The combined volume of all the tanks at an aquarium is 2.25 × 104
gallons. The aquarium plans to install a new dolphin tank with a volume of 350,000
gallons. What will be the total volume of all of the tanks at the aquarium after the new dolphin tank is installed?
(1 point)
Responses
3.725 × 105
3.725 × 105
3.725 × 104
3.725 × 104
5.75 × 104
5.75 × 104
5.75 × 105
Please show work
To find the total volume of all the tanks at the aquarium after the new dolphin tank is installed, we need to add the volume of the new dolphin tank to the combined volume of all the existing tanks.
Combined volume of all tanks = 2.25 × 10^4 gallons
Volume of new dolphin tank = 3.5 × 10^5 gallons
Total volume = Combined volume + Volume of new dolphin tank
Total volume = 2.25 × 10^4 + 3.5 × 10^5
Total volume = 2.25 × 10^4 + 35 × 10^4
Total volume = 37.5 × 10^4
Total volume = 3.75 × 10^5 gallons
Therefore, the total volume of all the tanks at the aquarium after the new dolphin tank is installed is 3.75 × 10^5 gallons.
To find the total volume of all the tanks after the new dolphin tank is installed, we need to add the volume of the new dolphin tank to the combined volume of all the existing tanks.
Combined volume of all the tanks = 2.25 × 10^4 gallons
Volume of new dolphin tank = 350,000 gallons
Total volume of all tanks = Combined volume + Volume of new dolphin tank
Total volume of all tanks = 2.25 × 10^4 gallons + 350,000 gallons
Total volume of all tanks = 375,000 gallons
Therefore, the correct answer is:
3.75 × 10^5
To find the total volume of all the tanks at the aquarium after the new dolphin tank is installed, you need to add the volume of the new dolphin tank to the combined volume of all the existing tanks.
Given that the combined volume of all the tanks is 2.25 × 10^4 gallons and the volume of the new dolphin tank is 350,000 gallons, the total volume after the new dolphin tank is installed can be calculated as follows:
Total volume = combined volume of all existing tanks + volume of new dolphin tank
= 2.25 × 10^4 + 350,000
= 2.25 × 10^4 + 3.5 × 10^5
Now, to add these numbers, we need to make sure the exponents are the same. In this case, the exponent for 10^4 in the combined volume must be increased to 10^5 to match the exponent in the volume of the dolphin tank.
2.25 × 10^4 + 3.5 × 10^5 = 2.25 × 10^5 + 3.5 × 10^5
= (2.25 + 3.5) × 10^5
= 5.75 × 10^5
Therefore, the total volume of all the tanks at the aquarium after the new dolphin tank is installed is 5.75 × 10^5 gallons.