2-48=(H-48)((5,101-14,930)/5,101) what is H

We are given the equation:

\[
2 - 48 = (H - 48) \left(\frac{5,101 - 14,930}{5,101}\right)
\]

Let's solve for \( H \).

### Step 1: Simplify the expression inside the parentheses.
\[
\frac{5,101 - 14,930}{5,101} = \frac{-9,829}{5,101}
\]

Now, approximate the division:
\[
\frac{-9,829}{5,101} \approx -1.926
\]

### Step 2: Substitute the simplified expression back into the equation:
\[
2 - 48 = (H - 48)(-1.926)
\]
\[
-46 = (H - 48)(-1.926)
\]

### Step 3: Solve for \( H \).
Divide both sides by \(-1.926\):
\[
\frac{-46}{-1.926} = H - 48
\]
\[
23.88 \approx H - 48
\]

### Step 4: Add 48 to both sides to isolate \( H \):
\[
H \approx 23.88 + 48
\]
\[
H \approx 71.88
\]

Thus, \( H \approx 71.88 \).

---

Do you want more details on any step? Let me know if you have any questions!

### Related Questions:
1. What is the exact value if we calculate the decimal more precisely?
2. How can this be solved graphically?
3. What happens if we change the denominator to a different value?
4. How would this be different if the expression was squared?
5. How can you check if the solution is correct by substituting \( H \) back into the original equation?

#### Tip: Always double-check your arithmetic operations, especially when dealing with negative values.

2 - 48 = (H - 48)((5,101 - 14,930) / 5,101) what is H?

Learn how to solve the equation 2 - 48 = (H - 48)((5,101 - 14,930)/5,101) to find the value of H. This detailed solution simplifies the fraction and solves the linear equation step by step. Suitable for students in Grades 9-11.

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