Let's address each question one by one.
Question 1
To find the unit rate of miles per gallon for the vehicles, you'll typically divide the miles traveled by the gallons used. However, the specific mileage per gallon for each vehicle isn't provided in your question, so I can't calculate those values for you. If you have that information, you can calculate it using:
\[ \text{Miles per Gallon} = \frac{\text{Miles traveled}}{\text{Gallons used}} \]
If you provide the total miles and gallons used for each vehicle, I can help with the calculations.
Question 2
To find if the vehicles are safely obeying the 55 mph speed limit, we calculate their speed using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
-
Sports Car: \[ \text{Speed} = \frac{216 \text{ miles}}{4 \text{ hours}} = 54 \text{ mph} \] (obeying)
-
Limousine: \[ \text{Speed} = \frac{318 \text{ miles}}{6 \text{ hours}} = 53 \text{ mph} \] (obeying)
-
Ambulance: \[ \text{Speed} = \frac{150 \text{ miles}}{2 \text{ hours}} = 75 \text{ mph} \] (not obeying)
-
Train: \[ \text{Speed} = \frac{182 \text{ miles}}{2 \text{ hours}} = 91 \text{ mph} \] (not obeying)
-
School Bus: \[ \text{Speed} = \frac{162 \text{ miles}}{3 \text{ hours}} = 54 \text{ mph} \] (obeying)
*Selected Vehicles:
- Sports Car
- Limousine
- School Bus
Question 3
If Ivan can paint 25 square feet every half hour, then in 3 hours (which is 6 half-hour intervals), he can paint:
\[ 25 \text{ square feet} \times 6 = 150 \text{ square feet} \]
Therefore, the answer is:
- 150 square feet
Question 4
To check from which stores Nani could purchase her pineapple (8 cups for $4), we need to calculate the total cost at each store. Nani can spend up to $4, meaning each cup must cost $0.50 or less since:
\[ 4 \text{ dollars} \div 8 \text{ cups} = 0.50 \text{ dollars per cup} \]
Without the specific unit prices provided in your question, I can't determine which stores could be selected. If you have that information, I can assist further.
Question 5
To find an equivalent price, we need to calculate the price per cup from the advertisement and compare it with the other options.
The cost per cup of granola is:
\[ 6.75 \text{ dollars} \div 15 \text{ cups} = 0.45 \text{ dollars per cup} \]
Now let's check each scenario:
-
25 cups for $11.75: \[ 11.75 \div 25 = 0.47 \text{ dollars per cup} \] (not equivalent)
-
10 cups for $4.05: \[ 4.05 \div 10 = 0.405 \text{ dollars per cup} \] (equivalent)
-
5 cups for $2.45: \[ 2.45 \div 5 = 0.49 \text{ dollars per cup} \] (not equivalent)
-
8 cups for $3.60: \[ 3.60 \div 8 = 0.45 \text{ dollars per cup} \] (equivalent)
*Selected Equivalent Prices:
- 10 cups for $4.05
- 8 cups for $3.60
Let me know if you need further assistance or clarifications!