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.
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:
----------------------------------
| 9 | 9 |
-----------------------------------
(Small Dogs)
----------------------------------------
| 9 | 9 | 9 |
----------------------------------------
(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.
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
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 |
----------------------------------------
(Hydrogen Atoms)
----------------------
| 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.
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
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.
To represent the ratio of small dogs to large dogs at the pet store with a tape diagram, we can draw two rectangles and three rectangles next to each other.
Let's say each rectangle represents a certain number of dogs. Since the ratio of small dogs to large dogs is two to three, we can divide the total number of dogs (45) into five equal parts, where two parts represent small dogs and three parts represent large dogs.
Below is a representation of the tape diagram:
______________________
| | | |
| Small | Small | Large |
|________|________|________|
2 2 3
Each rectangle represents 9 dogs (45 divided by 5).
Therefore, we have 2 rectangles representing small dogs and 3 rectangles representing large dogs.
To represent the ratio of small dogs to large dogs at the pet store with a tape diagram, we will divide a rectangular tape into five equal parts. Since the ratio is two to three, we will allocate two parts for small dogs and three parts for large dogs.
Now, let's start by drawing a rectangle to represent the tape diagram.
```
-------
```
Next, we'll divide the rectangle into five equal parts.
```
--|--|--
```
We will label the leftmost two parts as "Small dogs" and the rightmost three parts as "Large dogs."
```
Small dogs | Large dogs
--|--|--
```
Finally, we will label the number of dogs represented by each part. Since there are 45 dogs in total, we need to determine how many dogs each part represents.
Since the total number of parts is 2 + 3 = 5, each part represents 45 divided by 5 = 9 dogs.
Let's label the parts accordingly:
```
Small dogs (2 parts) | Large dogs (3 parts)
9 dogs | 9 dogs | 9 dogs | 9 dogs | 9 dogs
```
And there you have it! The tape diagram represents the ratio of small dogs to large dogs at the pet store.