Sure! Let's break down the expression "twelve more than the quotient of a number and eight" using the keywords given.
1. Identify key parts of the expression:
- "twelve" can be replaced with the number 12.
- "more than" indicates addition, so we will add two parts together.
- "quotient" refers to the result of division.
- "a number" is represented as [tex]\( k \)[/tex].
- "eight" is 8.
2. Translate the expression into a mathematical form:
- "twelve" becomes 12.
- "more than" translates to the + sign.
- "the quotient of a number and eight" translates to [tex]\( \frac{k}{8} \)[/tex].
So, the expression "twelve more than the quotient of a number and eight" translates to:
[tex]\[ 12 + \frac{k}{8} \][/tex]
3. Substitute the given value for [tex]\( k \)[/tex]:
- We are given [tex]\( k = 40 \)[/tex].
4. Plug in 40 into the expression:
[tex]\[ 12 + \frac{40}{8} \][/tex]
5. Calculate the value:
- First, find the quotient of 40 and 8:
[tex]\[ \frac{40}{8} = 5 \][/tex]
- Then, add this result to 12:
[tex]\[ 12 + 5 = 17 \][/tex]
Therefore, the value of the expression when [tex]\( k = 40 \)[/tex] is [tex]\( \boxed{17} \)[/tex].
