Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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 strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.