High School

Solve the following proportion.

2/15 = 13/x


O A. 390

OB. 1.73

OC. 2.31

O D. 97.5

Answer :

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{2}{15}[/tex] = [tex]\frac{13}{x}[/tex] ( cross- multiply )

2x = 195 ( divide both sides by 2 )

x = 97.5 → D

Final answer:

To solve the given proportion 2/15 = 13/x, you cross-multiply to yield 2*x = 15*13. Calculating the product gives 2*x = 195. Then, dividing both sides by 2 provides the solution, x = 97.5.

Explanation:

To solve the given proportion, we can cross-multiply and then divide. Like this:

  1. First, cross-multiply. This involves multiplying 2 with the unknown x and 15 with 13. That will be: 2*x = 15*13.
  2. Calculate the product on the right-hand side: 2*x = 195.
  3. Finally, divide both sides by 2 to solve for x. It will be: x = 195/2.

So, x equals 97.5, and therefore, D) 97.5 is correct solution for the proportion 2/15 = 13/x.

Learn more about proportions here:

https://brainly.com/question/32430980

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