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.
To determine which object would reach 100 feet in the least amount of time, we need to compare the slopes of the lines that represent the objects.
The slope of a line represents the rate at which the y-value (distance in this case) changes with respect to the x-value (time).
Looking at the slopes:
The line A has a slope of (6-0)/(3-0) = 6/3 = 2.
The line B has a slope of (6-0)/(6-0) = 6/6 = 1.
The line C has a slope of (3-0)/(6-0) = 3/6 = 1/2.
A smaller slope indicates a steeper or faster increase in distance over time. Therefore, the object with the smallest slope will reach 100 feet in the least amount of time.
Among the given options, the line with the smallest slope is Line B, as the slope is 1. This means that object B would reach 100 feet in the least amount of time.
Therefore, the correct response is: object B.
To determine which city is warmer and the difference in their temperatures after 5 hours, we need to calculate the temperature change in each city and compare the final temperatures.
In City A, the temperature is changing by -5°F per hour. Starting from 70°F, the temperature after 5 hours will be:
70°F + (-5°F/hour * 5 hours) = 70°F + (-25°F) = 45°F.
In City B, the temperature is changing by -3°F per hour. Starting from 70°F, the temperature after 5 hours will be:
70°F + (-3°F/hour * 5 hours) = 70°F + (-15°F) = 55°F.
Comparing the final temperatures, we can see that City A has a temperature of 45°F, while City B has a temperature of 55°F.
Therefore, City B is warmer than City A by 10°F.
The correct response is: City B is warmer by 10°F.
Yes, that is the correct answer. City B is warmer by 10°F.
ok thank you bot you were a big help
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
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 23 units of the area in 12 hours, we can find her rate by dividing the completed area by the time taken: 23 units / 12 hours = 1.92 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 100 units.
Time = 100 units / 1.92 units per hour = 52.08 hours.
Therefore, it will take Charla approximately 52.08 hours to complete the entire picture.
To identify the table that demonstrates a proportional relationship, we need to check if the ratios between the values of x and y are consistent.
If we calculate the ratios for each row, we can determine if they are equivalent.
Table 1:
x/y = 10/2 = 5/1 ≠ 15/3 ≠ 40/8
Table 2:
x/y = 4/2 = 2/1 = 9/3 = 16/4
Table 3:
x/y = 8/2 = 4/1 ≠ 12/3 ≠ 40/4
Table 4:
x/y = 2/10 = 1/5 ≠ 2/6 ≠ 30/6
From the given tables, only Table 2 demonstrates a proportional relationship. The ratios between x and y remain consistent and equivalent.
Therefore, the correct response is: Table 2.
Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, showing your work. Then write a sentence to compare the proportional relationships
To find the constant of proportionality, we can divide the number of pages by the number of minutes for each person.
For Jimmy, the constant of proportionality is:
15 pages / 5 minutes = 3 pages per minute.
For Carlo, the constant of proportionality is:
12 pages / 6 minutes = 2 pages per minute.
To compare the proportional relationships, we can say that Jimmy reads at a faster rate than Carlo. For every minute, Jimmy reads 3 pages while Carlo reads 2 pages.
barely any of these are right lol i have a D now, not sure about the jimmy one bc i already knew how to do that so i did it myself
:(
number 10 is 32 and number 4 is 21, the rest "the person here to save your grades" is right.
THANK YOU SOOOOOOOOOO MUCH!!!!!!!! I was about to hit the done button when I saw your comments! Thanks for saving my grade!!!!!!
What is 7/8÷3/4
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 23 of the area in 12 hour, how long will it take her to complete the entire picture
Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hour, how long will it take her to complete the entire picture
Use the table to answer the question.Raspberry Lemonade1 2.52 54 106 15Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
Use the table to answer the question.# of Trees # of Apples2 263 396 7810 13012 156Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.(1 point)ResponsesNo, the ratios are not equivalent.No, the ratios are not equivalent.Yes, the data table has a proportional relationship.Yes, the data table has a proportional relationship.No, the ratio 6:78 is not proportional to the other ratios.No, the ratio ratio of 6 to 78 is not proportional to the other ratios.No, the table does not count consecutively.
Use the image to answer the question.A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 4 comma 9 right parenthesis, left parenthesis 5 comma 0 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.Find the slope of the line given its graph.(1 point)Responses−9negative 9−19negative Start Fraction 1 over 9 End Fraction−412negative 4 Start Fraction 1 over 2 End Fraction9
Identify the table that demonstrates a proportional relationship.(1 point)Responsesx y10 215 340 8x y 10 2 15 3 40 8x y4 29 316 4x y 4 2 9 3 16 4x y8 212 340 4x y 8 2 12 3 40 4x y2 105 206 30
If a graph is proportional, what characteristic does it display?(1 point)
Responses
It will climb rapidly, indicating a steep slope.
It will climb rapidly, indicating a steep slope.
It will have y-values larger than their corresponding x-values.
It will have y -values larger than their corresponding x -values.
It will curve.
It will curve.
It will pass through the point (0, 0).
If Chase runs 5 miles in 60 minutes, how far will he run in 3 hours if he continues to run at the same rate?(1 point)
Responses
14 miles
Start Fraction 1 over 4 End Fraction miles
15 miles
15 miles
36 miles
36 miles
0.067 miles
A whale swims 200 miles in 5 days. Identify which equation could be used to find how many miles it swims in 16 days.(1 point)
Responses
y=200×16×5
y equals 200 times 16 times 5
y=40×16
y equals 40 times 16
200=16x
200 equals 16 x
y=200×16
To find how many miles the whale swims in 16 days, we can use the equation:
y = mx,
where y represents the number of miles the whale swims and x represents the number of days.
From the given options, the correct equation would be:
y = 200 x 16.
Therefore, the correct response is: y = 200 x 16.
Unit Rates & Proportions Unit Test
12 of 1512 of 15 Items
Question
Use the tables to answer the question.
Sonia
Number of Problems Minutes of Writing
6 120
18 360
25 500
60 1,200
Maryna
Number of Problems Minutes of Writing
8 200
15 375
20 500
50 1,250
Based on the tables showing the number of minutes two writers spent writing math problems for two different lessons, who spent more time writing per problem? Write the answer in unit rate form.
(1 point)
Responses
Maryna spent less time writing per problem at the unit rate of 1 min.25 problems
.
Maryna spent less time writing per problem at the unit rate of 1 min.25 problems
.
Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem
.
Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem
.
Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem
.
Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem
.
Maryna spent more time writing per problem at the the unite rate of 25min.1 problem
.
Use the image to answer the question.An illustration shows quadrant one of a coordinate plane where the x-axis and y-axis range from 0 to 6 in increments of 1. The y-axis is titled distance in feet and the x-axis is titled time in seconds. A solid line, labeled A, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 3 comma 6 right parenthesis. A dotted line, labeled B, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis. A dashed line, labeled C, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 3 right parenthesis.Which of these objects would reach 100 feet in the least amount of time?(1 point)ResponsesThey would all reach 100 feet at the same time.They would all reach 100 feet at the same time.object Bobject Bobject Cobject Cobject A
he temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F per hour, and in City B the temperature is changing by −3°F per hour. If the temperatures in both cities started at 70°F, which city is warmer, and what is the difference in their temperatures after 5 hours?(1 point)ResponsesCity B is warmer by 10°F.City B is warmer by 10 degrees F .City A is warmer by 2°F.City A is warmer by 2 degrees F .City A is warmer by 10°F.City A is warmer by 10 degrees F .City B is warmer by 2°F.
is that right bot
if this isnt right im grass
dont use these answers
what are the answers?
I use the bots answers and got a 67.....
HELLPPPPPPP PLZZ!
Hi laxitoser have you gotten the answers..
Ya think???
Yes?
OFC NOT
oh ill just wait till someone says the answer hopefully
I do got the answer but i got 67
can you give me them im desperate?
Nahh dont feel like it
Plzz someone
if someone puts the answers in plz put it in word from what i mean by that is like 1.22 miles
or something like that
hopefully someone can
u sure?
this boi is correct
GET THIS MAN A COOKIE OF INTELLIGENCE OVER THE BOT
the person here to is correct! just check your answers and don't just click sometimes they change the test. and on search answers, if this is your first time opening the test, if you opened the test more than once it will switch your answers around.
TYSM!!!!!