Answer:
6
Step-by-step explanation:
this question is basically asking you to find the HCF of 30 and 36
step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors
step 2: multiply the prime factors they have in common
30 = 2 x 3 x 5
36 = 2 x 2 x 3 x 3
HCF = 2 x 3 = 6
Answer:
A. 
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004, 
Newspapers circulated in year 2014, 
Let the time
start at the year 2004. So, 
For the year 2014, 
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

Therefore, the equation describing the relationship is: 
Part B:
For the year 2018, 
Plug in 14 for
in the above equation and solve for
. This gives,

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.
We know that 3/10*20=6 students are eating salads.
We also know that 3/5*20=12 students are eating sandwiches.
Assuming each person only eats one thing, there are 20-12-6=2 students eating lunches other than salads or sandwiches.
Answer:
(6,3)
Step-by-step explanation:
y=2/3 x - 1
y=-1/2 x + 6
Since both equations are equal to y, we can set them equal
2/3 x - 1 =-1/2 x + 6
We have fractions, so I will multiply by 6 to clear the fractions
6(2/3 x - 1) =(-1/2 x + 6)6
Distribute
4x -6 = -3x +36
Add 3x to each side
4x+3x -6 = -3x+3x +36
7x -6 = 36
Add 6 to each side
7x-6+6 = 36+6
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Now we need to find y
y =2/3x -1
y = 2/3(6) -1
y = 4-1
y=3
(6,3)