Final answer:
The equivalent expression to 0.45c + c - 0.89 when simplified is 1.45c - 0.89, but this doesn't match the provided answer choices, indicating a potential typo in the options given.
Step-by-step explanation:
The expression 0.45c + c - 0.89 can be simplified by combining like terms. We have two terms involving c, namely 0.45c and c. The term c is equivalent to 1c, so when we add 0.45c and 1c, we get 1.45c. Therefore, the simplified expression is 1.45c - 0.89.
Since none of the options perfectly match the correct simplification, there seems to be an error in the provided options. The correct choice should be 1.45c - 0.89, but amongst the options given, option (b) is the closest, which should likely be a typo. Option (b) states 1.9c - 0.89, which is not equivalent to the original expression.