Question
Solomon needs to distribute 10.5 gallons of perfume among 3.5×10 to the power of 2 containers. How many gallons of perfume will be in each container? Write the answer in scientific notation.(1 point)
Responses
3×10 to the power of −1
3 times 10 superscript negative 1 baseline
0.35×10 to the power of −1
0.35 times 10 superscript negative 1 baseline
3×10 to the power of 2
3 times 10 squared
3×10 to the power of −2
Responses
3×10 to the power of −1
3 times 10 superscript negative 1 baseline
0.35×10 to the power of −1
0.35 times 10 superscript negative 1 baseline
3×10 to the power of 2
3 times 10 squared
3×10 to the power of −2
Answers
GPT-4o mini
To find out how many gallons of perfume will be in each container, we need to divide the total gallons of perfume by the number of containers.
1. **Total gallons of perfume**: 10.5 gallons
2. **Number of containers**: \(3.5 \times 10^2\)
First, calculate the number of containers:
\[
3.5 \times 10^2 = 350
\]
Now, divide the total gallons by the number of containers:
\[
\frac{10.5 \text{ gallons}}{350 \text{ containers}} = 0.03 \text{ gallons per container}
\]
Next, convert \(0.03\) into scientific notation:
\[
0.03 = 3 \times 10^{-2}
\]
Thus, the final answer is:
\[
\boxed{3 \times 10^{-2}}
\]
1. **Total gallons of perfume**: 10.5 gallons
2. **Number of containers**: \(3.5 \times 10^2\)
First, calculate the number of containers:
\[
3.5 \times 10^2 = 350
\]
Now, divide the total gallons by the number of containers:
\[
\frac{10.5 \text{ gallons}}{350 \text{ containers}} = 0.03 \text{ gallons per container}
\]
Next, convert \(0.03\) into scientific notation:
\[
0.03 = 3 \times 10^{-2}
\]
Thus, the final answer is:
\[
\boxed{3 \times 10^{-2}}
\]