Answer:
x = 11.4
Step-by-step explanation:
14.12 =
( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.
In short, the final answer is choice D.
We are given this

write it as the difference of cubes

use the formula for the difference of cubes

Now use the formula for the difference of squares as 

So to set up the equation we have:
<span><span><span>4M</span><span>4+M</span></span>=<span>127</span></span>
<span>28M=12(4+M)</span>
<span>28M=48+12M</span>
<span>28K−12M=48</span>
<span>(28−12)M=48</span>
<span>16K=48</span>
<span>M=<span>4816</span></span>
<span>M=3</span>
So Marna can clean the chimney alone in 3 hours
(105^3) * (105^3).....keep the base and add the exponents