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6. what is the value of \\(\\frac{3}{8}x - 4.5\\) when \\(x = 0.4\\)?

Question

  1. what is the value of \\(\frac{3}{8}x - 4.5\\) when \\(x = 0.4\\)?

Explanation:

Step1: Substitute \( x = 0.4 \) into the expression

We have the expression \( \frac{3}{8}x - 4.5 \), and we substitute \( x = 0.4 \) into it. So we get \( \frac{3}{8} \times 0.4 - 4.5 \).

Step2: Calculate \( \frac{3}{8} \times 0.4 \)

First, convert \( 0.4 \) to a fraction, \( 0.4=\frac{4}{10}=\frac{2}{5} \). Then \( \frac{3}{8} \times \frac{2}{5}=\frac{3\times2}{8\times5}=\frac{6}{40} = 0.15 \).

Step3: Calculate the final result

Now we have \( 0.15 - 4.5 \). Subtracting these two numbers, we get \( 0.15-4.5=-4.35 \).

Answer:

\(-4.35\)