Question
b. \( \frac{2.1}{42}=\frac{7}{t} \quad t=\square \)
Ask by Johnston Potter. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( t = 140 \)
Solution
To solve for \( t \) in the equation:
\[
\frac{2.1}{42} = \frac{7}{t}
\]
**Step 1: Cross-Multiply**
\[
2.1 \times t = 42 \times 7
\]
**Step 2: Simplify the Right Side**
\[
2.1t = 294
\]
**Step 3: Solve for \( t \)**
\[
t = \frac{294}{2.1}
\]
\[
t = 140
\]
**Answer:**
\[
t = 140
\]
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Simplify this solution Bonus Knowledge
To solve for \( t \), we can cross-multiply. This gives us \( 2.1 \cdot t = 7 \cdot 42 \). Calculating \( 7 \cdot 42 \), we find it equals 294. So the equation becomes \( 2.1t = 294 \). By dividing both sides by 2.1, we get \( t = \frac{294}{2.1} \), which simplifies to \( t = 140 \). So, \( t = 140 \).
