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Answer :
To solve the problem, we need to interpret the verbal expression "35b greater than 17c" and find the equivalent mathematical expression.
The phrase "35b greater than" suggests that we are comparing two quantities and the operation involved is subtraction. This means we want to find the quantity that results when "35b" exceeds or is more than "17c".
Therefore, the correct mathematical interpretation of "35b greater than 17c" is to subtract "17c" from "35b". This can be written as:
[tex]\[ 35b - 17c \][/tex]
Let's look at the options given and see which one matches:
1. [tex]\(\frac{35b}{17c}\)[/tex] represents division, not subtraction, so this is not correct.
2. [tex]\(35b - 17c\)[/tex] matches our interpretation of subtraction, making it the correct choice.
3. [tex]\(17c + 35b\)[/tex] represents addition, not subtraction, so this is not correct.
4. [tex]\(35b \cdot 17c\)[/tex] represents multiplication, not subtraction, so this is not correct.
Therefore, the expression equivalent to the verbal expression "35b greater than 17c" is:
[tex]\[ 35b - 17c \][/tex]
So, the correct answer is [tex]\(35b - 17c\)[/tex].
The phrase "35b greater than" suggests that we are comparing two quantities and the operation involved is subtraction. This means we want to find the quantity that results when "35b" exceeds or is more than "17c".
Therefore, the correct mathematical interpretation of "35b greater than 17c" is to subtract "17c" from "35b". This can be written as:
[tex]\[ 35b - 17c \][/tex]
Let's look at the options given and see which one matches:
1. [tex]\(\frac{35b}{17c}\)[/tex] represents division, not subtraction, so this is not correct.
2. [tex]\(35b - 17c\)[/tex] matches our interpretation of subtraction, making it the correct choice.
3. [tex]\(17c + 35b\)[/tex] represents addition, not subtraction, so this is not correct.
4. [tex]\(35b \cdot 17c\)[/tex] represents multiplication, not subtraction, so this is not correct.
Therefore, the expression equivalent to the verbal expression "35b greater than 17c" is:
[tex]\[ 35b - 17c \][/tex]
So, the correct answer is [tex]\(35b - 17c\)[/tex].
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