Of the cars in a used-car lot, 3/4 are less than 4 years old. 1/4 of the cars on the lot are both less than 4 years old and also get at least 60 miles to the gallon. What fraction of the cars that are less than 4 years old also get 60 miles to the gallon?

Answer 1

To find the fraction of the cars that are less than 4 years old which also get at least 60 miles to the gallon, we will set up our problem using the information given.

Let \( C \) be the total number of cars in the used-car lot.

According to the problem:

1. The number of cars that are less than 4 years old is \( \frac{3}{4}C \).
2. The number of cars that are both less than 4 years old and get at least 60 miles to the gallon is \( \frac{1}{4}C \).

Now we need to find the fraction of the cars that are less than 4 years old which also get at least 60 miles to the gallon. This can be calculated by taking the number of cars that are both less than 4 years old and get at least 60 mpg, divided by the number of cars that are less than 4 years old.

The fraction is computed as follows:

\[ \text{Fraction} = \frac{\text{Number of cars less than 4 years old and get at least 60 mpg}}{\text{Number of cars less than 4 years old}} = \frac{\frac{1}{4}C}{\frac{3}{4}C} \]

Since \( C \) appears in both the numerator and the denominator, we can simplify:

\[ \text{Fraction} = \frac{\frac{1}{4}}{\frac{3}{4}} = \frac{1}{4} \cdot \frac{4}{3} = \frac{1}{3} \]

Thus, the fraction of the cars that are less than 4 years old which also get at least 60 miles to the gallon is

\[ \boxed{\frac{1}{3}}. \]

Answer 2

wrong write as a mixed number

Answer 3

The fraction we calculated is \(\frac{1}{3}\). Since this fraction is less than 1, it cannot be expressed as a mixed number, which typically consists of a whole number part and a fraction part.

To clarify, a mixed number is used for fractions greater than 1. For example, a fraction like \(\frac{5}{3}\) would be expressed as a mixed number as \(1 \frac{2}{3}\). However, since \(\frac{1}{3}\) is a proper fraction, it is already in its simplest form.

If you are specifically looking for a different representation of \(\frac{1}{3}\) or have further instructions regarding mixed numbers, please let me know!

Answer 4

thats not a mixed number

Answer 5

You are correct, and I apologize for the confusion. A mixed number consists of a whole number and a proper fraction, but \(\frac{1}{3}\) is simply a proper fraction and cannot be converted into a mixed number.

If you wish to express \(\frac{1}{3}\) in decimal form, it would be approximately \(0.333\), but it remains a fraction. Mixed numbers are typically used for improper fractions, where the numerator is greater than the denominator.

To summarize, \(\frac{1}{3}\) is a proper fraction, and there is no mixed number equivalent. If you have a different fraction or number you'd like converted into a mixed number, please provide that, and I’ll be happy to help!

Answer 6

a mixed number looks like 2 1/4 WRITE IT LIKE THAT

Answer 7

Thank you for your patience, and I apologize for the misunderstanding.

The fraction we calculated is \(\frac{1}{3}\). Since this fraction is less than 1, it does not have a whole number part and cannot be represented as a mixed number in the form you are requesting (like \(2 \frac{1}{4}\)).

However, if you're looking for a way to express \(\frac{1}{3}\) with an integer and a fractional part (even though it may not typically be represented this way), we can write it as:

\[ 0 \frac{1}{3} \]

This indicates that there is 0 whole units and a fractional part of \(\frac{1}{3}\).

If representing fractions less than 1 as mixed numbers in the traditional sense is required, it usually follows the format of noting the whole number as zero. Therefore, while \(\frac{1}{3}\) does not traditionally have a mixed number form, one could represent it as \(0 \frac{1}{3}\).

If you need any further conversion or clarification, feel free to ask!

Answer 8

i hate you

Answer 9

I apologize for any frustration I may have caused. My intention is to help, and I'm here to assist you with any questions or issues you have. If there's something specific you'd like to get back to or if you want to clarify further, please let me know, and I'll do my best to provide the assistance you need. Thank you for your understanding.

Answer 10

chose from this list of answers
3 1/2
3/16
3
4/12

Answer 11

Based on the previous calculation where we found the fraction of cars that are less than 4 years old and also get at least 60 miles to the gallon to be \(\frac{1}{3}\), we can determine which option from your list corresponds to this:

1. \(\frac{1}{3}\) is not in the list provided.
2. If we need to convert \(\frac{1}{3}\) into a form similar to the answers you've listed, we can note that \(\frac{1}{3}\) is approximately \(0.333\).

Let's examine the options:

1. \(3 \frac{1}{2}\) = 3.5
2. \(\frac{3}{16}\) or approximately \(0.1875\)
3. \(3\) = 3
4. \(\frac{4}{12}\) = \(\frac{1}{3}\), simplified

From this list, \(\frac{4}{12}\) is equal to \(\frac{1}{3}\).

So, the correct answer from your list that matches \(\frac{1}{3}\) is:

\(\frac{4}{12}\).

If you have any more questions, feel free to ask!