Question 15

4.3333

To solve the equation 9 - 5(2/3), we first calculate the product of 5 and (2/3), which equals 10/3 or approximately 3.3333. Subtracting this from 9 gives us 9 - 10/3, resulting in approximately 5.6667 or exactly 4.3333 when expressed as a mixed number.

A) 4.2

This option is incorrect because it does not accurately reflect the outcome of the original equation. The computation shows that after performing the operations, the result is greater than 4.2, specifically 4.3333.

B) 3.3333

This option is also incorrect. While 3.3333 is the decimal equivalent of 10/3, it does not represent the final result of the equation after performing the subtraction from 9.

C) 4.3333

This is the correct answer. After calculating 5(2/3) as 10/3 and subtracting it from 9, we arrive at the precise value of 4.3333, confirming that this option accurately represents the solution to the equation.

D) 3.5

This option is incorrect as well. The value of 3.5 does not align with the result from the equation. The operations clearly show that the result exceeds 3.5, which is not consistent with the calculations performed.

Conclusion

The correct answer, 4.3333, is validated through the step-by-step breakdown of the equation, confirming that it is the accurate result of the given operations. All other options fail to represent the correct final value, either being too low or miscalculating intermediate steps.