Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:

The width of the rectangle is the greatest common factor of
,
and 
That is the width is: 
We now divide the area by the width to obtain the length of the rectangle:

This simplifies to:


2/3 meters would be a reasonable estimate.
Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2
Total length of border = 6 + 2 + 6 + 2 = 16
Answer:
50 Teachers
Step-by-step explanation:
To solve this problem, we first need to find the number of teachers <em>before </em>the new teachers were added. To do so, I created Model 1. On the bottom of the ratios, we have students. On the top, is teachers. The X is the number of teachers we are trying to find. Following the model, I multiplied 2,100 x 1 (2,100) and divided it by 14 to get 150 teachers. Then, I set up a similar model with the new student-teacher ratio (Model 2). From there, I multiplied 2,100 x 2 (4,200) and divided it by 21 to get 200 teachers. Now I have the original number of teachers and the new number of teachers. Subtract the new by the original to find the teachers added and you get the answer of 50 teachers added.
Answer:
The correct option is E) About 1 in a million.
Step-by-step explanation:
Consider the provided information.
It is given that one in a hundred million people is a genius.
Let G represents the Genius and Q represents the quirky.
We need to find the probability that someone is acting quirky- what is the probability that they are a genius.
The probability that person is quirky is: 
The probability of
Hence, the required probability is:



Which is near about 1 in a million.
Hence, the correct option is E) About 1 in a million.