Question
9:51PM Thu Feb 20 \( 47 \% \) Emilio Mejia Felici... R. 4 Evaluate linear expressions Video 07:13 V Evaluate the expression for \( y=-0.3 \). Write your answer as a decimal or whole number. \[ -16.6-16 y= \] \( \square \) Submit Not ready yet?
Ask by Watkins Page. in Puerto Rico
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The evaluated expression is \(-11.8\).
Solution
To evaluate the expression \(-16.6 - 16y\) for \(y = -0.3\), we will follow these steps:
1. **Substitute the value of \(y\)** into the expression.
2. **Perform the calculations** step by step.
Let's start with the substitution:
\[
-16.6 - 16(-0.3)
\]
Now, we will calculate \(16(-0.3)\):
\[
16 \times -0.3 = -4.8
\]
Next, we substitute this value back into the expression:
\[
-16.6 - (-4.8)
\]
This simplifies to:
\[
-16.6 + 4.8
\]
Now, we perform the addition:
\[
-16.6 + 4.8 = -11.8
\]
Thus, the evaluated expression is:
\[
\boxed{-11.8}
\]
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Extra Insights
To evaluate the expression \(-16.6 - 16y\) for \(y = -0.3\), simply substitute \(-0.3\) for \(y\) in the equation. This gives you \(-16.6 - 16 \times (-0.3)\). Multiplying \(-16\) by \(-0.3\) gives \(4.8\), so now you have \(-16.6 + 4.8\), which equals \(-11.8\). Thus, the final answer is \(-11.8\). Remember to be careful with negative signs when substituting values. It's easy to make a common mistake by forgetting that multiplying two negatives results in a positive. Always keep track of your signs to ensure you reach the correct conclusion!