Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Let's carefully break down the given word description: "The quotient of four and the sum of a number and three."
1. Quotient means division – We need to divide one quantity by another.
2. Four – This is the numerator of our division.
3. The sum of a number and three – This sum forms the denominator of our division.
Now let's translate these parts into an algebraic expression step-by-step:
- We represent the unknown number as [tex]\( x \)[/tex].
- The sum of this number and three is written as [tex]\( x + 3 \)[/tex].
- The quotient of four and this sum is represented as [tex]\(\frac{4}{x+3}\)[/tex].
Now to match this expression with the given choices:
A. [tex]\(\frac{x+3}{4}\)[/tex] – This option reverses the correct quotient.
B. [tex]\(\frac{x}{4}+3\)[/tex] – Here, only [tex]\( x \)[/tex] is divided by 4, and then 3 is added, which doesn't match our description.
C. [tex]\(\frac{4}{x+3}\)[/tex] – This matches our derived expression perfectly.
D. [tex]\(\frac{4}{x}+3\)[/tex] – This incorrectly adds 3 after dividing 4 by [tex]\( x \)[/tex].
Hence, the correct answer is:
[tex]\[ \boxed{3} \][/tex]
1. Quotient means division – We need to divide one quantity by another.
2. Four – This is the numerator of our division.
3. The sum of a number and three – This sum forms the denominator of our division.
Now let's translate these parts into an algebraic expression step-by-step:
- We represent the unknown number as [tex]\( x \)[/tex].
- The sum of this number and three is written as [tex]\( x + 3 \)[/tex].
- The quotient of four and this sum is represented as [tex]\(\frac{4}{x+3}\)[/tex].
Now to match this expression with the given choices:
A. [tex]\(\frac{x+3}{4}\)[/tex] – This option reverses the correct quotient.
B. [tex]\(\frac{x}{4}+3\)[/tex] – Here, only [tex]\( x \)[/tex] is divided by 4, and then 3 is added, which doesn't match our description.
C. [tex]\(\frac{4}{x+3}\)[/tex] – This matches our derived expression perfectly.
D. [tex]\(\frac{4}{x}+3\)[/tex] – This incorrectly adds 3 after dividing 4 by [tex]\( x \)[/tex].
Hence, the correct answer is:
[tex]\[ \boxed{3} \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.