Lars purchases a new SUV. The car has a 15-gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?(1 point)
num 1: 3/26
num2: 22 gallons
num 3: 7/6
num 4: 3/4
num 5: 1, 2.5
num 6: yes
num 7: -9
num 8: x10 y2
num9: it will pass through the point (0,0)
num 10: 15 miles
num 11: y=40x16
num 12: maryna spent more time
num 13: object A
num 14: city B is warmer by 10F
num 15: Jimmy reads 3 pages in 1 minute. Carlo reads 2 pages in 1 minute. The constant of proportionality for Jimmy is 3 and for Carlo is 2. This means that Jimmy reads 1 more page than Carlo for every minute they read.
To find the unit rate of miles per gallon, we divide the total miles by the total gallons.
Lars can drive 330 miles on a full tank of gas, which contains 15 gallons.
Therefore, the unit rate of miles per gallon is 330 miles / 15 gallons, or 22 miles per gallon.
If a graph is proportional, it will pass through the point (0, 0).
Therefore, the correct response is: It will pass through the point (0, 0).
To determine who spent more time writing per problem, we need to find the unit rate of minutes per problem for each writer.
For Sonia:
Unit rate = Minutes of Writing / Number of Problems
For example, for the first row: Unit rate = 120 minutes / 6 problems = 20 minutes per problem.
For Maryna:
Unit rate = Minutes of Writing / Number of Problems
For example, for the first row: Unit rate = 200 minutes / 8 problems = 25 minutes per problem.
Comparing the unit rates, we find that Maryna spent more time writing per problem at a unit rate of 25 minutes per problem.
Therefore, the correct response is: Maryna spent more time writing per problem at the unit rate of 25 min. 1 problem.
To find the time it will take Charla to complete the entire picture, we need to determine the rate at which she completes the area of the picture.
If Charla completes 2/3 of the area in 1/2 hour, we can find her rate by dividing the completed area by the time taken: (2/3) / (1/2) = (2/3) * (2/1) = 4/3 units per hour.
To find out how long it will take her to complete the entire picture, we divide the total area by her rate: area / rate = time.
Let's assume the total area is 1 unit.
Time = 1 unit / (4/3 units per hour) = 1 unit * (3/4 units per hour) = 3/4 hour.
Therefore, it will take Charla 3/4 hour, or 45 minutes, to complete the entire picture.
To find the constant of proportionality, we need to identify the ratio in the table that remains the same. This means we are looking for a ratio that is constant or consistent throughout.
From the given table, we can see that the ratio between the number of scoops of raspberry to the cups of lemonade is consistently 2:5.
Therefore, the constant of proportionality appears at a ratio of 2:5.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the numbers are equivalent.
If we calculate the ratios for each row, we get:
2/26 = 1/13 (not equal to 2/3)
3/39 = 1/13 (not equal to 2/3)
6/78 = 1/13 (not equal to 2/3)
10/130 = 1/13 (not equal to 2/3)
12/156 = 1/13 (not equal to 2/3)
Since the ratios of the quantities are not equivalent, the data table does not represent a proportional relationship.
Therefore, the correct response is: No, the ratios are not equivalent.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/4 is 4/3.
So, 7/8 ÷ 3/4 can be rewritten as 7/8 * 4/3.
Multiplying the numerators, we get 7 * 4 = 28.
Multiplying the denominators, we get 8 * 3 = 24.
Therefore, 7/8 ÷ 3/4 simplifies to 28/24.
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
28 ÷ 4 = 7
24 ÷ 4 = 6
Thus, 7/8 ÷ 3/4 simplifies to 7/6.
To find the slope of a line, we can use the formula:
slope = (change in y) / (change in x)
Using the coordinates given, we can calculate the change in y and change in x.
Change in y = 0 - 9 = -9
Change in x = 5 - 4 = 1
Now we can substitute these values into the formula:
slope = (-9) / (1) = -9/1 = -9
Therefore, the slope of the line is -9.
To find how far Chase will run in 3 hours, we need to determine his rate of running and multiply it by the time.
Chase runs 5 miles in 60 minutes, which can be expressed as a rate of 5 miles/60 minutes.
To find the distance he will run in 3 hours (180 minutes), we multiply the rate by the time:
Distance = Rate * Time
Distance = (5 miles / 60 minutes) * 180 minutes
Distance = 9000/60 miles = 150 miles.
Therefore, Chase will run 15 miles in 3 hours if he continues to run at the same rate.