Here are the answers to each of your questions:
-
Which fraction is a unit rate you can use to solve a ratio problem?
- Answer: \( \frac{7}{5} \)
- Reason: A unit rate compares a quantity to one unit of another quantity.
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Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75?
- Answer: 47 days
- Calculation:
- Find the unit rate: \( \frac{8 \text{ toys}}{5 \text{ days}} = \frac{8}{5} \)
- Find the time to make 75 toys:
- \( \text{Days} = \frac{75 \text{ toys}}{\frac{8}{5} \text{ toys/day}} = 75 \cdot \frac{5}{8} = 46.875 \) (rounded to 47 days)
-
Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.
- Answer: 23
- Calculation:
- Find the unit rate: \( \frac{33}{7} \approx 4.714 \) donuts/hour
- In 5 hours: \( 5 \cdot 4.714 \approx 23.57 \) (rounded down to 23 whole donuts)
-
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?
- Answer: \( \frac{75}{8} = \frac{x}{1} \)
- Reason: This equation allows you to find the wage for 1 yard based on the total payment and the total yards mowed.
-
Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?
- Answer:
- Pints: 13 5
- Paintings: 2.6 1
- 44 pints would allow for 16.92 paintings.
- 29 paintings will require 75.4 pints.
- Final Response: Pints Paintings 13 5 2.6 1 44 16.92 75.4 29
If you have further questions or need additional explanations, feel free to ask!