Solve for $b$ in the following expression.
$2.4=4.8 b$
Round to two decimal places if needed.
Answer (2)
Divide both sides of the equation by 4.8 to isolate b : 4.8 2.4 = b .
Calculate the value of b : b = 0.5 .
Round the value to two decimal places: b = 0.50 .
The solution for b is: 0.50 .
Explanation
Understanding the Problem We are given the equation 2.4 = 4.8 b and asked to solve for b . This is a straightforward algebraic problem that involves isolating the variable b on one side of the equation.
Isolating b To isolate b , we need to divide both sides of the equation by the coefficient of b , which is 4.8 . This gives us: 4.8 2.4 = 4.8 4.8 b 4.8 2.4 = b
Calculating b Now, we perform the division: b = 4.8 2.4 = 0.5 Since the problem asks us to round to two decimal places if needed, we can write 0.5 as 0.50 .
Final Answer Therefore, the solution for b is 0.50 .
Examples
Imagine you're buying coffee and the total cost is $2.4, with each cup costing $4.8. Solving the equation 2.4 = 4.8 b helps you determine that you only bought half a cup of coffee (0.5 cups). This kind of problem is useful in everyday situations where you need to calculate proportions or rates, such as determining how much of an ingredient to use in a recipe or figuring out how many items you can buy with a certain amount of money.
To solve for b in 2.4 = 4.8 b , divide both sides by 4.8 to get b = 0.5 . Rounding to two decimal places, the final answer is 0.50 .
;
