blazingtwinkie
Answered

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The ratio 125:x is equivalent to the ratio x^2:125. What is the value of x?

Sagot :

mariamikayla
[tex]125:x=x^2:125 \\ \\ \frac{125}{x}=\frac{x^2}{125} \\ \\ x*x^2=125*125 \\ \\ x^3= 5^3*5^3 \\ \\ x^3=5^6 \\ \\ x^3=(5^2)^3 \\ \\ x^3=25^3 \\\\ \boxed{x=25}[/tex]
boffeemadrid

Answer:

x=25

Step-by-step explanation:

It is given that the ratio [tex]125:x[/tex] is equivalent to the ratio [tex]x^2:125[/tex].

Then, it can be written as:

[tex]125:x=x^2:125[/tex]

⇒[tex]\frac{125}{x}=\frac{x^2}{125}[/tex]

⇒[tex]x^3=5^3{\times}5^3[/tex]

⇒[tex]x^3=5^6[/tex]

⇒[tex]x^3=((5)^2)^3[/tex]

⇒[tex]x=(5)^2[/tex]

⇒[tex]x=25[/tex]

Thus, the value of x will be 25.

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