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Select all of the following situations that could be represented by the equation

5+(−5)=0:

a) The balance in a bank account is $5, and then $5 is withdrawn.

b) A car travels 5 miles north and then 5 miles south.

c) A temperature increases by 5 degrees Celsius and then decreases by 5 degrees Celsius.

d) A football team gains 5 yards and then loses 5 yards.

1 Answer

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Final answer:

The equation 5 + (−5) = 0 can represent a bank balance returning to zero after a withdrawal, a car's displacement becoming zero after traveling north then south, the temperature getting back to its original value after an increase and decrease, or a football team having no net yardage gain after an advance and a loss.

Step-by-step explanation:

The equation 5 + (−5) = 0 can represent several real-world situations where an initial quantity is counteracted by the removal or reversal of the same quantity.

  • a) The balance in a bank account is $5, and then $5 is withdrawn. This shows the account balance returning to zero after a withdrawal.
  • b) A car travels 5 miles north and then 5 miles south. This suggests a return to the original starting point, making the total displacement zero.
  • c) A temperature increases by 5 degrees Celsius and then decreases by 5 degrees Celsius. This indicates the temperature returns to its starting value.
  • d) A football team gains 5 yards and then loses 5 yards. This would bring the team back to the original line of scrimmage, with no net gain in yards.

All these scenarios represent situations where an initial positive addition is offset by a subsequent negative action resulting in a net effect of zero.

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