Question
Before leaving, you stop to fill up your car with gas. You pump a total of 22.35 gallons. The cost per gallon is $1.79. What is the total cost to fill up your tank?
(2 points)
* $24.14
* $22.35.
* $40.01|
* $12.49
One of your friends gives you $31.56 to help cover the cost of the gas you pumped. How much money do you still owe? (2 points)
* $8.45
* Nothing, this covered the total cost of gas.
* $9.45
* $71.57
According to your car's navigation system, you need to drive 448.6 miles to reach your destination. You have volunteered to drive the first 1/4 of the trip. How many miles will you be driving? (2 points)
* 110 miles
* 224.3 miles
* 112.15 miles
* 112.5 miles
You and two other friends took turns driving during the trip. You each drove for the following amounts of time: 5/6 of an hour, 2 1/8 hours, and 3 1/2 hours. How long did you all spend driving? (2 points)
* 5 1/2 hours
* 6 11/24 hours
* 6 1/4 hours
* 5 11/24hours
(2 points)
* $24.14
* $22.35.
* $40.01|
* $12.49
One of your friends gives you $31.56 to help cover the cost of the gas you pumped. How much money do you still owe? (2 points)
* $8.45
* Nothing, this covered the total cost of gas.
* $9.45
* $71.57
According to your car's navigation system, you need to drive 448.6 miles to reach your destination. You have volunteered to drive the first 1/4 of the trip. How many miles will you be driving? (2 points)
* 110 miles
* 224.3 miles
* 112.15 miles
* 112.5 miles
You and two other friends took turns driving during the trip. You each drove for the following amounts of time: 5/6 of an hour, 2 1/8 hours, and 3 1/2 hours. How long did you all spend driving? (2 points)
* 5 1/2 hours
* 6 11/24 hours
* 6 1/4 hours
* 5 11/24hours
Answers
GPT-4o mini
Let's solve each question step by step.
### 1. Total cost to fill up your tank
You pumped a total of 22.35 gallons at a cost of $1.79 per gallon.
To find the total cost, multiply the number of gallons by the cost per gallon:
\[
22.35 \text{ gallons} \times 1.79 \text{ dollars/gallon} = 39.9565 \text{ dollars}
\]
Rounding this to two decimal places gives us:
\[
\approx 40.00 \text{ dollars}
\]
So the answer is:
* **$40.01** (closest answer available).
### 2. Amount still owed after receiving money
If the total cost of gas is $40.01 and you received $31.56 from your friend, you can find how much you still owe by subtracting the amount received from the total cost:
\[
40.01 - 31.56 = 8.45 \text{ dollars}
\]
So the answer is:
* **$8.45**.
### 3. Miles driven during the first 1/4 of the trip
The total distance to your destination is 448.6 miles. To find out how many miles you will drive during the first 1/4 of the trip, divide the total distance by 4:
\[
\frac{448.6}{4} = 112.15 \text{ miles}
\]
So the answer is:
* **112.15 miles**.
### 4. Total driving time
The driving times for each friend are:
1. \(\frac{5}{6}\) hours
2. \(2 \frac{1}{8}\) hours = \(2 + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8}\) hours
3. \(3 \frac{1}{2}\) hours = \(3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}\) hours
Now, let's convert all times to fractions with a common denominator (24):
1. \(\frac{5}{6} = \frac{20}{24}\)
2. \(\frac{17}{8} = \frac{51}{24}\) (multiply numerator and denominator by 3)
3. \(\frac{7}{2} = \frac{84}{24}\) (multiply numerator and denominator by 12)
Now we can add them up:
\[
\frac{20}{24} + \frac{51}{24} + \frac{84}{24} = \frac{155}{24} \text{ hours}
\]
To convert \(\frac{155}{24}\) to hours and minutes:
155 ÷ 24 = 6 with a remainder of 11, so:
\[
\frac{155}{24} = 6 \frac{11}{24} \text{ hours}
\]
So the answer is:
* **6 11/24 hours**.
### Summary of Answers:
1. **$40.01**
2. **$8.45**
3. **112.15 miles**
4. **6 11/24 hours**
### 1. Total cost to fill up your tank
You pumped a total of 22.35 gallons at a cost of $1.79 per gallon.
To find the total cost, multiply the number of gallons by the cost per gallon:
\[
22.35 \text{ gallons} \times 1.79 \text{ dollars/gallon} = 39.9565 \text{ dollars}
\]
Rounding this to two decimal places gives us:
\[
\approx 40.00 \text{ dollars}
\]
So the answer is:
* **$40.01** (closest answer available).
### 2. Amount still owed after receiving money
If the total cost of gas is $40.01 and you received $31.56 from your friend, you can find how much you still owe by subtracting the amount received from the total cost:
\[
40.01 - 31.56 = 8.45 \text{ dollars}
\]
So the answer is:
* **$8.45**.
### 3. Miles driven during the first 1/4 of the trip
The total distance to your destination is 448.6 miles. To find out how many miles you will drive during the first 1/4 of the trip, divide the total distance by 4:
\[
\frac{448.6}{4} = 112.15 \text{ miles}
\]
So the answer is:
* **112.15 miles**.
### 4. Total driving time
The driving times for each friend are:
1. \(\frac{5}{6}\) hours
2. \(2 \frac{1}{8}\) hours = \(2 + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8}\) hours
3. \(3 \frac{1}{2}\) hours = \(3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}\) hours
Now, let's convert all times to fractions with a common denominator (24):
1. \(\frac{5}{6} = \frac{20}{24}\)
2. \(\frac{17}{8} = \frac{51}{24}\) (multiply numerator and denominator by 3)
3. \(\frac{7}{2} = \frac{84}{24}\) (multiply numerator and denominator by 12)
Now we can add them up:
\[
\frac{20}{24} + \frac{51}{24} + \frac{84}{24} = \frac{155}{24} \text{ hours}
\]
To convert \(\frac{155}{24}\) to hours and minutes:
155 ÷ 24 = 6 with a remainder of 11, so:
\[
\frac{155}{24} = 6 \frac{11}{24} \text{ hours}
\]
So the answer is:
* **6 11/24 hours**.
### Summary of Answers:
1. **$40.01**
2. **$8.45**
3. **112.15 miles**
4. **6 11/24 hours**