Question

question 3 (1 point)
use cross multiplication to solve the following proporiton for x.
video timestamp is 4:20 for this concept.
step 1: multiply diagnoally. (x times 56 = 8 times 35)
step 2: solve for x.
\\(\frac{x}{8} = \frac{35}{56}\\)
\\(\circ\\) a \\(\\ \\ 5.5\\)
\\(\circ\\) b \\(\\ \\ 12\\)
\\(\circ\\) c \\(\\ \\ 12.8\\)
\\(\circ\\) d \\(\\ \\ 5\\)

Explanation:

Step1: Cross - multiply

Given the proportion \(\frac{x}{8}=\frac{35}{56}\), by cross - multiplication (multiplying the numerator of the first fraction by the denominator of the second fraction and vice - versa), we get \(x\times56 = 8\times35\).

Step2: Solve for x

First, calculate the right - hand side: \(8\times35=280\).
So the equation becomes \(56x = 280\).
To solve for \(x\), divide both sides of the equation by 56: \(x=\frac{280}{56}\).
Simplifying \(\frac{280}{56}\), we know that \(280\div56 = 5\).

Answer:

d. 5