Question
Complete the solution using inverse relationships. \[ \begin{aligned} b \div 4.8 & =8.09 \\ b \div 4.8 \times \square & =8.09 \times \square \\ b & = \\ & \text { (Type whole numbers or decimals.) }\end{aligned} \]
Ask by Young Harper. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( b = 38.832 \)
Solution
Certainly! Let's solve for \( b \) using inverse relationships step by step.
**Given Equation:**
\[
\frac{b}{4.8} = 8.09
\]
**Step 1: Multiply both sides by 4.8 to isolate \( b \).**
\[
\frac{b}{4.8} \times 4.8 = 8.09 \times 4.8
\]
**Step 2: Simplify both sides.**
\[
b = 38.832
\]
**Final Answer:**
\[
b = 38.832
\]
You can enter \( b = 38.832 \) as your solution.
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Explain 
Simplify this solution Beyond the Answer
To solve the equation using inverse relationships, we can start with the equation \( b \div 4.8 = 8.09 \). To isolate \( b \), we will multiply both sides by 4.8. Next, we rewrite the equation: \[ b \div 4.8 \times 4.8 = 8.09 \times 4.8 \] Now we calculate: \[ b = 8.09 \times 4.8 \] Doing the multiplication gives: \[ b = 38.832 \] So, the complete solution is \( b = 38.832 \).
