The ratio of small dogs to large dogs at the pet store is two to three. There are 45 dogs at the pet store. Represent the ratio with a tape diagram.

Answer 1

A tape diagram is a visual way to represent a problem or a number's relationship to another number. It's a problem-solving tool that can be drawn horizontally or vertically.

Here's how to represent the ratio 2:3 with a tape diagram:

Step 1: Identify the total amount in the ratio: 2 parts small dogs + 3 parts large dogs = 5 parts total.

Step 2: Identify the real total amount. There are 45 dogs.

Step 3: Figure out what each "part" in the ratio equals in reality. Each part equals: 45 dogs ÷ 5 parts = 9 dogs per part.

Step 4: Draw the tape diagram. Draw a long rectangle and divide it into 5 equal parts because there are 5 parts in the ratio.

Step 5: Label the parts. The first 2 parts represent small dogs and each part should be labeled 9 (because each part corresponds to 9 dogs). The last 3 parts represent large dogs and should also each be labeled 9.

FIG:
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| 9 | 9 |
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(Small Dogs)

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| 9 | 9 | 9 |
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(Large Dogs)

This shows the ratio of small dogs to large dogs, 2:3, where there are 2 parts (18 dogs) that are small and 3 parts (27 dogs) that are large.

Answer 2

A water molecule has a ratio of two hydrogen atoms to one oxygen atom. There are 48 atoms. Represent the ratio with a tape diagram

Answer 3

Here's how to represent the ratio 2:1 with a tape diagram:

Step 1: Identify the total amount in the ratio: 2 parts hydrogen atoms + 1 part oxygen atom = 3 parts total.

Step 2: Identify the real total amount. There are 48 atoms.

Step 3: Figure out what each "part" in the ratio equals in reality. Each part equals: 48 atoms ÷ 3 parts = 16 atoms per part.

Step 4: Draw the tape diagram. Draw a long rectangle and divide it into 3 equal parts because there are 3 parts in the ratio.

Step 5: Label the parts. The first 2 parts represent hydrogen atoms and each part should be labeled 16 (because each part corresponds to 16 atoms). The last part represents the oxygen atom and should also be labeled 16.

FIG:
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| 16 | 16 |
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(Hydrogen Atoms)

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| 16 |
----------------------
(Oxygen Atoms)

This shows the ratio of hydrogen atoms to oxygen atoms, 2:1, where there are 2 parts (32 atoms) that are hydrogen and one part (16 atoms) that is oxygen.

Answer 4

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

Answer 5

Step 1: Identify the total amount in the ratio: 5 parts adults + 6 parts kids = 11 parts total.

Step 2: Identify the real total amount. There are 132 people.

Step 3: Figure out what each "part" in the ratio equals in reality. Each part equals: 132 people ÷ 11 parts = 12 people per part.

Step 4: Multiply the amount per part by the number of parts for kids. 12 people per part * 6 parts kids = 72 kids.

So, there are 72 kids waiting in line.