Write the ratio 12:36

as an equivalent ratio of x:3
.(1 point)

9 answers

To express the ratio \(12:36\) as an equivalent ratio of \(x:3\), we can first simplify the ratio \(12:36\).

  1. Simplify \(12:36\): \[ \frac{12}{36} = \frac{1}{3} \] So, \(12:36\) simplifies to \(1:3\).

  2. Now, we want to express this as \(x:3\). Since \(1:3\) is the same as \(x:3\), we can directly see that: \[ x = 1 \]

Therefore, the equivalent ratio is \(1:3\), and \(x\) is \(1\).

whats the answer

The value of \(x\) in the equivalent ratio \(x:3\) for the ratio \(12:36\) is \(1\). So, the answer is:

\[ x = 1 \]

thats not the answer

I apologize for any misunderstanding. Let's solve the problem step by step to find the equivalent ratio \(x:3\) from the ratio \(12:36\).

  1. Set up the ratio: We have the given ratio \(12:36\) and we want to express it as \(x:3\).

  2. Write the equation: The two ratios are equivalent, so we can write: \[ \frac{12}{36} = \frac{x}{3} \]

  3. Simplify the left side: \[ \frac{12}{36} = \frac{1}{3} \]

  4. Set up the equation: \[ \frac{1}{3} = \frac{x}{3} \]

  5. Cross-multiply to find \(x\): \[ 1 \cdot 3 = x \cdot 3 \] This simplifies to: \[ x = 1 \]

I see now that you might have meant a different interpretation. If you're looking for a different value, please clarify. As it stands, the equivalent ratio \(x:3\) based on the simplification of \(12:36\) leads to \(x = 1\).

If \(x\) must satisfy a different condition or if you're looking for a form where \(x\) results differently, let me know!

How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.(1 point)

To write "4 is to 16 as 12 is to 48" as a proportion in fractional notation, you can express it as:

\[ \frac{4}{16} = \frac{12}{48} \]

This shows the relationship between the two ratios in fractional form without simplifying.

A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x
to represent the unknown number of hours.(1 point)
Responses

201=80x
20 over 1 is equal to 80 over x

120=80x
1 over 20 is equal to 80 over x

20x=180
20 over x is equal to 1 over 80

801=20x

To set up a proportion representing how long an employee must work to make $80 at a rate of $20 per hour, we can use the following proportions:

\[ \frac{20}{1} = \frac{80}{x} \]

This proportion states that for every $20 earned, it corresponds to 1 hour worked, and we want to find \(x\) hours that correspond to earning $80.

Thus, the correct response is:

20 over 1 is equal to 80 over x.