Answer: [tex]10^6[/tex] calculations in [tex]10[/tex] seconds (or [tex]1,000,000[/tex] calculations in [tex]10[/tex] seconds)
Step-by-step explanation:
The complete exercise is: "A certain computer can perform 10^5 calculations per second. How many calculations can it perform in 10 seconds".
You need to analize the information provided in the exercise in order to solve it.
Let be "x" the number of calculation a certain computer can perform is ten seconds.
According to the exercise this computer can perform [tex]10^5[/tex] calculations in [tex]1[/tex] second. Then, in order to calculate the amount of calculattion it performs in [tex]10[/tex] seconds, you can set up the following proportion:
[tex]\frac{10^5}{1}=\frac{x}{10}[/tex]
Now, you need to find the value of "x".
To solve for "x" you can multiply both sides of the equation by [tex]10[/tex].
Then, you get:
[tex](10)(\frac{10^5}{1})=(\frac{x}{10})(10)\\\\10^6=x\\\\x=10^6[/tex]
Therefore, the computer can perform [tex]10^6[/tex] calculations in [tex]10[/tex] seconds (or [tex]1,000,000[/tex] calculations in [tex]10[/tex] seconds)
