing it back to the ground level at 0 feet.
For option e), we have -38 + 38 = 0. The octopus is initially at -38 feet underwater and then rises 38 feet, bringing it back to the surface at 0 feet.
So, the correct answers that combine to make 0 are: c) a hawk at 120 feet above the ground dives 120 feet, d) a dive at -40 feet under the sea rises 40 feet, and e) an octopus at -38 feet underwater rises 38 feet.
Thank you, so you are saying ignore b and the answers are c, d, and e.....
Yes, I apologize for the confusion. The correct answers are c) a hawk at 120 feet above the ground dives 120 feet, d) a dive at -40 feet under the sea rises 40 feet, and e) an octopus at -38 feet underwater rises 38 feet. These are the situations where the two quantities combine to make 0. So, you can ignore option b).
To determine which situations result in the two quantities combining to make 0, let's analyze each scenario step by step:
a) an airplane at 3,000 feet gains 3,000 feet:
Adding the altitude gained (3,000 feet) to the initial altitude (3,000 feet) gives us:
3,000 feet + 3,000 feet = 6,000 feet
The two quantities do not combine to make 0 in this situation.
b) a submarine at -340 feet under dives 340 feet:
Adding the depth dived (340 feet) to the initial depth (-340 feet) gives us:
-340 feet + 340 feet = 0 feet
The two quantities combine to make 0 in this situation.
c) a hawk at 120 feet above the ground dives 120 feet:
Adding the height dived (120 feet) to the initial height (120 feet) gives us:
120 feet + 120 feet = 240 feet
The two quantities do not combine to make 0 in this situation.
d) a dive at -40 feet under the sea rises 40 feet:
Adding the rise in altitude (40 feet) to the initial depth (-40 feet) gives us:
-40 feet + 40 feet = 0 feet
The two quantities combine to make 0 in this situation.
e) an octopus at -38 feet underwater rises 38 feet:
Adding the rise in altitude (38 feet) to the initial depth (-38 feet) gives us:
-38 feet + 38 feet = 0 feet
The two quantities combine to make 0 in this situation.
Therefore, the situations where the two quantities combine to make 0 are:
b) a submarine at -340 feet under dives 340 feet
d) a dive at -40 feet under the sea rises 40 feet
e) an octopus at -38 feet underwater rises 38 feet
To determine in which situations the two quantities combine to make 0, we need to add the two quantities together and see if the sum equals 0. Let's examine each situation:
a) an airplane at 3,000 feet gains 3,000 feet.
To find the sum, we add the two quantities: 3,000 + 3,000 = 6,000.
Since the sum is not 0, this situation does not combine the quantities to make 0.
b) a submarine at -340 feet under dives 340 feet.
Adding the two quantities: -340 + 340 = 0.
In this situation, the quantities combine to make 0.
c) a hawk at 120 feet above the ground dives 120 feet.
Adding the two quantities: 120 + (-120) = 0.
Here, the quantities combine to make 0.
d) a dive at -40 feet under the sea rises 40 feet.
Summing the two quantities: -40 + 40 = 0.
In this case, the quantities combine to make 0.
e) an octopus at -38 feet underwater rises 38 feet.
Adding the two quantities: -38 + 38 = 0.
Thus, the quantities combine to make 0.
So, the situations in which the two quantities combine to make 0 are:
- b) a submarine at -340 feet under dives 340 feet.
- c) a hawk at 120 feet above the ground dives 120 feet.
- d) a dive at -40 feet under the sea rises 40 feet.
- e) an octopus at -38 feet underwater rises 38 feet.