Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve for x. \\(\\frac{3}{2} = \\frac{x}{100}\\) answer attemp…

Question

question
solve for x.
\\(\frac{3}{2} = \frac{x}{100}\\)
answer attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Cross - multiply the equation

To solve for \(x\) in the equation \(\frac{3}{2}=\frac{x}{100}\), we can use cross - multiplication. Cross - multiplication means that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So for our equation, we have \(3\times100=2\times x\).

Step2: Solve for \(x\)

First, calculate the left - hand side of the equation \(3\times100 = 300\). So our equation becomes \(300 = 2x\). Then, to isolate \(x\), we divide both sides of the equation by 2. That is \(x=\frac{300}{2}\).

Step3: Calculate the value of \(x\)

\(\frac{300}{2}=150\).

Answer:

\(x = 150\)