https://file.aiquickdraw.com/mathbot/file/17263605157974uosvvy3.jpg

It looks like you uploaded a photo of a math problem. Based on the image, I see two problems.

**Problem 14:**
"An automobile dealership received six cars that needed to be detailed. If the service staff took \( \frac{3}{4} \) hours to detail the automobiles, how long (in hours) did each car take?"

We can solve this by dividing the total time \( \frac{3}{4} \) hours by 6, the number of cars:
\[
\text{Time per car} = \frac{\frac{3}{4}}{6} = \frac{3}{4} \times \frac{1}{6} = \frac{3}{24} = \frac{1}{8} \, \text{hours per car}.
\]
So, it takes \( \frac{1}{8} \) hours to detail each car.

**Problem 15:**
"How many lengths of wire, each \( 6 \frac{1}{4} \) inches long, can be cut from 25.75 feet? (Enter a whole number of wires)."
Convert 25.75 feet to inches: \( 25.75 \times 12 = 309 \) inches.

Now, divide the total length of wire by the length of each piece:
\[
\frac{309}{6 \frac{1}{4}} = \frac{309}{\frac{25}{4}} = 309 \times \frac{4}{25} = 49.44.
\]
Since we need a whole number, you can cut 49 pieces of wire.

Let me know if you'd like more details or if you have any questions.

### Here are 5 related questions to further practice:
1. How would the time per car change if only 5 cars were detailed in the same amount of time?
2. If the service staff worked for 2 hours instead of \( \frac{3}{4} \) hours, how much time would each car take?
3. How many pieces of wire can be cut from a 30-foot wire if each piece is \( 5 \frac{1}{2} \) inches long?
4. What would happen if the lengths of wire were \( 7 \frac{1}{4} \) inches long?
5. If you had a 40-foot wire, how many \( 6 \frac{1}{4} \)-inch pieces could be cut from it?

### Tip:
Always convert all units to the same system (e.g., hours to hours, feet to inches) before solving to avoid confusion!

An automobile dealership received six cars that needed to be detailed. If the service staff took 3/4 hours to detail the automobiles, how long (in hours) did each car take? Additionally, how many lengths of wire, each 6 1/4 inches long, can be cut from 25.75 feet?

Solve a detailed problem involving an automobile dealership where 6 cars are detailed in 3/4 hours. Learn how to calculate the time per car and determine how many 6 1/4-inch wires can be cut from 25.75 feet of wire. This problem involves concepts of division, fraction conversion, and unit conversion.

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