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)

Question

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

Answer 1

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: \[ \boxed{3 \times 10^{-2}} \]