Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The product of three positive numbers is 2560. One of those numbers, z, is 60 percent greater than the product of the other two numbers. What is the value of z?

Sagot :

Answer:

64

Step-by-step explanation:

Let x,y and z represent the product of three positive numbers so

[tex]xyz = 2560[/tex]

We also know z is 60% greater than product of the other two numbers.

Let this be

[tex]z = (1.6)xy[/tex]

We must find the value of z.

Subsitue (1.6)xy for z.

[tex](xy)(xy)(1.6) = 2560[/tex]

[tex]1.6 {x}^{2} {y}^{2} = 2560[/tex]

[tex] {x}^{2} {y}^{2} = 1600[/tex]

[tex]xy = 40[/tex]

Now subsitue this in to any our orginal equation.solve for

[tex]1.6(40) = z[/tex]

[tex]64 = z[/tex]

or we can

[tex]xyz = 2560[/tex]

[tex]40(z) = 2560[/tex]

[tex]z = 64[/tex]

So our z value is 64

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.