Question

1. if 93.5 cm of mg ribbon has mass 1.473 g, calculate the length of ribbon you must cut to get 0.0535 g of mg. (hint: this is just a proportion.)

Explanation:

Step1: Set up proportion

Let \( x \) be the length of ribbon. Proportion: \(\frac{93.5}{1.473}=\frac{x}{0.0535}\)

Step2: Solve for \( x \)

Cross - multiply: \(x=\frac{93.5\times0.0535}{1.473}\)
Calculate numerator: \(93.5\times0.0535 = 5.00225\)
Then \(x=\frac{5.00225}{1.473}\approx3.4\)

Answer:

\(3.4\) cm