Final Answer
The number that is 29% of 150 is 43.5
The correct answer is (option b).
Explanation
To find what number 29% of 150 is, we can use the formula:
![\[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} * 100 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/il1gtp7h44oywx3wjv6bbqjof6wiaefx6e.png)
Given that we want to find 29% of 150, we can set up the equation as:
![\[ \text{Part} = (29)/(100) * 150 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/zo35uos7vfcalhpzo4kjolr5r7tucdoogn.png)
Solving this equation gives us the value of the part, which represents 29% of 150:
![\[ \text{Part} = (29)/(100) * 150 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/zo35uos7vfcalhpzo4kjolr5r7tucdoogn.png)
Therefore, the number that represents 29% of 150 is indeed 43.5. This aligns with option b in the question.
Understanding percentages involves the concept of finding a portion of a whole. In this case, 29% denotes 29 parts out of 100, and when applied to a whole of 150, it accounts for 43.5 units. This calculation essentially involves multiplying the percentage (29%) by the whole number (150) to determine the portion represented by the given percentage.
It's essential to comprehend the concept of percentages in various contexts, as they're extensively used in finance, mathematics, and everyday situations. This calculation demonstrates the process of finding a percentage of a given quantity, crucial for making informed decisions or solving real-world problems involving proportions and fractions.
The correct answer is (option b).