IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Sagot :
To find an algebraic expression that represents "45 less than the product of 18 and a number," we need to follow a step-by-step approach.
1. Identify the Variable:
Let's denote the unknown number by [tex]\( n \)[/tex].
2. Determine the Product:
The product of 18 and the number [tex]\( n \)[/tex] is represented as [tex]\( 18n \)[/tex].
3. Subtract 45 from the Product:
To find an expression for "45 less than the product," we need to subtract 45 from [tex]\( 18n \)[/tex].
Combining these steps, we write the algebraic expression as:
[tex]\[ 18n - 45 \][/tex]
Now, let's compare this with the given options:
- Option A: [tex]\( 18n - 45 \)[/tex]
- Option B: [tex]\( 45 - 18n \)[/tex]
- Option C: [tex]\( 18(n - 45) \)[/tex] (which simplifies to [tex]\( 18n - 810 \)[/tex])
- Option D: [tex]\( n(18 - 45) \)[/tex] (which simplifies to [tex]\( n \cdot (-27) \)[/tex] or [tex]\( -27n \)[/tex])
Considering the correct formation and subtraction, the correct answer is:
[tex]\[ \boxed{18n - 45} \][/tex]
Thus, the correct option is:
Option A: [tex]\( 18n - 45 \)[/tex].
1. Identify the Variable:
Let's denote the unknown number by [tex]\( n \)[/tex].
2. Determine the Product:
The product of 18 and the number [tex]\( n \)[/tex] is represented as [tex]\( 18n \)[/tex].
3. Subtract 45 from the Product:
To find an expression for "45 less than the product," we need to subtract 45 from [tex]\( 18n \)[/tex].
Combining these steps, we write the algebraic expression as:
[tex]\[ 18n - 45 \][/tex]
Now, let's compare this with the given options:
- Option A: [tex]\( 18n - 45 \)[/tex]
- Option B: [tex]\( 45 - 18n \)[/tex]
- Option C: [tex]\( 18(n - 45) \)[/tex] (which simplifies to [tex]\( 18n - 810 \)[/tex])
- Option D: [tex]\( n(18 - 45) \)[/tex] (which simplifies to [tex]\( n \cdot (-27) \)[/tex] or [tex]\( -27n \)[/tex])
Considering the correct formation and subtraction, the correct answer is:
[tex]\[ \boxed{18n - 45} \][/tex]
Thus, the correct option is:
Option A: [tex]\( 18n - 45 \)[/tex].
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.