Answered

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If [tex]$c$[/tex] is the number of cars in a parking lot, which algebraic expression represents the phrase "the sum of the number of cars and 9"?

A. [tex]$c+9$[/tex]
B. [tex][tex]$c-9$[/tex][/tex]
C. [tex]$9c$[/tex]
D. 5

Sagot :

GinnyAnswer
To solve the problem, we need to translate the given phrase into an algebraic expression. The phrase is: "the sum of the number of cars and 9."

Here are the detailed steps to find the correct algebraic expression:

1. Identify the variable:
- In this problem, the variable [tex]\( c \)[/tex] represents the number of cars in the parking lot.

2. Understand the phrase:
- The term "the sum of" indicates that we are dealing with addition.
- We need to add two quantities: the number of cars (represented by [tex]\( c \)[/tex]) and the number 9.

3. Translate the phrase into an algebraic expression:
- The phrase "the number of cars" is [tex]\( c \)[/tex].
- Therefore, the phrase "the sum of the number of cars and 9" translates to [tex]\( c + 9 \)[/tex].

4. Match the expression with the given choices:
- Option A: [tex]\( c + 9 \)[/tex]
- Option B: [tex]\( c - 9 \)[/tex]
- Option C: [tex]\( 9c \)[/tex]
- Option D: 4 (this assumes Option D was intended to be 4)

Since the correct algebraic expression for the given phrase is [tex]\( c + 9 \)[/tex], we can see that it corresponds to:
- Option A: [tex]\( c + 9 \)[/tex]

Thus, the correct choice is:

Choice A: [tex]\( c + 9 \)[/tex].
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