Certainly! Let's solve the mathematical expressions step-by-step.
### 1. Calculate [tex]\( 2(3 \text{ km}) + 2(7 \text{ km}) \)[/tex]:
First, we multiply each term inside the parentheses by 2:
- [tex]\( 2 \times 3 \text{ km} = 6 \text{ km} \)[/tex]
- [tex]\( 2 \times 7 \text{ km} = 14 \text{ km} \)[/tex]
Next, we add these results together:
- [tex]\( 6 \text{ km} + 14 \text{ km} = 20 \text{ km} \)[/tex]
So, [tex]\( 2(3 \text{ km}) + 2(7 \text{ km}) \)[/tex] equals [tex]\( 20 \text{ km} \)[/tex].
### 2. Calculate [tex]\( 3 \text{ km} + 7 \text{ km} \)[/tex]:
Here, we simply add the two distances together:
- [tex]\( 3 \text{ km} + 7 \text{ km} = 10 \text{ km} \)[/tex]
So, [tex]\( 3 \text{ km} + 7 \text{ km} \)[/tex] equals [tex]\( 10 \text{ km} \)[/tex].
### 3. Calculate [tex]\( 3 \text{ km} \times 7 \text{ km} \)[/tex]:
For multiplication:
- [tex]\( 3 \text{ km} \times 7 \text{ km} = 21 \text{ km}^2 \)[/tex]
So, [tex]\( 3 \text{ km} \times 7 \text{ km} \)[/tex] equals [tex]\( 21 \text{ km}^2 \)[/tex].
### Summary
Thus, the numerical results for the given expressions are:
1. [tex]\( 2 (3 \text{ km}) + 2 (7 \text{ km}) = 20 \text{ km} \)[/tex]
2. [tex]\( 3 \text{ km} + 7 \text{ km} = 10 \text{ km} \)[/tex]
3. [tex]\( 3 \text{ km} \times 7 \text{ km} = 21 \text{ km}^2 \)[/tex]
