Final answer:
Upon simplifying the equation 1.7a - 0.3a = 0.8 by combining like terms and isolating 'a', we find that a = 0.5714. However, this solution does not match any of the options provided in the question, suggesting there may be an error.
Step-by-step explanation:
To find the value of 'a' that makes the equation 1.7a−0.3a=0.8 true, we need to combine like terms and solve for 'a'. Let's simplify the equation step by step:
- Combine like terms on the left side of the equation:
1.7a - 0.3a = 1.4a. - Now our equation is 1.4a = 0.8.
- Divide both sides by 1.4 to isolate 'a': a = 0.8 / 1.4 = 0.5714.
However, none of the provided options (A. a=-1.2, B. a=0.4, C. a=1.6, D. a=2.8) matches the calculated value of 'a'. Therefore, it seems there might be a mistake in the question or the options provided.