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C. \( \frac{7}{n}=\frac{63}{108} \quad n= \)

Ask by Campos Bryant. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

\( n = 12 \)

Solution

To solve the equation: \[ \frac{7}{n} = \frac{63}{108} \] **Step 1: Cross-Multiply** \[ 7 \times 108 = 63 \times n \] **Step 2: Calculate the Products** \[ 756 = 63n \] **Step 3: Solve for \( n \)** \[ n = \frac{756}{63} = 12 \] **Answer:** \( n = 12 \)

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The Deep Dive

To solve for \( n \), you can cross-multiply the equation: \( 7 \times 108 = 63 \times n \). This gives you \( 756 = 63n \). Now, divide both sides by 63 to isolate \( n \): \( n = \frac{756}{63} = 12 \). So, \( n = 12 \). The beauty of proportions is that they pop up everywhere! Whether you’re comparing recipes or resizing pictures, understanding how to manipulate them can save you time and potential culinary catastrophes. Next time you're in the kitchen, try scaling a recipe based on proportions—it's like magic! In the world of math, being able to set up and solve proportions helps in real-life situations, such as budgeting, pharmacology, and even construction. Imagine being a contractor and needing to figure out materials for a project. With proportions, you're set for success and accuracy—just like being a superhero in the realm of numbers!

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