Let's solve this system of equations through substitution.
We have these two equations.
-7x-2y=14
6x+6y=18
Now let divide the second equation by 6.
6x+6y=18 ----> x+y=3
Next, let us move y to the right side of the equation.
x+y=3 -------> x=3-y (x equals 3-y)
Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.
-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)
We have a one variable equation now and can solve for y.
-7(3-y)-2y=14
-21+7y-2y=14
5y=35
y=7
Plug in 7 for y in any equation to find x.
x+y=3
x+7=3
x=-4
answer: x=-4, y=7
The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
<h3>What is mean absolute deviation?</h3>
Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.
For this case, the table of mean and mean absolute deviation is given as:

(M.A.D refers to Mean Absolute Deviation).
So, difference in their mean is 82 - 78 = 4
Absolute deviation for Sidney is 3.28
Thier ratio is: 4/3.28
Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
Learn more about ratio here:
brainly.com/question/12106245
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ 
= 
Thus,
<CAB =
-
= 
<CBA =
-
= 
Sine rule states;
=
= 
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
b = 
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
a = 
= 124.8073
Sarge is about 125 feet away from the fire.
Answer:
1.375
Step-by-step explanation: