Question
A. For the equation \( 3.4 \div n=34 \), what value of \( n \) makes the equation true? \( \begin{array}{ll}\text { (A) } 0.01 & \text { (C) } 1.0 \\ \text { (B) } 0.1 & \text { (D) } 10\end{array} \)
Ask by Summers Riley. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( n = 0.1 \), choice B.
Solution
1. Start with the equation:
\[
3.4 \div n = 34
\]
2. Rewrite the division as a fraction:
\[
\frac{3.4}{n} = 34
\]
3. Multiply both sides by \( n \) to eliminate the fraction:
\[
3.4 = 34n
\]
4. Solve for \( n \) by dividing both sides by 34:
\[
n = \frac{3.4}{34}
\]
5. Simplify the fraction:
\[
n = 0.1
\]
The value of \( n \) that makes the equation true is \( 0.1 \).
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Simplify this solution Mind Expander
To solve the equation \( 3.4 \div n = 34 \), we can start by multiplying both sides by \( n \) to eliminate the division: \( 3.4 = 34n \). Next, to isolate \( n \), we divide both sides by 34: \[ n = \frac{3.4}{34} \] Calculating that gives \( n = 0.1 \). So the correct answer is (B) 0.1. Now, let's see it in action! Imagine you’re splitting up 3.4 apples among 34 people. How much will each person get? Well, you’d find out that every person would get just a little taste - 0.1 of an apple, to be exact! 🍏✨
