A man walked steadily from 11.00am to 2.30pm at 5 kilometres per hour. how far did he walk
2 answers:
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Firts, Let 
be the repeated decimal that we are trying to convert , so 
equation (1)
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
(2)
Subtract equation (1) from equation (2):
Solve for
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
.
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
Subtract equation (1) from equation (2):
Solve for
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
The logarithm written as a sum of logarithm and simplified as much as possible is
From the question, we are to write the given logarithm expression as a sum or difference of logarithms
The given logarithm is
This can be written as
From one of the rules of logarithm, we have that
Thus,
becomes
This can be further simplified into
If desired, this can be further simplified into
Hence, the logarithm written as a sum of logarithm and simplified as much as possible is
Learn more on Simplifying logarithms here: brainly.com/question/17851187
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