I think it makes it more easier if you simplify the inequality.
4x + 20 < 40 First subtract 20 on both sides
4x + 20 - 20 < 40 - 20
4x < 20 DIvide 4 on both sides to get the variable "x" by itself
x < 5 [x is less than 5, so x represents the numbers that are less than 5]
[Note:
If the sign is < or >, you use an open circle.
If the sign is ≤ or ≥, you use a closed circle.]
Your answer is the 1st option because the solution is any number that is less than 5
A = pi(r^2)
1. Calculate radius:
r = d/2, so r = 18
2. Enter variable into equation
a = pi(r^2)
becomes a = 3.14(18^2)
3. Solve
a = 3.14(324)
a ~= 1018 in2
4. Convert to feet
1018/12 = 84 ft2
5. Multiply by unit rate
84(3.5) = $294
It will cost $294 to paint the sign.
Since roots go down into the ground, the answers must be negative. That eliminates both 2 4/5 deep and 3.86. You could look at a number line if your unsure, but -3.54 is between 3 and 4, as is -3 2/5.
Answer:
y <−2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Given:
The system of equations is


To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is

Where, m is the slope and b is the y-intercept.
We have,


On comparing these two lines with slope intercept form, we get


Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.