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.
For this case, the first thing we must do is define variables:
x: number of quarters
y: number of nickels
We now write the system of equations:
x + y = 68
0.25x + 0.05y = 13.40
Solving the system we have:
x = 50
y = 18
Answer:
they have:
quarters = 50
nickels = 18
Answer:
first number= 19/5
second number= 2/5
Step-by-step explanation:
first number= a
second number= b
a+3b=5 equation 1
b+2a=8 equation 2
using equation 2 we have
b=8-2a
using equation 1 we have
a+3(8-2a)=5
a+24-6a=5
24-5=6a-a
19=5a
a=19/5 = first number
so using b=8-2a
we have
b=8-2(19/5)
b=8-(38/5)
b=2/5 = second number
YX equals +2 squared minus -17 is approximately the answer of the origin
Answer:
Equation to represent the situation = 
Step-by-step explanation:
Given:
Initial investment = Y
Growth rate (r) = 5% = 5 / 100 = 0.05
Number of year (n) = X year
Amount after X year = $800
Find:
Equation to represent the situation:
Computation:
Equation to represent the situation =
