Answer:
D) 24x + 52
Step-by-step explanation:
The perimeter of the purple rectangle is
P =2(l+w)
=2 (4x+5 + 2x+7)
Combine like terms
=2 (6x+12)
Distribute
= 12x +24
The perimeter of the white rectangle is
P =2(l+w)
P =2(3x+14 +3x)
Combine like terms
=2(6x+14)
Distribute
12x +28
Add the perimeters
12x +24 + 12x +28
24x +52
Answer:
y > 7
Step-by-step explanation:
The solution to the first inequality can be found by adding y-8 to it:
-5 ≤ y
The solution to the second can be found by subtracting 2 from it:
y > 7
Since the solution must satisfy both inequalities, the intersection of the partial solutions is the solution space. The area of overlap of these partial solutions is ...
y > 7
Option A: The minimum number of colors needed to color the graph is 2
Explanation:
Given that ABCDEF is a graph with 6 vertices.
We need to determine the minimum number of colors needed to color the graph with 6 vertices.
To determine the minimum number of colors for the graph, let us use the chromatic number.
The chromatic number is the minimum number of colors that is required to color the graph in such a way that no two adjacent vertices must have the same color.
According to the chromatic number, if the graph with even number of vertices, then its chromatic number is 2.
Since, ABCDEF is a graph with 6 vertices, then the minimum number of color needed to color the graph is 2.
Therefore, the minimum number of colors needed to color the graph is 2.
Hence, Option A is the correct answer.
Answer:
a) 450 gravel b)1250 sand
Step-by-step explanation:
:)
Answer:
V = 1071.79 yd^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h where r is the radius and h is the height
We are given a diameter of 16 so the radius is 1/2 of the diameter or 8
The height is 16
V = 1/3 ( 3.14) (8)^2 ( 16)
V = 1071.78666 yd^3
Rounding to the nearest hundredth
V = 1071.79 yd^3