What is x when 90 divided by x equals 11?
In other words, what would the divisor be if the dividend were 90 and the quotient 11?
To find the answer, just divide the dividend by the quotient: 90 ÷ 11 = 8.1818181818182
To prove this, let's compute 90 divided by 8.1818181818182:
How does it work?
Asking what the value of x could be when 90 divided by x gives a result of 11, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 11:
- Which gives, after simplification: (or )
So, if the dividend is 90 and the quotient is 11, the divisor is 8.1818181818182.