What is x when 30 divided by x equals 7?
In other words, what would the divisor be if the dividend were 30 and the quotient 7?
To find the answer, just divide the dividend by the quotient: 30 ÷ 7 = 4.2857142857143
To prove this, let's compute 30 divided by 4.2857142857143:
How does it work?
Asking what the value of x could be when 30 divided by x gives a result of 7, 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 7:
- Which gives, after simplification: (or )
So, if the dividend is 30 and the quotient is 7, the divisor is 4.2857142857143.