solve for F, 2.5 =(8.0 + DF/2 × 10.0)/(0.375 × 9.81)

Let's solve the equation for \( F \).

Given equation:
\[
2.5 = \frac{8.0 + \frac{DF}{2} \times 10.0}{0.375 \times 9.81}
\]

### Step 1: Simplify the denominator
Calculate the value of the denominator on the right-hand side:
\[
0.375 \times 9.81 = 3.67875
\]
Now the equation becomes:
\[
2.5 = \frac{8.0 + \frac{DF \times 10.0}{2}}{3.67875}
\]

### Step 2: Simplify the expression in the numerator
The term \(\frac{DF \times 10.0}{2}\) simplifies to \(5DF\):
\[
2.5 = \frac{8.0 + 5DF}{3.67875}
\]

### Step 3: Multiply both sides by the denominator to eliminate the fraction
\[
2.5 \times 3.67875 = 8.0 + 5DF
\]
\[
9.196875 = 8.0 + 5DF
\]

### Step 4: Isolate the \( 5DF \) term
Subtract 8.0 from both sides:
\[
9.196875 - 8.0 = 5DF
\]
\[
1.196875 = 5DF
\]

### Step 5: Solve for \( F \)
Divide both sides by \( 5D \):
\[
F = \frac{1.196875}{5D}
\]
\[
F = \frac{0.239375}{D}
\]

### Final Solution:
\[
F = \frac{0.239375}{D}
\]

This expression shows \( F \) in terms of \(

Learn how to solve the equation 2.5 = (8.0 + DF/2 × 10.0) / (0.375 × 9.81) step-by-step. This problem involves algebraic manipulation and equation solving techniques. Suitable for high school students.

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