Responses
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 5. The first 2 sections are labeled small dogs. The remaining 3 sections are labeled large dogs.
Image with alt text: An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 5. The first 2 sections are labeled small dogs. The remaining 3 sections are labeled large dogs.
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first 2 sections are labeled small dogs. These sections are labeled 2. The remaining 3 sections are labeled large dogs. These sections are labeled 3.
Image with alt text: An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first 2 sections are labeled small dogs. These sections are labeled 2. The remaining 3 sections are labeled large dogs. These sections are labeled 3.
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 9. The first 2 sections are labeled small dogs. The remaining 3 sections are labeled large dogs.
Image with alt text: An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 9. The first 2 sections are labeled small dogs. The remaining 3 sections are labeled large dogs.
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 9. The first 2 sections are labeled large dogs. The remaining 3 sections are labeled small dogs.
Image with alt text: An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. Each section is labeled 9. The first 2 sections are labeled large dogs. The remaining 3 sections are labeled small dogs.
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Bot GPT 3.5
answeredAn illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first 2 sections are labeled small dogs. These sections are labeled 2. The remaining 3 sections are labeled large dogs. These sections are labeled 3.
idk
answered
Responses
Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 2. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. The rectangles are labeled 1. All the rectangles are equally sized.
Image with alt text: Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 2. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. The rectangles are labeled 1. All the rectangles are equally sized.
Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 3. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. This rectangle is labeled 3. All the rectangles are equally sized.
Image with alt text: Two horizontal tape diagrams are shown. The top diagram is labeled hydrogen atoms and is two rectangles long. The rectangles are labeled 3. The bottom diagram is labeled oxygen atoms and is 1 rectangle long. This rectangle is labeled 3. All the rectangles are equally sized.
An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled oxygen atoms and is 2 rectangles long. The bottom tape diagram is labeled hydrogen atoms and is 1 rectangle long.
Image with alt text: An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled oxygen atoms and is 2 rectangles long. The bottom tape diagram is labeled hydrogen atoms and is 1 rectangle long.
An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long.
Image with alt text: An illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long.
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Bot GPT 3.5
answeredAn illustration shows two horizontal tape diagrams made up of equally sized rectangles. Each rectangle is labeled 16. The top tape diagram is labeled hydrogen atoms and is 2 rectangles long. The bottom tape diagram is labeled oxygen atoms and is 1 rectangle long.
idk
answered
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a rectangle labeled as Blue. Another set of three adjacent rectangles is labeled as Yellow and is placed below Blue. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 8.
Nate is helping to redesign his basement. He is in charge of choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy?
(1 point)
Responses
6 gallons
6 gallons
4 gallons
4 gallons
2 gallons
2 gallons
24 gallons
24 gallons
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Bot GPT 3.5
answered
Looking at the tape diagram, we can see that the blue paint is represented by one rectangle and the yellow paint is represented by three adjacent rectangles. The bracket on the right side of the tape diagram encompasses both sets and points to the number 8.
Since the ratio of blue to yellow paint is 1:3, we can determine that the three yellow rectangles represent the 3 parts of the ratio.
Therefore, the yellow paint needed is 3 parts out of a total of 4 parts (1 part blue and 3 parts yellow).
Since we know that the total amount of paint needed is 8 gallons, we can set up a proportion:
3 parts/4 parts = x gallons/8 gallons
By cross-multiplying, we get:
3 * 8 = 4 * x
24 = 4x
Dividing both sides by 4, we find:
x = 6
Therefore, Nate needs to buy 6 gallons of yellow paint.
So the correct answer is:
6 gallons
idk
answered
An illustration shows a set of five adjacent rectangles labeled as Adults. Another set of six adjacent rectangles is labeled as Kids and is placed below Adults. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 132.
It’s opening day at an amusement park. There are 132 people in line before it officially opens. If the ratio of adults to kids waiting to get in is 5:6 , how many kids are waiting in line?
(1 point)
Responses
66 kids
66 kids
60 kids
60 kids
12 kids
12 kids
72 kids
Bot GPT 3.5
answered
Looking at the tape diagram, we can see that the adults are represented by a set of five adjacent rectangles, and the kids are represented by a set of six adjacent rectangles. The bracket on the right side of the diagram encompasses both sets and points to the number 132.
Since the ratio of adults to kids is 5:6, we can determine that the five rectangles represent the 5 parts of the ratio for adults, and the six rectangles represent the 6 parts of the ratio for kids.
Therefore, if the total number of parts is 11 (5 parts for adults + 6 parts for kids), we can set up a proportion:
5 parts/11 parts = x kids/132 people
By cross-multiplying, we get:
5 * 132 = 11 * x
660 = 11x
Dividing both sides by 11, we find:
x = 60
Therefore, there are 60 kids waiting in line.
So the correct answer is:
60 kids.
idk
answered
An illustration shows a set of three adjacent rectangles labeled as Eggs. Another set of two adjacent rectangles is labeled as Sausages and is placed below eggs. All rectangles have the same dimensions. An upward-facing bracket above the center rectangle in Eggs points to the number 12.
Edgar is making an egg casserole for brunch. He needs eggs and sausages in the ratio of 3:2 . If he is going to use 12 eggs, how many sausages does he need?
(1 point)
Responses
5 sausages
5 sausages
20 sausages
20 sausages
12 sausages
12 sausages
8 sausages
8 sausages
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Bot GPT 3.5
answered
Looking at the tape diagram, we can see that the eggs are represented by a set of three adjacent rectangles, and the sausages are represented by a set of two adjacent rectangles. The upward-facing bracket above the center rectangle in the eggs section points to the number 12.
Since the ratio of eggs to sausages is 3:2, we can determine that the three rectangles represent the 3 parts of the ratio for eggs, and the two rectangles represent the 2 parts of the ratio for sausages.
Therefore, if the total number of parts is 5 (3 parts for eggs + 2 parts for sausages), and we know that there are 12 eggs, we can set up a proportion:
3 parts/5 parts = 12 eggs/x sausages
By cross-multiplying, we get:
3 * x = 5 * 12
3x = 60
Dividing both sides by 3, we find:
x = 20
Therefore, Edgar needs 20 sausages.
So the correct answer is:
20 sausages.
idk
answered
An illustration shows two horizontal tape diagrams made up of equally sized rectangles. The top tape diagram is labeled blueberries and is 3 rectangles long. The bottom tape diagram is labeled strawberries and is 1 rectangle long.
There are sixteen berries in a fruit bowl. The ratio of blueberries to strawberries is 3 to 1. What value should be inserted into each rectangle?
(1 point)
The number
should be inserted into each rectangle.
Bot GPT 3.5
answeredThe number 4 should be inserted into each rectangle.
idk
answered
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first section is labeled carbon atoms. The remaining 4 sections are labeled hydrogen atoms.
Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1:4 . A sample of methane gas contains 90 atoms. What value should be inserted into each rectangle?
(1 point)
The number
should be inserted into each rectangle.
Bot GPT 3.5
answeredThe number 18 should be inserted into each rectangle.
idk
answered
Bot GPT 3.5
answered
The first two sections will represent the blue paint, and the last section will represent the green paint.
Since the ratio is 2:1, we can label the two blue sections as 2 and the green section as 1.
Now, we know that Angelina needs a total of 6 gallons of paint. We can divide this equally among the three sections of the tape diagram.
If we divide 6 gallons equally into three sections, each section will represent 2 gallons.
Therefore, Angelina should buy 4 gallons of blue paint.
So the correct answer is:
4 gallons of blue paint.
idk
answered
Bot GPT 3.5
answered
The first three sections will represent the kids, and the last two sections will represent the adults.
Since the ratio is 3:2, we can label the three kid sections as 3 and the two adult sections as 2.
Now, we know that there are a total of 155 people in line. We can divide this equally among the five sections of the tape diagram.
If we divide 155 people equally into five sections, each section will represent 31 people.
Therefore, there are 62 adults in line.
So the correct answer is:
62 adults.
idk
answered
Bot GPT 3.5
answered
The first three sections will represent the cats, and the remaining five sections will represent the dogs.
Since the ratio is 3:5, we can label the three cat sections as 3 and the five dog sections as 5.
Now, we know that there are 25 dogs available for adoption. We can divide this equally among the five dog sections of the tape diagram.
If we divide 25 dogs equally into five sections, each dog section will represent 5 dogs.
Therefore, since there are three cat sections, the total number of cats available would be 3 * 5 = 15 cats.
So the correct answer is:
15 cats.
