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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine how many gallons of perfume will be in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 * 10²).

First, we calculate the number of containers: \[ 3.5 \times 10^2 = 3.5 \times 100 = 350 \text{ containers} \]

Next, we divide the total amount of perfume by the number of containers: \[ \frac{10.5 \text{ gallons}}{350 \text{ containers}} = 0.03 \text{ gallons per container} \]

Finally, we express 0.03 in scientific notation: \[ 0.03 = 3.0 \times 10^{-2} \]

Thus, each container will have \( \boxed{3.0 \times 10^{-2}} \) gallons of perfume.