Question

Find the value of a that makes the statement true.

3^(-1) - 34 = 30, where a is:
A) -33
B) -32
C) -31
D) -30

Answer 1

To solve the statement 3^-1 - a = 30, we rewrite the expression as 1/3 - a = 30. Adding 'a' and 1/3 to 30, we get 'a' equals approximately 30.33, which is not an option given in the question, indicating potential typos in the provided statement.

Step-by-step explanation:

The question asks us to find the value of a that makes the statement 3-1 - 34 = 30 true. The expression can be simplified as 1/3 - 34 = 30. To solve for a, substitute a for 34 and add 34 to both sides of the equation to get a = 30 + 1/3, or a = 30 + 0.333... which rounds to 30.33. However, none of the answer choices match this result, suggesting that there are typos in the question. Given the choices provided, the closest correct option should be D) -30, which seems to be a result of misinterpreting the question.