Question

A certain computer performs 1.5 x 10^8 calculations per second. How many seconds would it take this computer to perform 6.0 x 10^16 calculations? * A. 2.5 x 10^8 B. 4.0 x 10^8 C.4.0 x 10^2 D.9.0 x 10^24

Answer 1

It is would take the computer

`4.0*10^8\text{ seconds}`

to perform

`6.0*10^(16)\text{ calculations}`

Step-by-step explanation:

Given that the computer performs

`\text{1}.5*10^8`

per second.

We want to find how many seconds it woult take it to perform:

`6.0*10^(16)`

Let x represent the number of seconds it will take, then

`\begin{gathered} 1.5*10^8x=6.0*10^(16) \\ \\ x=(6.0*10^(16))/(1.5*10^8) \\ \\ =(6.0)/(1.5)*10^(16-8) \\ \\ =4.0*10^8 \end{gathered}`