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M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17?
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M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when...
Given:
M varies directly as y
y = 3/7 when m = 5/4
To find:
m when y is 13/17
Solution:
Let's consider the direct variation equation:
M = k * y
Where k is the constant of variation.
Finding the constant of variation:
We are given that y = 3/7 when m = 5/4.
Substituting these values into the equation, we get:
5/4 = k * 3/7
Simplifying the equation, we have:
5/4 = 3k/7
Cross-multiplying, we get:
5 * 7 = 4 * 3k
35 = 12k
Dividing both sides by 12, we find:
k = 35/12
Finding m when y is 13/17:
Now that we have the value of k, we can use it to find m when y is 13/17.
Substituting the values into the direct variation equation, we have:
M = (35/12) * (13/17)
M = (35 * 13) / (12 * 17)
Calculating the numerator and denominator separately:
Numerator: 35 * 13 = 455
Denominator: 12 * 17 = 204
Therefore, m = 455/204
Final Answer:
When y is 13/17, m is equal to 455/204.
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M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17?
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M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17?.
M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M varies directly as y and y is equal to 3/7 when m = 5/4. Find m when y is 13/17?.
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