Question

determine whether the proportion is true or not true. \\(\frac{225\text{ ft}}{3\text{ rolls}} = \frac{360\text{ ft}}{7\text{ rolls}}\\) \\(\circ\\) the proportion is true. \\(\circ\\) the proportion is not true. need help? read it watch it submit answer 96. - / 1 points 0/5 submissions used solve. \\(\frac{4}{3} = \frac{n - 2}{6}\\) \\(n = \\) need help? read it watch it

Explanation:

First Sub - Question (Proportion True/False)

Step1: Cross - multiply the proportion

To check if \(\frac{225}{3}=\frac{360}{7}\) is true, we use cross - multiplication. Cross - multiplying gives \(225\times7\) and \(3\times360\).
\(225\times7 = 1575\) and \(3\times360=1080\).

Step2: Compare the results

Since \(1575
eq1080\), the proportion is not true.

Step1: Cross - multiply the equation

Given \(\frac{4}{3}=\frac{n - 2}{6}\), cross - multiply: \(4\times6=3\times(n - 2)\).
\(24 = 3n-6\).

Step2: Solve for \(n\)

Add 6 to both sides of the equation: \(24 + 6=3n-6 + 6\).
\(30=3n\).
Divide both sides by 3: \(\frac{30}{3}=\frac{3n}{3}\).
\(n = 10\).

Answer:

The proportion is not true.

Second Sub - Question (Solving for \(n\))