Question

Evaluate x in base 3 if 41% - 22x = 17x.
a) 0.14
b) 0.22
c) 0.31
d) 0.40

Answer 1

Attempting to solve the equation by isolating x implies that x is equal to 0.41 / 39, which is approximately 0.0105, not matching any of the answer choices provided.

Step-by-step explanation:

The question requires us to solve for x in the equation 41% - 22x = 17x. To solve for x, we combine like terms by adding 22x to both sides of the equation, which gives us 41% = 39x. We then divide both sides by 39 to isolate x, leading us to x = 41% / 39. Converting the percentage into a decimal, we get 0.41 / 39. When we calculate this, it simplifies to approximately 0.0105, which is not one of the options provided in the question. It seems there might have been an error in interpreting the question or there is a typo in the choices provided.