Respuesta :

Solution:

Note that:

  • 18:10 = x:5

Solving for x:

  • 18:10 = x:5
  • => 18/10 = x/5
  • => 18/2 = x/1
  • => 9 = x

The value of x that makes the ratio true is 9.

Answer:

18:10 is equivalent to 9:5

Step-by-step explanation:

Hello!

Ratios can be expressed as a fraction, such that a:b is the same as [tex]\frac{a}b[/tex].

Similarly, we can use that for 18:10.

18:10 = [tex]\frac{18}{10}[/tex]

We can simplify this:

  • 18:10 = [tex]\frac{18}{10}[/tex]
  • = [tex]\frac95[/tex]

Now, let's assign the blank number as x

Let's represent it as a fraction:

  • x :5 = [tex]\frac{x}5[/tex]

Let's solve for the variable:

  • [tex]\frac95 = \frac{x}{5} \hookrightarrow $multiply both sides by 5 to get rid of the denominator[/tex]
  • [tex]9 = x[/tex]

There you have it! 18:10 = 9:5

-Chetan K