Which situation describes opposite quantities that when combined would equal 0?(1 point)

Responses

A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.

A deposit of $20 to a bank and a fee charged of $20.
A deposit of $20 to a bank and a fee charged of $20.

A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.

A withdrawal of $20 to a bank and a fee charged of $20.

7 answers

The situation that describes opposite quantities that, when combined, would equal 0 is:

A deposit of $20 to a bank and a fee charged of $20.

In this case, the deposit (+$20) and the fee (−$20) cancel each other out, resulting in a net amount of $0.

is that correct

Yes, that is correct. In the scenario of a deposit of $20 and a fee charged of $20, you have:

  • Deposit: +$20
  • Fee: -$20

When you combine these two amounts:

\[ +20 + (-20) = 0 \]

Thus, the result is indeed 0, which illustrates opposite quantities that cancel each other out.

Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

a. A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

b. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

c. A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?

d. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
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The situation that describes opposite quantities that, when combined, would equal 0 is:

b. A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

In this scenario, riding four miles east (+4 miles) and then riding four miles west (−4 miles) cancels each other out:

\[ +4 + (-4) = 0 \]

Therefore, the family is back at home, which means they are 0 miles away from home.

Question
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

Eileen moves seven spaces forward, then she moves seven spaces back in a game.
Eileen moves seven spaces forward, then she moves seven spaces back in a game.

Eileen moves seven spaces forward, then she moves two spaces back in a game.
Eileen moves seven spaces forward, then she moves two spaces back in a game.

Sarah deposits $20 in an account and then deposits another $20.
Sarah deposits $20 in an account and then deposits another $20.

Sarah is charged a fee of $20 and withdraws $20.
Sarah is charged a fee of $20 and withdraws $20.
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The situation that describes opposite quantities that, when combined, would equal 0 is:

Eileen moves seven spaces forward, then she moves seven spaces back in a game.

In this case, moving forward 7 spaces (+7) and then moving back 7 spaces (−7) cancels each other out:

\[ +7 + (-7) = 0 \]

Therefore, Eileen ends up in the same position she started from, which means the total displacement is 0.