Question

1. solve the equation for x:

\\(\frac{3}{4} = \frac{x}{60}\\)
a. 45
b. 40
c. 30
d. 25

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{3}{4}=\frac{x}{60}\), cross - multiplying (which is based on the property of proportions: if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)) gives us \(4\times x=3\times60\).

Step2: Simplify the right - hand side

Calculate \(3\times60 = 180\), so the equation becomes \(4x = 180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(4x = 180\) by 4. That is \(x=\frac{180}{4}\). Simplifying \(\frac{180}{4}\), we get \(x = 45\).

Answer:

A. 45