blazingtwinkie
Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.