Final answer:
The equation 0.25(4f-3)=0.05(10f-9) is solved by expanding and rearranging to isolate the variable f, resulting in f = 2.4.
Step-by-step explanation:
The question you've asked is about solving a linear equation. To solve 0.25(4f-3)=0.05(10f-9), we first expand both sides of the equation:
0.25 * 4f - 0.25 * 3 = 0.05 * 10f - 0.05 * 9
which simplifies to:
1f - 0.75 = 0.5f - 0.45.
Next, we will bring all terms containing f to one side and the constant terms to the other side:
1f - 0.5f = 0.45 + 0.75
This gives us:
0.5f = 1.2.
To find the value of f, we divide both sides by 0.5:
f = 1.2 / 0.5
f = 2.4.
Therefore, the solution to the equation is f = 2.4.