Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
5/7
6*5/6*7
30/42
30/42 = 30/42
Yes, 5/7 and 30/42 form a proportion.
Expression simplified: 
Step-by-step explanation:
The expression that we have in this problem is:

The first type of operation that we have to solve in such expression are multiplication/division.
In this expression, there is only one multiplication, that is:

So we can rewrite the expression as

Now we can evaluate the sum of the similar terms: in this case, similar terms are only 3 and 4, and their sum is

Therefore, the expression can be rewritten as

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Answer:
k = 4/5
Step-by-step explanation:
First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."
Next, identify the LCD. It is 6. Then the given equation becomes
5k + 4 = 8
Consolidate the constant terms:
5k = 4
Solve for k: k = 4/5
The original was expanded...