Pregunta
5. Anumber is 6 less than the product of \( x \) and \( p \). Find the number
Ask by Mann Moreno. in Cambodia
Jan 21,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The number is \( N = xp - 6 \).
Solución
To find the number based on the given information, let's break down the statement step by step.
**Given Statement:**
"A number is 6 less than the product of \( x \) and \( p \)."
**Let's Define:**
- Let the **number** be represented by \( N \).
**Translating the Statement into an Equation:**
1. **Product of \( x \) and \( p \):** This can be written as \( x \times p \) or simply \( xp \).
2. **6 less than the product:** To indicate "6 less than," we subtract 6 from the product.
**Putting it all together:**
\[
N = (x \times p) - 6
\]
\[
N = xp - 6
\]
**Final Answer:**
\[
\boxed{N = xp - 6}
\]
This equation shows that the number \( N \) is equal to the product of \( x \) and \( p \) minus 6.
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
To find the number, we need to express it mathematically. If we let the number be \( N \), then according to the problem, we can write the equation as \( N = x \cdot p - 6 \). This means that to find the number, we simply multiply \( x \) by \( p \) and then subtract 6 from that product. For example, if \( x = 3 \) and \( p = 4 \), you would calculate \( N = 3 \cdot 4 - 6 = 12 - 6 = 6\). The key is determining the values for \( x \) and \( p \) before performing the calculation!
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