Determine which of these illustrates two quantities that combine to make 0. (1 point)
• Latanya lost ten pounds and then gained six pounds.
• Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
• It is twenty degrees below zero and then the temperature rises ten degrees.
A business's profit if its income is more than its expenses.
The correct choice is:
• Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
To determine which of the given options illustrates two quantities that combine to make 0, we need to look for instances where two quantities cancel each other out.
Among the provided options:
1. Latanya lost ten pounds and then gained six pounds: In this case, the total change in weight would be (loss of 10 pounds) + (gain of 6 pounds) = -4 pounds. This does not result in zero.
2. Marty gets ten dollars for his allowance and then spends ten dollars at the movies: Here, the total change in money would be (receiving 10 dollars) - (spending 10 dollars) = 0 dollars. This illustrates two quantities that combine to make 0.
3. It is twenty degrees below zero and then the temperature rises ten degrees: In this scenario, the total change in temperature would be (20 degrees below zero) + (10 degrees rise) = -10 degrees. This does not result in zero.
Therefore, the option that illustrates two quantities combining to make 0 is: Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
To determine which of the situations illustrates two quantities that combine to make 0, we need to look for cases where one quantity offsets the other, resulting in a net total of zero.
Let's analyze each situation:
1. Latanya lost ten pounds and then gained six pounds.
In this scenario, the first quantity (-10 pounds) is offset by the second quantity (+6 pounds). Therefore, the net total is not zero.
2. Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
Here, the first quantity (+10 dollars) is completely offset by the second quantity (-10 dollars). As a result, the net total is zero.
3. It is twenty degrees below zero, and then the temperature rises ten degrees.
In this case, the initial temperature (-20 degrees) combined with the temperature rising (+10 degrees) results in a final temperature of -10 degrees, which is not zero.
Therefore, the situation that illustrates two quantities combining to make 0 is when Marty gets ten dollars for his allowance and then spends ten dollars at the movies.