Sure! Let's break down each part of the expression and solve it step-by-step to find the total weight in decagrams (dag) and grams (g).
### Step-By-Step Solution:
1. Understanding the given units and operations:
- 1 dag (decagram) = 10 g (grams).
- The expression includes a multiplication represented by "[tex]$", subtraction with "5 g - 7 g".
2. Initial Conversion:
- We start with 12 dag.
- Converting 12 dag to grams:
\[
12 \times 10 = 120 \text{ grams}
\]
3. Performing Multiplication:
- The next part of the expression is "$[/tex] 5 g", which means 5 grams will be multiplied, assuming it’s conversion in calculations.
- Converts 5 grams to decagrams for calculations:
[tex]\[
5 \times 10 = 50 \text{ grams}
\][/tex]
4. Subtraction:
- The last part of the expression is "subtract 7 grams".
- Performing the subtraction in one flow:
[tex]\[
120 \text{ grams} - 50 \text{ grams} - 7 \text{ grams} = 63 \text{ grams}
\][/tex]
5. Final Conversion and Result:
- Convert the remaining result back to dag and grams:
[tex]\[
63 \text{ grams} = 6 \text{ dag} \, 3 \text{ grams}
\][/tex]
### Conclusion:
- Therefore, the final result when we evaluate the given expression is:
[tex]\[
6 \text{ dag} \, 3 \text{ g}
\][/tex]
Comparing this result to the given options, we find that it matches with none of the provided options. It is possible that there was a mistake in the provided options. However, our calculated result remains as:
6 dag 3 g
