4% of what number is 2
2 answers:
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Answer:
The faster computer can do the job in 20 mins on it own.
Step-by-step explanation:
Given:
Time taken by slower computer to do job on its own =30 minutes.
Time taken by both the computers to do the job = 12 mins.
We need to find the Time taken by faster computer to do job on its own.
Solution:
Let the the Time taken by faster computer to do job on its own be 'x'.
Now we know that;
Rate to complete the job is equal to number of jobs divided by time taken to complete the job.
Rate of faster computer =
Rate of slower computer =
Rate of both the computers =
Now we can say that;
Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.
framing in equation form we get;
Now we will take the LCM to make the denominator common we get;
Now denominator are same so we will solve the numerator.
Hence The faster computer can do the job in 20 mins on it own.
For this case we have the following expression:
We follow the steps below:
We subtract 4x on both sides of the equation:
We subtract 10 from both sides of the equation:
Now, we must complete squares.
When we have an equation of the form:
, if we want to complete squares we must subtract c on both sides of the equation obtaining:
The square is completed by adding to both sides of the equation:
So, we have left:
In the given expression we have:
And to complete the square we have:
Rewriting we have:
We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:
So, we have:
Answer:
The intermediate step is to complete squares
Answer:
Number of algae in 7 days = 70.355
Step-by-step explanation:
Given:
Algae in beginning = 50
Rate of increasing = 5% per day = 0.05
Number of days = 7 days
Find:
Number of algae in 7 days.
Computation:
Number of algae in 7 days = 70.355