Question

thursday: proportions (\frac{3}{4} = \frac{x}{8}) challenge: (\triangle + \bigcirc + \bigcirc + square) (with smiley - faced circles for (\bigcirc))

Explanation:

Step1: Cross - multiply the proportion

Given the proportion $\frac{3}{4}=\frac{X}{8}$, we cross - multiply. Cross - multiplying means that we multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the denominator of the first fraction multiplied by the numerator of the second fraction. So we get $4\times X = 3\times8$.

Step2: Solve for X

Simplify the right - hand side of the equation: $3\times8 = 24$. So our equation becomes $4X=24$. Then, to solve for $X$, we divide both sides of the equation by 4. That is $X=\frac{24}{4}$.

Step3: Calculate the value of X

$\frac{24}{4}=6$.

Answer:

$X = 6$