which equation can be used to find 150 percen...
which equation can be used to find 150 percent of 500?\n$\frac{150\times5}{100\times5}=\frac{750}{500}$\n$\frac{500\times5}{100\times5}=\frac{2500}{500}$\n$\frac{150\times1}{500\times1}=\frac{150}{500}$\n$\frac{100\times3.3}{150\times3.3}=\frac{330}{495}$
Answer
# Explanation:
## Step1: Recall percentage formula
To find \(p\%\) of a number \(n\), we use the formula \(\frac{p}{100}\times n\). Here, \(p = 150\) and \(n=500\), so we want \(\frac{150}{100}\times500\). We can rewrite this as an equivalent - fraction form. If we want to keep the denominator as 500, we note that \(\frac{150}{100}=\frac{150\times5}{100\times5}\) (by multiplying numerator and denominator by 5).
## Step2: Analyze the options
We are looking for an equation that represents the correct proportion for finding 150% of 500. The correct proportion for finding 150% of 500 in fraction - form with a denominator of 500 is \(\frac{150\times5}{100\times5}=\frac{750}{500}\).
# Answer:
\(\frac{150\times5}{100\times5}=\frac{750}{500}\) (First option)