Answer :
Sure! Let's break down the problem step-by-step to understand how we arrive at the solution:
1. Identify the unknown number: Let's represent the unknown number with a variable, which we'll call [tex]\( n \)[/tex].
2. Find the difference of eleven and the unknown number:
[tex]\[
11 - n
\][/tex]
3. Calculate four times the difference:
[tex]\[
4 \times (11 - n) = 4 \times 11 - 4 \times n = 44 - 4n
\][/tex]
4. Add three more to the result from step 3:
[tex]\[
3 + (44 - 4n) = 3 + 44 - 4n = 47 - 4n
\][/tex]
Therefore, the expression "three more than four times the difference of eleven and a number" is represented by [tex]\( 47 - 4n \)[/tex].
1. Identify the unknown number: Let's represent the unknown number with a variable, which we'll call [tex]\( n \)[/tex].
2. Find the difference of eleven and the unknown number:
[tex]\[
11 - n
\][/tex]
3. Calculate four times the difference:
[tex]\[
4 \times (11 - n) = 4 \times 11 - 4 \times n = 44 - 4n
\][/tex]
4. Add three more to the result from step 3:
[tex]\[
3 + (44 - 4n) = 3 + 44 - 4n = 47 - 4n
\][/tex]
Therefore, the expression "three more than four times the difference of eleven and a number" is represented by [tex]\( 47 - 4n \)[/tex].
