Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.
2 answers:
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Answer:
30%
Step-by-step explanation:
Initial area is 40 square feet
Final area is 28 square feet
Difference between the initial and final areas will be 40-28=12 square feet
Taking the initial area as the base area and expressing the area change in percentage then the percentage decrease will be equivalent to
Therefore, the decrease in area expressed as a percentage is equal to 30%
Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting in (i), we get
So, given number is in the form of , where q is an integer.
On dividing by 26, we get
Since q is an integer, therefore (30q+1) is also an integer but is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.