College

Which is a correct representation of this problem where Marci performed a division with 175 as the dividend, 5 as the divisor, and 35 as the quotient?

A. [tex]\frac{175}{35} = 5[/tex]
B. [tex]35 \div 5 = 175[/tex]
C. [tex]\frac{175}{5} = 35[/tex]
D. [tex]5 \div 175 = 35[/tex]

Answer :

To solve this problem, let's break down the division represented:

1. Understand the Elements:
- Dividend: The number being divided is 175.
- Divisor: The number you are dividing by is 5.
- Quotient: The result of the division is 35.

2. Verify the Division:
The division is typically represented as:
[tex]\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\][/tex]
Plugging in the numbers we have:
[tex]\[
175 \div 5 = 35
\][/tex]
The division statement matches with what's given: 175 divided by 5 gives a quotient of 35.

3. Determine the Correct Representation:
Let's assess the options provided:

- Option 1: [tex]\(\frac{175}{35} = 5\)[/tex]
- This is incorrect because dividing 175 by 35 does not yield 5.

- Option 2: [tex]\(35 \div 5 = 175\)[/tex]
- This is incorrect as dividing 35 by 5 does not give 175.

- Option 3: [tex]\(\frac{175}{5} = 35\)[/tex]
- This is correct because dividing 175 by 5 results in 35.

- Option 4: [tex]\(5 \div 175 = 35\)[/tex]
- This is incorrect since dividing 5 by 175 does not yield 35.

Therefore, the correct representation of this division problem is:
[tex]\[
\frac{175}{5} = 35
\][/tex]
This matches the original division performed by Marci.

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