Answer:
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
Step-by-step explanation:
1. For solving the question and understand which of the statements matches with the solution, let's proceed with the equation:
2x − 4 = 20
2x - 4 + 4 = 20 + 4 (Adding 4 at both sides)
2x = 24
2x/2 = 24/2 (Dividing by 2 at both sides)
x = 12
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
2g - 2h = b + 4
2g = b + 4 + 2h
g = (b + 4 + 2h) / 2
Answer:
Every group of 6 people has at least two uniform 3-person groups.
Step-by-step explanation:
Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.
There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.
If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.
Rotation about the origin
Answer:
1089
Step-by-step explanation:
The original number is A0CD, We have that DC0A = 9 x A0CD.
If A =1, then D = 9 and we have:
9C01 = 9 x 10C9
In order for this expression to be true, the following must also be true:
(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.
The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.
72 = 9 x 8.
Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:
1089 x 9 = 9,081
Therefore, 1089 is correct.
