Answer:
Part A) The number line in the attached figure
Part B) The absolute value equation is 
Step-by-step explanation:
Part A) Represent these two distances on a number line
we know that
The minimum distance between two fence posts is 4 feet, and the maximum distance is 10 feet
Let
x ----> the distance between the two fence post
so

The interval is -------> [4,10]
using a graphing tool
see the attached figure
In a number line the solution is the shaded area at right of x=4 (close circle) and at the left of x=10 (close circle)
Part B) Write an absolute value equation that represents the minimum and maximum distances
Find the midpoint of the interval [4,10]

substitute the values


The distance from the midpoint to the endpoints of the interval is 3 feet
so
The absolute value equation is

<em>Verify</em>
<u>Solve the absolute value</u>
case 1) positive value

Solve for x
----> maximum distance
case 2) negative value

Solve for x

----> minimum distance
Slowest- 5.665 because it is 5 so it will round up.
Fastest- 5.669 will also round up to the nearest hundredth which is 5.67
The answer is y^-1 :) when you have two exponents over a y in a fraction or divison, you always subtract the top from the bottom. hope this helps!
Answer:
We know that the formula to mix chemical solutions is: C1V1 = C2V2
where C represents the concentration of the solute, and V represents volume in milliliters or ml.
In this case, we have:
0.06V1 = 0.15×350
Solving for 'V1' we have:
V1 = (0.15×350)/0.06 = 52.5/0.06 = 875
Therefre I can make 875 mL of a 6% solution by diluting 350 mL of a 15% solution.