Choose the statement that best describes the equation1/4 m = 10.a)One ...
- Option A: Incorrect. This states "One-fourth of 10 is m," which is not accurate.
- Option B: Incorrect. It says "One-fourth of m is 3 more than 3," which is not relevant to the equation.
- Option C: Correct. This option correctly states "One-fourth of m is 10," aligning with the equation.
- Option D: Incorrect. It mentions "Four times m is 10," which is a different equation.
- Option E: Irrelevant.
Therefore, the correct answer is Option C: "One-fourth of m is 10."
View all questions of this test
Choose the statement that best describes the equation1/4 m = 10.a)One ...
Statement: One-fourth of m is 10.
To understand why this statement correctly describes the equation 1/4 m = 10, let's break down the equation and analyze each part.
Breaking down the equation:
1/4 m = 10
Here, 1/4 is the same as saying "one-fourth" or "1 divided by 4."
m represents an unknown value or variable.
10 is a constant value.
Understanding the equation:
When we say "one-fourth of m," we mean that we are taking a fraction of the value represented by m. In this case, the fraction is 1/4.
Interpreting the statement:
The statement "One-fourth of m is 10" means that if we take one-fourth of the value of m, the result will be equal to 10.
Explanation:
To solve the equation 1/4 m = 10, we need to find the value of m that satisfies this equation.
To isolate m, we can multiply both sides of the equation by 4 (the reciprocal of 1/4):
(1/4 m) * 4 = 10 * 4
This simplifies to:
m = 40
Therefore, the value of m that satisfies the equation 1/4 m = 10 is 40.
Conclusion:
The statement "One-fourth of m is 10" correctly describes the equation 1/4 m = 10 because it conveys the relationship between the unknown value m and the constant value 10. It clarifies that when one-fourth of m is calculated, the result will be 10. By solving the equation, we find that m is equal to 40, confirming the accuracy of the statement.
Choose the statement that best describes the equation1/4 m = 10.a)One ...
The correct answer is option C