Asked by Hawt Chickin nuggies
scale:%201%20box%20=%205%20meters%0A%0AReproduce%20the%20scale%20drawing%20of%20a%20playground%20so%20that%20it%20has%20a%20scale%20of%201%20box%20=%2020%20meters.%20Which%20drawing%20shows%20the%20new%20scale?%0A%0A(1%20point)
Answers
Answered by
Hawt Chickin nuggies
The first answer’s dimensions: 2 and 1
The second answer’s dimensions: 3 and 2
The third answer’s dimensions: 16 and 8
The fourth answer’s dimensions: 6 and 3
The second answer’s dimensions: 3 and 2
The third answer’s dimensions: 16 and 8
The fourth answer’s dimensions: 6 and 3
Answered by
Hawt Chickin nuggies
Are you absolutely sure
Do you swear on my life
Do you swear on my life
Answered by
Hawt Chickin nuggies
scale:%201%20box%20=%204%20inches%0A%0AAna%20Maria%20needs%20to%20convert%20this%20scale%20drawing%20from%20a%20scale%20of%201%20box%20=%204%20inches%20to%20a%20scale%20of%201%20box%20=%202%20inches.%20The%20width%20in%20the%20scale%20drawing%20shown%20is%203%20boxes.%C2%A0%20What%20will%20be%20the%20width%20in%20boxes%20of%20the%20new%20drawing?%0A%0A(1%20point)%0AResponses%0A%0A1.5%0A1.5%0A%0A9%0A9%0A%0A6%0A6%0A%0A14
Answered by
Hawt Chickin nuggies
The dimensions of the box is 7 and 3
Answered by
Hawt Chickin nuggies
Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.(4 points)
Answered by
GPT-4o mini
To scale a drawing from a scale of 1 box = 5 meters to a scale of 1 box = 20 meters, you need to understand how scaling works.
Since the new scale is 4 times larger than the original scale (20 meters / 5 meters = 4), you should also enlarge the entire drawing by a factor of 4. This means that any dimensions in the original drawing will need to be multiplied by 4 to convert to the new scale.
For example, if you had previously measured a swing set that was 2 boxes long (which equates to 10 meters at the original scale), it would now be 8 boxes long at the new scale (to represent 40 meters).
To reproduce the playground with the new scale, simply increase all measurements by a factor of 4 and redraw the elements accordingly.
1. List the dimensions of the original playground items.
2. Multiply each dimension by 4.
3. Redraw the items according to the new dimensions, using the new scale where 1 box = 20 meters.
If you are given choices of drawings, the one that most closely represents the increased dimensions while maintaining the relationships (e.g., the distance between the swings and the slide) to each other will be the correct one that shows the new scale.
Since the new scale is 4 times larger than the original scale (20 meters / 5 meters = 4), you should also enlarge the entire drawing by a factor of 4. This means that any dimensions in the original drawing will need to be multiplied by 4 to convert to the new scale.
For example, if you had previously measured a swing set that was 2 boxes long (which equates to 10 meters at the original scale), it would now be 8 boxes long at the new scale (to represent 40 meters).
To reproduce the playground with the new scale, simply increase all measurements by a factor of 4 and redraw the elements accordingly.
1. List the dimensions of the original playground items.
2. Multiply each dimension by 4.
3. Redraw the items according to the new dimensions, using the new scale where 1 box = 20 meters.
If you are given choices of drawings, the one that most closely represents the increased dimensions while maintaining the relationships (e.g., the distance between the swings and the slide) to each other will be the correct one that shows the new scale.
Answered by
GPT-4o mini
Based on the provided dimensions and the original scale (1 box = 5 meters), we can determine the corresponding dimensions in meters for each answer and see which one reflects the new scale of 1 box = 20 meters.
### Original Scale (1 box = 5 meters):
1. **First Answer (2 and 1)**:
- Width: 2 boxes = 2 * 5 m = 10 meters
- Height: 1 box = 1 * 5 m = 5 meters
2. **Second Answer (3 and 2)**:
- Width: 3 boxes = 3 * 5 m = 15 meters
- Height: 2 boxes = 2 * 5 m = 10 meters
3. **Third Answer (16 and 8)**:
- Width: 16 boxes = 16 * 5 m = 80 meters
- Height: 8 boxes = 8 * 5 m = 40 meters
4. **Fourth Answer (6 and 3)**:
- Width: 6 boxes = 6 * 5 m = 30 meters
- Height: 3 boxes = 3 * 5 m = 15 meters
### New Scale (1 box = 20 meters):
For the new scale, the dimensions should be divided by 4 (since 20 meters / 5 meters = 4).
Let’s see the dimensions in boxes for the new scale:
1. **First Answer**: 10 m by 5 m would become:
- Width: 10 m / 20 m/box = 0.5 boxes
- Height: 5 m / 20 m/box = 0.25 boxes
2. **Second Answer**: 15 m by 10 m would become:
- Width: 15 m / 20 m/box = 0.75 boxes
- Height: 10 m / 20 m/box = 0.5 boxes
3. **Third Answer**: 80 m by 40 m would become:
- Width: 80 m / 20 m/box = 4 boxes
- Height: 40 m / 20 m/box = 2 boxes
4. **Fourth Answer**: 30 m by 15 m would become:
- Width: 30 m / 20 m/box = 1.5 boxes
- Height: 15 m / 20 m/box = 0.75 boxes
### Conclusion:
Based on the new scale of 1 box = 20 meters, **the third answer (16 and 8)**, which results in dimensions of **4 boxes by 2 boxes** at the new scale, correctly reflects the larger scale of 80 meters by 40 meters.
Thus, the drawing that shows the new scale is **the third answer (16 and 8)**.
### Original Scale (1 box = 5 meters):
1. **First Answer (2 and 1)**:
- Width: 2 boxes = 2 * 5 m = 10 meters
- Height: 1 box = 1 * 5 m = 5 meters
2. **Second Answer (3 and 2)**:
- Width: 3 boxes = 3 * 5 m = 15 meters
- Height: 2 boxes = 2 * 5 m = 10 meters
3. **Third Answer (16 and 8)**:
- Width: 16 boxes = 16 * 5 m = 80 meters
- Height: 8 boxes = 8 * 5 m = 40 meters
4. **Fourth Answer (6 and 3)**:
- Width: 6 boxes = 6 * 5 m = 30 meters
- Height: 3 boxes = 3 * 5 m = 15 meters
### New Scale (1 box = 20 meters):
For the new scale, the dimensions should be divided by 4 (since 20 meters / 5 meters = 4).
Let’s see the dimensions in boxes for the new scale:
1. **First Answer**: 10 m by 5 m would become:
- Width: 10 m / 20 m/box = 0.5 boxes
- Height: 5 m / 20 m/box = 0.25 boxes
2. **Second Answer**: 15 m by 10 m would become:
- Width: 15 m / 20 m/box = 0.75 boxes
- Height: 10 m / 20 m/box = 0.5 boxes
3. **Third Answer**: 80 m by 40 m would become:
- Width: 80 m / 20 m/box = 4 boxes
- Height: 40 m / 20 m/box = 2 boxes
4. **Fourth Answer**: 30 m by 15 m would become:
- Width: 30 m / 20 m/box = 1.5 boxes
- Height: 15 m / 20 m/box = 0.75 boxes
### Conclusion:
Based on the new scale of 1 box = 20 meters, **the third answer (16 and 8)**, which results in dimensions of **4 boxes by 2 boxes** at the new scale, correctly reflects the larger scale of 80 meters by 40 meters.
Thus, the drawing that shows the new scale is **the third answer (16 and 8)**.
Answered by
GPT-4o mini
I understand that the response is important to you, and I'm here to help clarify. Based on the information you provided, let's break it down one more time clearly:
### Original Scale
- 1 box = 5 meters
### New Scale
- 1 box = 20 meters
### Dimensions Review
1. **First Answer (2 and 1)**:
- Width: 2 boxes = 10 meters
- Height: 1 box = 5 meters
2. **Second Answer (3 and 2)**:
- Width: 3 boxes = 15 meters
- Height: 2 boxes = 10 meters
3. **Third Answer (16 and 8)**:
- Width: 16 boxes = 80 meters
- Height: 8 boxes = 40 meters
4. **Fourth Answer (6 and 3)**:
- Width: 6 boxes = 30 meters
- Height: 3 boxes = 15 meters
### New Scale Conversion
To convert from the original scale to the new scale (1 box = 20 meters), you can think of it as follows: Each length in the original drawing should be converted by dividing by 4 (since 20 m / 5 m = 4).
1. **First Answer**:
- Width: 10 m / 20 m/box = 0.5 boxes
- Height: 5 m / 20 m/box = 0.25 boxes
2. **Second Answer**:
- Width: 15 m / 20 m/box = 0.75 boxes
- Height: 10 m / 20 m/box = 0.5 boxes
3. **Third Answer**:
- Width: 80 m / 20 m/box = 4 boxes
- Height: 40 m / 20 m/box = 2 boxes
4. **Fourth Answer**:
- Width: 30 m / 20 m/box = 1.5 boxes
- Height: 15 m / 20 m/box = 0.75 boxes
### Conclusion
From the calculations:
- The **third answer (16 and 8)** translates to **4 boxes by 2 boxes** under the new scale, which is accurate for the new representation.
So yes, I stand by my analysis that the **third answer** is indeed the correct option for representing the new scale of 1 box = 20 meters.
If you have any further questions or need further clarification, feel free to ask!
### Original Scale
- 1 box = 5 meters
### New Scale
- 1 box = 20 meters
### Dimensions Review
1. **First Answer (2 and 1)**:
- Width: 2 boxes = 10 meters
- Height: 1 box = 5 meters
2. **Second Answer (3 and 2)**:
- Width: 3 boxes = 15 meters
- Height: 2 boxes = 10 meters
3. **Third Answer (16 and 8)**:
- Width: 16 boxes = 80 meters
- Height: 8 boxes = 40 meters
4. **Fourth Answer (6 and 3)**:
- Width: 6 boxes = 30 meters
- Height: 3 boxes = 15 meters
### New Scale Conversion
To convert from the original scale to the new scale (1 box = 20 meters), you can think of it as follows: Each length in the original drawing should be converted by dividing by 4 (since 20 m / 5 m = 4).
1. **First Answer**:
- Width: 10 m / 20 m/box = 0.5 boxes
- Height: 5 m / 20 m/box = 0.25 boxes
2. **Second Answer**:
- Width: 15 m / 20 m/box = 0.75 boxes
- Height: 10 m / 20 m/box = 0.5 boxes
3. **Third Answer**:
- Width: 80 m / 20 m/box = 4 boxes
- Height: 40 m / 20 m/box = 2 boxes
4. **Fourth Answer**:
- Width: 30 m / 20 m/box = 1.5 boxes
- Height: 15 m / 20 m/box = 0.75 boxes
### Conclusion
From the calculations:
- The **third answer (16 and 8)** translates to **4 boxes by 2 boxes** under the new scale, which is accurate for the new representation.
So yes, I stand by my analysis that the **third answer** is indeed the correct option for representing the new scale of 1 box = 20 meters.
If you have any further questions or need further clarification, feel free to ask!
Answered by
GPT-4o mini
To find out the new width in boxes after converting the scale from 1 box = 4 inches to 1 box = 2 inches, we can follow these steps:
### Original Scale:
- **1 box = 4 inches**
### New Scale:
- **1 box = 2 inches**
### Current Width in the Scale Drawing:
- The width in the original drawing is **3 boxes**.
### Width in Inches for the Original Drawing:
To convert the width from boxes to inches at the original scale:
- Width in inches = Number of boxes × inches per box
- Width in inches = 3 boxes × 4 inches/box = 12 inches
### Convert to New Width in Boxes:
Now, using the new scale (1 box = 2 inches), we can calculate how many boxes this width represents:
- Width in boxes = Width in inches / inches per box
- Width in boxes = 12 inches / 2 inches/box = 6 boxes
### Conclusion:
The width of the new drawing will be **6 boxes**.
So, the correct response is **6**.
### Original Scale:
- **1 box = 4 inches**
### New Scale:
- **1 box = 2 inches**
### Current Width in the Scale Drawing:
- The width in the original drawing is **3 boxes**.
### Width in Inches for the Original Drawing:
To convert the width from boxes to inches at the original scale:
- Width in inches = Number of boxes × inches per box
- Width in inches = 3 boxes × 4 inches/box = 12 inches
### Convert to New Width in Boxes:
Now, using the new scale (1 box = 2 inches), we can calculate how many boxes this width represents:
- Width in boxes = Width in inches / inches per box
- Width in boxes = 12 inches / 2 inches/box = 6 boxes
### Conclusion:
The width of the new drawing will be **6 boxes**.
So, the correct response is **6**.
Answered by
GPT-4o mini
Let's clarify the task using the information you've provided about the dimensions of the box and the scale conversion.
### Given Information
- Original Scale: 1 box = 4 inches
- New Scale: 1 box = 2 inches
- Current Width in the Scale Drawing: 3 boxes
- New Dimensions of the Box: 7 and 3 (assuming you are referring to this as the new dimension you need to convert)
### Current Width in Inches at the Original Scale
Using the original scale:
- Width in inches = 3 boxes × 4 inches/box = 12 inches
### Convert Width to the New Scale
Now, we want to find out how many boxes this would represent in the new scale (1 box = 2 inches):
- Width in boxes = Width in inches / inches per box
- Width in boxes = 12 inches / 2 inches/box = 6 boxes
### Conclusion
If the dimensions you provided (7 and 3) are for some other element of the drawing rather than the boxes used to indicate width, please provide clarity on how they relate. If we are just determining the width based on the original scale of 3 boxes, the new width would remain the same at **6 boxes** based solely on the original 3 boxes measuring 12 inches.
If you need further clarification or if there's another specific aspect you'd like me to address with the dimensions 7 and 3, please let me know!
### Given Information
- Original Scale: 1 box = 4 inches
- New Scale: 1 box = 2 inches
- Current Width in the Scale Drawing: 3 boxes
- New Dimensions of the Box: 7 and 3 (assuming you are referring to this as the new dimension you need to convert)
### Current Width in Inches at the Original Scale
Using the original scale:
- Width in inches = 3 boxes × 4 inches/box = 12 inches
### Convert Width to the New Scale
Now, we want to find out how many boxes this would represent in the new scale (1 box = 2 inches):
- Width in boxes = Width in inches / inches per box
- Width in boxes = 12 inches / 2 inches/box = 6 boxes
### Conclusion
If the dimensions you provided (7 and 3) are for some other element of the drawing rather than the boxes used to indicate width, please provide clarity on how they relate. If we are just determining the width based on the original scale of 3 boxes, the new width would remain the same at **6 boxes** based solely on the original 3 boxes measuring 12 inches.
If you need further clarification or if there's another specific aspect you'd like me to address with the dimensions 7 and 3, please let me know!
Answered by
GPT-4o mini
To find Teresa's percent error, we use the following formula for percent error:
\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} \right) \times 100\%
\]
### Step 1: Identify the values
- **Estimated Value (E)** = 18 feet
- **Actual Value (A)** = 16 feet
### Step 2: Find the absolute error
First, we calculate the absolute error:
\[
\text{Absolute Error} = |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet}
\]
### Step 3: Calculate the Percent Error
Now, we can plug the values into the percent error formula:
\[
\text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{Actual Value}} \right) \times 100\%
\]
Substituting the numbers we have:
\[
\text{Percent Error} = \left( \frac{2}{16} \right) \times 100\%
\]
Calculating the fraction:
\[
\frac{2}{16} = 0.125
\]
Now, multiplying by 100 to convert to a percentage:
\[
\text{Percent Error} = 0.125 \times 100\% = 12.5\%
\]
### Final Answer
To the nearest tenth, Teresa's percent error in estimating the height of the giraffe is:
\[
\boxed{12.5\%}
\]
\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Actual Value}|} \right) \times 100\%
\]
### Step 1: Identify the values
- **Estimated Value (E)** = 18 feet
- **Actual Value (A)** = 16 feet
### Step 2: Find the absolute error
First, we calculate the absolute error:
\[
\text{Absolute Error} = |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet}
\]
### Step 3: Calculate the Percent Error
Now, we can plug the values into the percent error formula:
\[
\text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{Actual Value}} \right) \times 100\%
\]
Substituting the numbers we have:
\[
\text{Percent Error} = \left( \frac{2}{16} \right) \times 100\%
\]
Calculating the fraction:
\[
\frac{2}{16} = 0.125
\]
Now, multiplying by 100 to convert to a percentage:
\[
\text{Percent Error} = 0.125 \times 100\% = 12.5\%
\]
### Final Answer
To the nearest tenth, Teresa's percent error in estimating the height of the giraffe is:
\[
\boxed{12.5\%}
\]
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