5x+25 final answer is x=5
Answer: Jen’s 83
Step by step;
Answer:
Step-by-step explanation:
this equation is written in y = mx + b form
m = slope
b = the y intercept
so if we rearrange the equation to
y = -23x -6
the slope is -23
the y intercept is (0, -6)
5 - v < 6, 5 - v >= 0
-5 + v < 6, 5 - v < 0
1) - v < 6 -5 (move 5 to the right side and then multiply by -1 both sides of the inequality)
v > -1 (don't forget that here v <= 5)
2) v < 6 + 5 (move -5 to the right side)
v < 11 (here v should be more than 5)
so from 1) you get that v is from -1 to 5 inclusive (-1;5]
and from 2) you get that v is from 5 to 11 (5;11)
so by adding up results from 1) and 2) you get v is (-1; 11)
answer: (-1; 11)
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
