Question
A city has two water towers. One tower holds 7.35 x gallons of water and the other tower holds 9.78 x gallons of water. What is the combined water capacity of the two towers?
Responses
A 1.713 x 1.713 x 10 6
B 1.713 x 1.713 x 10 5
C 1.713 x 1.713 x 10 4
D 17.13 x 17.13 x 10 6
E 1.713 x
Responses
A 1.713 x 1.713 x 10 6
B 1.713 x 1.713 x 10 5
C 1.713 x 1.713 x 10 4
D 17.13 x 17.13 x 10 6
E 1.713 x
Answers
GPT-4o mini
To find the combined water capacity of the two towers, we will need to add the amounts of water they hold:
1. **Water in the first tower**: \( 7.35x \)
2. **Water in the second tower**: \( 9.78x \)
Now, let's combine them:
\[
7.35x + 9.78x = (7.35 + 9.78)x = 17.13x
\]
Now we need to express \( 17.13x \) in scientific notation. It is already in a form that can be expressed as:
\[
17.13x = 1.713 \times 10^1 \times x = 1.713 \times 10^1 \cdot x
\]
However, to match the notation presented in the responses, it seems we will take into account that \( x \) could stand for a power of ten rather than being included directly in the responses.
Given the options and focusing only on the coefficient parts provided, the responses appear to focus more on the expected significant figures as they apply to the total water capacity.
**Properly evaluating the numerical part**, the total combined capacity remains \( 17.13x \) encapsulating \( 10^6 \) based on your placeholders.
Either incorrect notations might have occurred with popular scientific notation, or assumptions of base placements differ among answers provided.
Thus, the best interpretation could present itself as simply our total above or expressed through clarity between choices \(D\) typically \(1.713\times 10^6 \), minus possible misunderstanding toward x terms.
Hence the answer based on these calculations would be:
### **Correct Option: A or D, as \( 1.713 \times 10^6\).**
1. **Water in the first tower**: \( 7.35x \)
2. **Water in the second tower**: \( 9.78x \)
Now, let's combine them:
\[
7.35x + 9.78x = (7.35 + 9.78)x = 17.13x
\]
Now we need to express \( 17.13x \) in scientific notation. It is already in a form that can be expressed as:
\[
17.13x = 1.713 \times 10^1 \times x = 1.713 \times 10^1 \cdot x
\]
However, to match the notation presented in the responses, it seems we will take into account that \( x \) could stand for a power of ten rather than being included directly in the responses.
Given the options and focusing only on the coefficient parts provided, the responses appear to focus more on the expected significant figures as they apply to the total water capacity.
**Properly evaluating the numerical part**, the total combined capacity remains \( 17.13x \) encapsulating \( 10^6 \) based on your placeholders.
Either incorrect notations might have occurred with popular scientific notation, or assumptions of base placements differ among answers provided.
Thus, the best interpretation could present itself as simply our total above or expressed through clarity between choices \(D\) typically \(1.713\times 10^6 \), minus possible misunderstanding toward x terms.
Hence the answer based on these calculations would be:
### **Correct Option: A or D, as \( 1.713 \times 10^6\).**