Solve the following equation for d: f = 5Rd. Be sure to take into account whether a letter is capitalized or not.
Understand the Problem
The question is asking to solve the equation f = 5Rd for the variable d, while considering the case sensitivity of the variables. This involves rearranging the equation to isolate d.
Answer
The solution for \(d\) is given by: $$ d = \frac{f}{5R} $$
Answer for screen readers
The solution for (d) is given by:
$$ d = \frac{f}{5R} $$
Steps to Solve
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Identify the equation to solve
The original equation is given as:
$$ f = 5Rd $$ -
Isolate the variable d
To solve for d, we need to divide both sides of the equation by (5R):
$$ d = \frac{f}{5R} $$ -
Final expression
Thus, the expression for d in terms of f and R is:
$$ d = \frac{f}{5R} $$
The solution for (d) is given by:
$$ d = \frac{f}{5R} $$
More Information
In this equation, (f), (R), and (d) are treated as variables, and the division accounts for the factors affecting (d). It's important to maintain case sensitivity since (R) and (r) could represent different values in real-world scenarios.
Tips
- Not accounting for case sensitivity: Ensure that you correctly differentiate between (R) and (r) as they could lead to different results.
- Reversing operation orders: Be cautious to correctly apply algebraic operations when isolating a variable.
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