What does the expression 0.90(d – 5) refer to? How do you know? How else

could this expression be written?...................

1 answer

The expression \(0.90(d - 5)\) likely signifies 90% of the quantity \(d - 5\). Here's a breakdown of the components and how we can interpret it:

  1. Understanding the Components:

    • \(d\): This is a variable that may represent a quantity, such as a distance, amount, or some other measurable value.
    • \(d - 5\): This expression suggests that 5 is being subtracted from whatever the value of \(d\) is. This could imply a deduction or an adjustment to the original measure represented by \(d\).
    • \(0.90(d - 5)\): Multiplying by 0.90 means we're taking 90% of the resultant quantity after adjusting \(d\) by subtracting 5.
  2. Contextual Meaning: Without additional context, it can be difficult to ascertain the specific application of this expression. However, it often appears in contexts like finance (e.g., calculating a discounted price), performance metrics (e.g., measuring efficiency), or other scenarios where a reduction is made before applying a percentage.

  3. Alternative Representation:

    • The expression can be expanded using the distributive property: \[ 0.90(d - 5) = 0.90d - 0.90 \times 5 = 0.90d - 4.5 \]
    • So, you could also write the expression as \(0.90d - 4.5\).

In summary, \(0.90(d - 5)\) typically signifies taking 90% of the result obtained after subtracting 5 from \(d\), and it can also be expressed as \(0.90d - 4.5\).