Let's solve the given calculations step-by-step.
### Calculation 1: [tex]\(\frac{9}{4}\)[/tex]
To divide 9 by 4:
[tex]\[
\frac{9}{4} = 2.25
\][/tex]
### Calculation 2: [tex]\(-0.08 \times 0.25\)[/tex]
To multiply [tex]\(-0.08\)[/tex] by [tex]\(0.25\)[/tex]:
[tex]\[
-0.08 \times 0.25 = -0.02
\][/tex]
### Calculation 3: [tex]\(3.0566 \cdot \frac{30566 - 305}{0.007x}\)[/tex]
This expression is indeterminate because it involves an unknown variable [tex]\(x\)[/tex]. Without the value of [tex]\(x\)[/tex], it's impossible to find a numeric result for this term. Let's move to the next part.
### Calculation 4: [tex]\(120 \times \frac{13}{2}\)[/tex]
First, calculate the fraction [tex]\(\frac{13}{2}\)[/tex]:
[tex]\[
\frac{13}{2} = 6.5
\][/tex]
Now, multiply 120 by 6.5:
[tex]\[
120 \times 6.5 = 780.0
\][/tex]
### Conclusion
Thus, the calculated values are:
1. [tex]\(\frac{9}{4} = 2.25\)[/tex]
2. [tex]\(-0.08 \times 0.25 = -0.02\)[/tex]
3. Without the value of [tex]\(x\)[/tex], the expression [tex]\(3.0566 \cdot \frac{30566 - 305}{0.007x}\)[/tex] cannot be resolved.
4. [tex]\(120 \times \frac{13}{2} = 780.0\)[/tex]
