To solve the expression \(-2.8 \cdot (-35) : (-0.49) - (-13.25) : (-5.3) \cdot (-0.8)\), we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Let's break it down step-by-step.
Calculate the first term: \[ -2.8 \cdot (-35) = 98 \]
Calculate the second term: \[ -0.49 \rightarrow \text{ just keep it as it is for now} \]
Now we calculate \(98 : -0.49\): To divide: \[ 98 \div -0.49 = -200 \]
Calculate the term for \(-(-13.25) : (-5.3)\): First, find \(-13.25\) divided by \(-5.3\): \[ -13.25 \div -5.3 = 2.5 \]
Now multiply that result by \(-0.8\): \[ 2.5 \cdot (-0.8) = -2 \]
Now we combine the results: Thus, we have: \[ -200 - (-2) = -200 + 2 = -198 \]
The final answer is: \[ -198 \]