what Display the equivalent part-to-part ratios in this two-column table.(1 point) 3 5 25 21 30 50

5 answers

To display the equivalent part-to-part ratios based on the numbers you provided (3, 5, 25, 21, 30, 50), we can simply pair the numbers as needed.

For the given numbers, we consider each of them as part of a ratio. Here's a two-column table representing part-to-part ratios:

| Part 1 | Part 2 | Ratio | |--------|--------|--------| | 3 | 5 | 3:5 | | 25 | 21 | 25:21 | | 30 | 50 | 30:50 |

If you would like to express these ratios in simplest form, we can do that too:

  • For 30:50, the ratio can be simplified to 3:5 (by dividing both parts by 10).

So, the adjusted table would be:

| Part 1 | Part 2 | Simplified Ratio | |--------|--------|------------------| | 3 | 5 | 3:5 | | 25 | 21 | 25:21 | | 30 | 50 | 3:5 |

If you have any additional requirements or specifics in mind for the ratios or their interpretation, please let me know!

I have 2:1 7:14 20:10 now what do I do to blank:9

To find the value that pairs with 9 in the ratio "blank:9," we need to determine a common ratio based on the provided ratios (2:1, 7:14, and 20:10).

  1. Simplifying the Given Ratios:

    • 2:1 is already in simplest form.
    • 7:14 simplifies to 1:2 (by dividing both parts by 7).
    • 20:10 simplifies to 2:1 (by dividing both parts by 10).

    It seems that the effective ratios after simplification are 2:1 and 1:2.

  2. Finding Equivalence with 9:
    We notice that both effective ratios can be expressed using the ratio format. To express "blank:9," we need to maintain the same ratio notions.

    Let's use the ratio "2:1" first. If we set this up as: \[ \text{blank} : 9 = 2 : 1 \]

    We can find "blank" by cross-multiplying: \[ 2 \cdot 9 = \text{blank} \cdot 1 \implies \text{blank} = 2 \cdot 9 = 18 \]

    Now let's check the second effective ratio, "1:2":

    Set it up as: \[ \text{blank} : 9 = 1 : 2 \] Cross-multiplying gives: \[ 1 \cdot 9 = \text{blank} \cdot 2 \implies \text{blank} = \frac{9}{2} = 4.5 \]

  3. Final Result:
    So, "blank" can be either 18 (from the 2:1 ratio) or 4.5 (from the 1:2 ratio).

You may choose which ratio you prefer based on the context you have. If you are looking for a value to maintain a ratio of "2:1," then "blank" would be 18. If you need a "1:2" ratio sensation, then "blank" would be 4.5.

So blank:9

To find the value of "blank" in the ratio "blank:9," based on the previously mentioned ratios, we can derive it through the equivalencies you provided.

Given the ratio format "blank:9," you want to express it based on the two potential effective ratios derived from your original set (2:1 and 1:2). Let’s derive "blank" for both scenarios:

  1. Using the Ratio 2:1:
    In this case, the "blank" component can be calculated based on a proportion where 2 relates to 1:

    \[ \frac{\text{blank}}{9} = \frac{2}{1} \]

    Cross-multiplying gives:

    \[ \text{blank} \cdot 1 = 2 \cdot 9 \implies \text{blank} = 18 \]

  2. Using the Ratio 1:2:
    Here, you can relate it based on where 1 corresponds to 2. Thus:

    \[ \frac{\text{blank}}{9} = \frac{1}{2} \]

    Cross-multiplying gives:

    \[ \text{blank} \cdot 2 = 1 \cdot 9 \implies \text{blank} = \frac{9}{2} = 4.5 \]

Conclusion:

Therefore, depending on which ratio you want to follow:

  • If following the ratio 2:1, then blank = 18.
  • If following the ratio 1:2, then blank = 4.5.

Your ratio "blank:9" can either be expressed as:

  • 18:9 if you're using the 2:1 comparison.
  • 4.5:9 if you're using the 1:2 comparison.

Choose the one that fits your context!

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