Answer :
Certainly! Let's break down the solution step-by-step for each part of the question.
### Part b:
We need to determine the quantity of water left in the tank after some water has been poured out.
1. Initial quantity of water in the tank:
The tank initially contains [tex]\(8.85 \times 10^5\)[/tex] liters of water.
2. Quantity of water poured out:
[tex]\(3.4 \times 10^3\)[/tex] liters of water is poured out.
3. Calculate the quantity of water left in the tank:
To find this, we need to subtract the water poured out from the initial quantity:
[tex]\[ \text{Water left in the tank} = 8.85 \times 10^5 - 3.4 \times 10^3 \][/tex]
According to our calculations, the quantity of water left in the tank is:
[tex]\[ 881600.0 \text{ liters} \][/tex]
### Part c:
We need to determine the quantity of water in a carton of bottles.
1. Quantity of water in one bottle:
Each bottle contains [tex]\(1.25 \times 10^2\)[/tex] liters of water.
2. Number of bottles in the carton:
The carton contains [tex]\(1.15 \times 10^2\)[/tex] bottles.
3. Calculate the total quantity of water in the carton:
To find this, we multiply the quantity of water per bottle by the number of bottles:
[tex]\[ \text{Water in the carton} = 1.25 \times 10^2 \times 1.15 \times 10^2 \][/tex]
According to our calculations, the total quantity of water in the carton is:
[tex]\[ 14375.0 \text{ liters} \][/tex]
Therefore, the answers are:
- Part b: The quantity of water left in the tank is [tex]\(881600.0\)[/tex] liters.
- Part c: The quantity of water in the carton is [tex]\(14375.0\)[/tex] liters.
### Part b:
We need to determine the quantity of water left in the tank after some water has been poured out.
1. Initial quantity of water in the tank:
The tank initially contains [tex]\(8.85 \times 10^5\)[/tex] liters of water.
2. Quantity of water poured out:
[tex]\(3.4 \times 10^3\)[/tex] liters of water is poured out.
3. Calculate the quantity of water left in the tank:
To find this, we need to subtract the water poured out from the initial quantity:
[tex]\[ \text{Water left in the tank} = 8.85 \times 10^5 - 3.4 \times 10^3 \][/tex]
According to our calculations, the quantity of water left in the tank is:
[tex]\[ 881600.0 \text{ liters} \][/tex]
### Part c:
We need to determine the quantity of water in a carton of bottles.
1. Quantity of water in one bottle:
Each bottle contains [tex]\(1.25 \times 10^2\)[/tex] liters of water.
2. Number of bottles in the carton:
The carton contains [tex]\(1.15 \times 10^2\)[/tex] bottles.
3. Calculate the total quantity of water in the carton:
To find this, we multiply the quantity of water per bottle by the number of bottles:
[tex]\[ \text{Water in the carton} = 1.25 \times 10^2 \times 1.15 \times 10^2 \][/tex]
According to our calculations, the total quantity of water in the carton is:
[tex]\[ 14375.0 \text{ liters} \][/tex]
Therefore, the answers are:
- Part b: The quantity of water left in the tank is [tex]\(881600.0\)[/tex] liters.
- Part c: The quantity of water in the carton is [tex]\(14375.0\)[/tex] liters.