Question

respond to the following based on your reading. find the number that completes each of the following proportions: a. $\frac{8}{120}=\frac{4}{c}$ b. $\frac{n}{0.5}=\frac{0.7}{1}$ c. $\frac{8}{x}=\frac{2}{3}$ d. $7:6 = k:120$

Explanation:

Part a

Step1: Cross - multiply the proportion

We have the proportion \(\frac{8}{120}=\frac{4}{c}\). Cross - multiplying gives us \(8\times c = 120\times4\).

Step2: Solve for \(c\)

First, calculate \(120\times4 = 480\). Then, we have the equation \(8c=480\). Divide both sides of the equation by 8: \(c=\frac{480}{8}=60\).

Part b

Step1: Cross - multiply the proportion

For the proportion \(\frac{n}{0.5}=\frac{0.7}{1}\), cross - multiplying gives \(n\times1=0.5\times0.7\).

Step2: Solve for \(n\)

Calculate \(0.5\times0.7 = 0.35\). So, \(n = 0.35\).

Part c

Step1: Cross - multiply the proportion

Given \(\frac{8}{x}=\frac{2}{3}\), cross - multiplying gives \(8\times3=2\times x\).

Step2: Solve for \(x\)

First, calculate \(8\times3 = 24\). Then we have the equation \(2x = 24\). Divide both sides by 2: \(x=\frac{24}{2}=12\).

Part d

Answer:

s:
a. \(c = 60\)
b. \(n = 0.35\)
c. \(x = 12\)
d. \(k = 140\)