Final answer:
The simplified value of the expression 1.6 (negative 4.5 minus (negative 10.2) 4) –29.92 –17.12 is -37.92, after resolving the parentheses, multiplying by 1.6, and subtracting the last two terms. This value is not listed in the provided options.
Step-by-step explanation:
The simplified value of the expression 1.6 (negative 4.5 minus (negative 10.2) 4) –29.92 –17.12 can be calculated with the following steps:
- Resolve the parentheses: negative 4.5 minus (negative 10.2) becomes negative 4.5 + 10.2 which equals 5.7.
- Multiply by 1.6: 1.6 × 5.7 equals 9.12.
- Subtract 29.92 and 17.12 from 9.12: 9.12 - 29.92 - 17.12 equals -37.92.
Therefore, the simplified value of the expression is -37.92, which is not among the given options (1) 15.52, (2) 29.92.