Answer :

To solve the expression [tex]$7000: 6 x 7 + 8$[/tex], let's break it down step by step:

1. Understand the Operations:
- The symbol ":" is typically used to denote division in some mathematical contexts.
- In the given expression, we can rewrite it as: [tex]\( \frac{7000}{6 \times 7} + 8 \)[/tex].

2. Calculate the Multiplication:
- Start by calculating the product of 6 and 7.
- [tex]\( 6 \times 7 = 42 \)[/tex].

3. Perform the Division:
- Now, divide 7000 by the result of the multiplication.
- [tex]\( \frac{7000}{42} = 166.67 \)[/tex] (approximate to two decimal places).

4. Add 8 to the Result:
- Finally, add 8 to the result of the division.
- [tex]\( 166.67 + 8 = 174.67 \)[/tex].

So, the final result of the expression [tex]$7000: 6 x 7 + 8$[/tex] is approximately 174.67.