Question
a) \( 0,25=\frac{1}{x} \)
Ask by Howell Spencer. in Sweden
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 4 \)
Solution
För att lösa ekvationen \( 0,25 = \frac{1}{x} \) följer vi dessa steg:
1. **Skriv om ekvationen för att lösa ut \( x \):**
\[
0,25 = \frac{1}{x}
\]
2. **Ta inversen på båda sidor av ekvationen för att isolera \( x \):**
\[
\frac{1}{0,25} = x
\]
3. **Beräkna värdet:**
\[
x = 4
\]
**Svar:** \( x = 4 \)
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To solve for \( x \), you can start by rewriting the equation. Multiplying both sides by \( x \) gives you \( 0.25x = 1 \). Next, divide both sides by \( 0.25 \) to isolate \( x \). This simplifies to \( x = \frac{1}{0.25} \), which equals \( 4 \). So, the solution is \( x = 4 \)! Now, if you're wondering how to quickly convert decimals to fractions or the other way around, just remember that \( 0.25 \) equals \( \frac{25}{100} \), which simplifies to \( \frac{1}{4} \). Knowing this can be super handy in math problems where fractions and decimals are involved.