Final answer:
To evaluate the expression 20/4(4/20x)=20/4(11), you need to follow the order of operations. The value of the expression is x = 55.
Step-by-step explanation:
To evaluate the expression 20/4(4/20x)=20/4(11), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), from left to right. Let's break it down step by step:
- Simplify the expression within the parentheses: 4/20x = 1/5x
- Multiply 20 by 1/5x: 20 * 1/5x = 4x
- Divide 4x by 4: 4x / 4 = x
- Multiply 20/4 by 11: 20/4 * 11 = 55
Therefore, the value of the expression is x = 55.