Determine which of these illustrates two quantities that combine to make 0.
A Latanya lost ten pounds and then gained six pounds.Latanya lost ten pounds and then gained six pounds.
B A business's profit if its income is more than its expenses.A business's profit if its income is more than its expenses.
C It is twenty degrees below zero and then the temperature rises ten degrees.It is twenty degrees below zero and then the temperature rises ten degrees.
D Kyle scores 150 points on a video game and then loses half of those points.Kyle scores 150 points on a video game and then loses half of those points.
E Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
D. Kyle scores 150 points on a video game and then loses half of those points.
To determine which of these examples illustrates two quantities that combine to make 0, we need to analyze each option.
A: Latanya lost ten pounds and then gained six pounds.
To determine if these quantities combine to make 0, we can subtract the weight lost from the weight gained:
-10 + 6 = -4
Since the result is not 0, option A does not illustrate two quantities that combine to make 0.
B: A business's profit if its income is more than its expenses.
This option does not involve combining two quantities, so it does not illustrate two quantities that combine to make 0.
C: It is twenty degrees below zero, and then the temperature rises ten degrees.
To determine if these quantities combine to make 0, we can sum the two values:
-20 + 10 = -10
Since the result is not 0, option C does not illustrate two quantities that combine to make 0.
D: Kyle scores 150 points on a video game and then loses half of those points.
To determine the combined effect on the score, we need to calculate the difference:
150 - (1/2 * 150) = 150 - 75 = 75
Since the result is not 0, option D does not illustrate two quantities that combine to make 0.
E: Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
To determine if these quantities combine to make 0, we can subtract the amount spent from the amount received:
10 - 10 = 0
Since the result is 0, option E illustrates two quantities that combine to make 0.
Therefore, the correct answer is E: Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
The correct answer is:
E. Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
In this scenario, Marty receives ten dollars as his allowance, representing a positive quantity. However, he then spends ten dollars at the movies, representing a negative quantity. When these two quantities are combined, they result in a total of zero dollars.