Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts 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