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Lenvy

Answer:

x = 8

Step-by-step explanation:

Write as fraction form

[tex]\frac{2}{5}=\frac{x}{20}[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]\frac{x}{20}=\frac{2}{5}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]\frac{x}{20}\cdot \:10=\frac{2}{5}\cdot \:10[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{x}{2}=4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=4\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=8[/tex]

Hence, Answer is [D} x = 8

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Solution:

Given:

[tex]2:5 = x:20[/tex]

We know that:

  • Since the LHS and the RHS are equal, they form a proportion
  • [tex]\text{a:b} = \text{c:d} \rightarrow \text{ad} = \text{bc}[/tex]

To find x, let's multiply the extremes and put the product on one side. Then multiply the middles and put the product on the other side.

  • ⇒ [tex]2:5 = x:20[/tex]
  • ⇒ [tex]2 \times 20= x \times 5[/tex]

Now, solve for x.

  • ⇒ [tex]2 \times 20= x \times 5[/tex]
  • ⇒ [tex]40 = 5x[/tex]
  • ⇒ [tex]\frac{40}{5} = \frac{5x}{5}[/tex]
  • ⇒ [tex]\boxed{x = 8}[/tex]

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