Question
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\( 19 \% \) of \( \square \) is 0.4 . (Round to the nearest tenth as needed.)

Ask by Gardner Norton. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

x is approximately 2.1.

Solution

Let x represent the unknown number. The statement "19% of x is 0.4" can be written as the equation:   0.19 × x = 0.4 To solve for x, divide both sides by 0.19:   x = 0.4 / 0.19 Calculating this gives approximately:   x ≈ 2.1053 Rounded to the nearest tenth, x is 2.1.

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Bonus Knowledge

To find the unknown value represented by the square, we can set up the equation: \( 0.19 \times \text{square} = 0.4 \). Rearranging gives us \( \text{square} = \frac{0.4}{0.19} \). Performing the calculation results in approximately \( 2.105 \). Rounding to the nearest tenth gives us \( 2.1 \). So, the unknown value is \( 2.1 \). If you want to check your calculations without a calculator, you can use estimation. Since \( 0.19 \) is slightly less than \( 0.2 \), you can think: If \( 0.2 \) of a number equals \( 0.4 \), that number would be \( 2 \). Since \( 0.19 \) is a bit less than \( 0.2 \), you can safely guess that the actual value will be slightly more than \( 2 \)—and you'd be right on the money with \( 2.1 \)!

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