Determine if each ratio is proportional or non-proportional to 37

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Proportional (Equivalent) to 37
Non-proportional (Not Equivalent) to 37

5 answers

To determine if a ratio is proportional or non-proportional to 37, you would typically compare the given ratio to the value of 37. Below are examples of how to check for proportionality with different ratios.

  1. Example Ratio: 74

    • 74 is proportional to 37 because \( 74 = 2 \times 37 \).
  2. Example Ratio: 18

    • 18 is non-proportional to 37 because it cannot be expressed as a multiple of 37.
  3. Example Ratio: 111

    • 111 is non-proportional to 37 because it does not equal a whole number multiple of 37.
  4. Example Ratio: 111

    • 111 is non-proportional to 37 because it does not equal a whole number multiple of 37.
  5. Example Ratio: 37

    • 37 is proportional to 37 because it is equal to itself.

If you have specific ratios you want to evaluate, please provide them and I can tell you if they are proportional or non-proportional to 37.

9/21
12/15
1.5/3.5
21/49
30/700

To determine if each ratio is proportional (equivalent) or non-proportional (not equivalent) to 37, we can simplify each of the ratios and compare them to 37.

  1. \( \frac{9}{21} \)

    • Simplifying: \( \frac{9 \div 3}{21 \div 3} = \frac{3}{7} \)
    • Not equivalent to 37 (3/7 is approximately 0.43).
  2. \( \frac{12}{15} \)

    • Simplifying: \( \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \)
    • Not equivalent to 37 (4/5 is 0.8).
  3. \( \frac{1.5}{3.5} \)

    • Simplifying: Convert to fraction, \( \frac{1.5}{3.5} = \frac{15/10}{35/10} = \frac{15}{35} \).
    • Simplifying: \( \frac{15 \div 5}{35 \div 5} = \frac{3}{7} \)
    • Not equivalent to 37 (3/7 is approximately 0.43).
  4. \( \frac{21}{49} \)

    • Simplifying: \( \frac{21 \div 7}{49 \div 7} = \frac{3}{7} \)
    • Not equivalent to 37 (3/7 is approximately 0.43).
  5. \( \frac{30}{700} \)

    • Simplifying: \( \frac{30 \div 10}{700 \div 10} = \frac{3}{70} \)
    • Not equivalent to 37 (3/70 is approximately 0.043).

Final Determination:

  • \( \frac{9}{21} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{12}{15} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{1.5}{3.5} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{21}{49} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{30}{700} \) - Non-proportional (Not Equivalent) to 37

All provided ratios are non-proportional (not equivalent) to 37.

are you sure

Let's clarify the determination of whether each ratio is proportional or non-proportional to 37 by comparing them directly. To establish proportionality, we need to find a constant ratio that matches 37 (for example, \( \frac{x}{y} = k \) for some constant \( k \)).

Ratios to Evaluate:

  1. \( \frac{9}{21} \)

    • Simplification gives \( \frac{3}{7} \).
    • \( \frac{3}{7} \times 37 \approx 15.86 \) (not equivalent).
  2. \( \frac{12}{15} \)

    • Simplification gives \( \frac{4}{5} \).
    • \( \frac{4}{5} \times 37 = 29.6 \) (not equivalent).
  3. \( \frac{1.5}{3.5} \)

    • Simplifying gives \( \frac{15}{35} = \frac{3}{7} \).
    • As with the first ratio, \( \frac{3}{7} \times 37 \approx 15.86 \) (not equivalent).
  4. \( \frac{21}{49} \)

    • Simplifying gives \( \frac{3}{7} \).
    • \( \frac{3}{7} \times 37 \approx 15.86 \) (not equivalent).
  5. \( \frac{30}{700} \)

    • Simplifying gives \( \frac{3}{70} \).
    • \( \frac{3}{70} \times 37 \approx 1.59 \) (not equivalent).

Summary of Results:

  • \( \frac{9}{21} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{12}{15} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{1.5}{3.5} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{21}{49} \) - Non-proportional (Not Equivalent) to 37
  • \( \frac{30}{700} \) - Non-proportional (Not Equivalent) to 37

I can confirm that all the ratios you've provided are, indeed, non-proportional (not equivalent) to 37. If there is a specific aspect you'd like me to revisit or clarify further, please let me know!