Question

question 2 (1 point)
use cross multiplication to solve the following proporiton for x.
video timestamp is 4:20 for this concept.
step 1: multiply diagnoally. (4 times 5 = 10 times x)
step 2: solve for x.
\\(\frac{4}{10} = \frac{x}{5}\\)
\\(\bigcirc\\) a \quad 2
\\(\bigcirc\\) b \quad 2.5
\\(\bigcirc\\) c \quad 0.8
\\(\bigcirc\\) d \quad 12.5

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

Explanation:

Question 2 Solution:

Step 1: Cross - Multiply

Given the proportion \(\frac{4}{10}=\frac{x}{5}\), cross - multiplying (multiplying the numerator of the left - hand side by the denominator of the right - hand side and vice - versa) gives us \(4\times5 = 10\times x\). So, \(20=10x\).

Step 2: Solve for \(x\)

To solve for \(x\), we divide both sides of the equation \(20 = 10x\) by 10. \(\frac{20}{10}=\frac{10x}{10}\), which simplifies to \(x = 2\).

Step 1: Cross - Multiply

Given the proportion \(\frac{x}{56}=\frac{8}{35}\), cross - multiplying gives \(x\times35=8\times56\). Calculate \(8\times56 = 448\), so the equation is \(35x = 448\).

Step 2: Solve for \(x\)

Divide both sides of the equation \(35x = 448\) by 35. \(x=\frac{448}{35}\). Simplify \(\frac{448}{35}=\frac{64}{5}=12.8\) (If there was a typo and the proportion was different, but based on the given step 1: \(x\times56 = 8\times35\), then \(56x=280\), \(x = 5\)). But based on the step 1 description: "Multiply diagonally (x times 56 = 8 times 35)", we proceed as follows:
From \(56x=8\times35\), \(8\times35 = 280\), so \(56x = 280\). Divide both sides by 56: \(x=\frac{280}{56}=5\).

Answer:

a. 2

Question 3 (assuming the proportion is \(\frac{x}{56}=\frac{8}{35}\) from the given step 1: \(x\times35 = 8\times56\)):