I have only begun my Freshman Year of High School, and therefore I can only answer #2. Assuming they arrived at camp somewhere in the afternoon on the 188th day, take the amount of coffee and create a proportion for ounces of coffee/pound of coffee. Do this for all 27 pounds of coffee, because there are only three pounds left, and divide it by the amount of days the travel took. This method of solving will give you the answer.
First off 3/9 and 6/9 are already common denominators. In some fractions you would need to find the least common denominator like in a problem like 1/2 + 4/5. Also 3/9 plus 6/9 results in 9/9 and 9/9 equals 1. Most fractions adding it subtracting results in a pan answer as a fraction but in this case it’s a whole number.
Answer:
30°
Step-by-step explanation:
RUT= RST ----since they both stand on common arc TR
Thus, RST = 30°
Answer:
The System of equation is 
.
Step-by-step explanation:
Given:
Let 'x' be the number of questions worth 5 points.
Let 'y' be the number of questions worth 2 points
Total Number of Problems = 29
So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.
Framing in equation form we get;
.
Also Given:
Test is of Total Points = 100
Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by and the number of questions worth 2 points multiplied by 2.
Framing in equation form we get;
Hence The System of Equations are 
.
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
