Question

question 1 (1 point)
use cross multiplication to solve the following proportion for x.
video timestamp is 4:20 for this concept.
step 1: multiply diagonally. (2 times x = 7 times 3)
step 2: solve for x.
\\(\frac{2}{3} = \frac{7}{x}\\)
\\(\circ\\) a 11.5
\\(\circ\\) b 4.6666...
\\(\circ\\) c 10
\\(\circ\\) d 10.5

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{2}{3}=\frac{7}{x}\), by cross - multiplication (multiplying the numerator of the first fraction with the denominator of the second fraction and vice - versa), we get \(2\times x = 7\times3\).
So, \(2x=21\).

Step2: Solve for \(x\)

To solve for \(x\), we divide both sides of the equation \(2x = 21\) by 2.
\(x=\frac{21}{2}=10.5\)

Answer:

d. 10.5