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Original Question
An American football field has an area of 6.4 x 10^3 square yards.A Canadian football field is 3,350 square yards larger. What...Asked by Nugget
An American football field has an area of
square yards. A Canadian football field is 3,350 square
yards larger. What is the area of a Canadian football
field? Write your answer in scientific notation to 2
decimal places. (1 point)
6.4 × 10
3
square yards. A Canadian football field is 3,350 square
yards larger. What is the area of a Canadian football
field? Write your answer in scientific notation to 2
decimal places. (1 point)
6.4 × 10
3
Answers
Answered by
GPT-4o mini
To find the area of a Canadian football field given that it is 3,350 square yards larger than an American football field, we can represent the area of the American football field as \( A \) (in square yards). Then the area of the Canadian football field \( C \) can be expressed as:
\[
C = A + 3350
\]
If we know the area of the American football field is \( 6.4 \times 10^3 \) square yards, we can substitute that value into the equation:
\[
C = 6.4 \times 10^3 + 3350
\]
Next, we need to convert \( 3350 \) into scientific notation to perform the addition more easily.
\[
3350 = 3.35 \times 10^3
\]
Now we can add the two areas together:
\[
C = (6.4 \times 10^3) + (3.35 \times 10^3) = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3
\]
Thus, the area of a Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
\[
C = A + 3350
\]
If we know the area of the American football field is \( 6.4 \times 10^3 \) square yards, we can substitute that value into the equation:
\[
C = 6.4 \times 10^3 + 3350
\]
Next, we need to convert \( 3350 \) into scientific notation to perform the addition more easily.
\[
3350 = 3.35 \times 10^3
\]
Now we can add the two areas together:
\[
C = (6.4 \times 10^3) + (3.35 \times 10^3) = (6.4 + 3.35) \times 10^3 = 9.75 \times 10^3
\]
Thus, the area of a Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
Answered by
GPT-4o mini
Let's recalculate the area of the Canadian football field correctly.
1. **Area of American Football Field**: Given as \( 6.4 \times 10^3 \) square yards.
2. **Increase**: The area of the Canadian football field is 3,350 square yards larger than that of the American football field.
First, let's convert 3,350 into scientific notation:
\[
3,350 = 3.35 \times 10^3
\]
Now, we can find the area of the Canadian football field using the equation:
\[
C = A + 3350
\]
Substituting \( A = 6.4 \times 10^3 \):
\[
C = (6.4 \times 10^3) + (3.35 \times 10^3)
\]
Now, we add the two:
\[
C = (6.4 + 3.35) \times 10^3
\]
Calculating the sum:
\[
6.4 + 3.35 = 9.75
\]
So:
\[
C = 9.75 \times 10^3
\]
Thus, the area of the Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
If this is not what you were looking for, please specify the area of the American football field so I can provide the correct calculation based on that.
1. **Area of American Football Field**: Given as \( 6.4 \times 10^3 \) square yards.
2. **Increase**: The area of the Canadian football field is 3,350 square yards larger than that of the American football field.
First, let's convert 3,350 into scientific notation:
\[
3,350 = 3.35 \times 10^3
\]
Now, we can find the area of the Canadian football field using the equation:
\[
C = A + 3350
\]
Substituting \( A = 6.4 \times 10^3 \):
\[
C = (6.4 \times 10^3) + (3.35 \times 10^3)
\]
Now, we add the two:
\[
C = (6.4 + 3.35) \times 10^3
\]
Calculating the sum:
\[
6.4 + 3.35 = 9.75
\]
So:
\[
C = 9.75 \times 10^3
\]
Thus, the area of the Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
If this is not what you were looking for, please specify the area of the American football field so I can provide the correct calculation based on that.
Answered by
GPT-4o mini
Thank you for confirming that the area of the American football field is \( 6.4 \times 10^3 \) square yards. Let's calculate the area of the Canadian football field step by step.
1. **Area of the American Football Field (A)**:
\[ A = 6.4 \times 10^3 \, \text{square yards} = 6400 \, \text{square yards} \]
2. **Additional Area for the Canadian Football Field**:
The Canadian football field is 3,350 square yards larger than the American football field.
3. **Total Area of the Canadian Football Field (C)**:
\[ C = A + 3350 \]
\[ C = 6400 + 3350 = 9750 \, \text{square yards} \]
4. **Convert to Scientific Notation**:
To express 9750 in scientific notation:
\[ 9750 = 9.75 \times 10^3 \]
Therefore, the area of the Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
This confirms the previous answer correctly based on your input. If you're looking for a different format or have more specific requirements, please let me know!
1. **Area of the American Football Field (A)**:
\[ A = 6.4 \times 10^3 \, \text{square yards} = 6400 \, \text{square yards} \]
2. **Additional Area for the Canadian Football Field**:
The Canadian football field is 3,350 square yards larger than the American football field.
3. **Total Area of the Canadian Football Field (C)**:
\[ C = A + 3350 \]
\[ C = 6400 + 3350 = 9750 \, \text{square yards} \]
4. **Convert to Scientific Notation**:
To express 9750 in scientific notation:
\[ 9750 = 9.75 \times 10^3 \]
Therefore, the area of the Canadian football field is:
\[
\boxed{9.75 \times 10^3} \, \text{square yards}
\]
This confirms the previous answer correctly based on your input. If you're looking for a different format or have more specific requirements, please let me know!
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