Question

ce 1 - properties of exponents and order of operations
solve for ( x ) in the following proportion:
( \frac{7}{28} = \frac{8}{x} )
points possible: 2
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Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{7}{28}=\frac{8}{x}\), cross - multiplying gives us \(7\times x = 28\times8\).

Step2: Simplify the right - hand side

Calculate \(28\times8 = 224\), so the equation becomes \(7x=224\).

Step3: Solve for \(x\)

Divide both sides of the equation \(7x = 224\) by 7. We have \(x=\frac{224}{7}\).

Step4: Calculate the value of \(x\)

\(\frac{224}{7}=32\).

Answer:

\(32\)