Answer:
Step-by-step explanation:
Given the equation ![\frac{1}{3}(x+9) = -12](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28x%2B9%29%20%3D%20-12)
Step 1;
Expand the bracket at the right hand side of the equation to have:
![\frac{1}{3}x +\frac{1}{3}(9) = -12\\\frac{1}{3}x+3=-12\\subtracting\ 3\ from\ both\ sides\\\frac{1}{3}x+3-3=-12-3\\\frac{1}{3}x=-15\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B3%7D%289%29%20%3D%20-12%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%2B3%3D-12%5C%5Csubtracting%5C%203%5C%20from%5C%20both%5C%20sides%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%2B3-3%3D-12-3%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%3D-15%5C%5C)
Taking the reciprocal of both sides:
![\frac{3}{x} = \frac{-1}{15} \\ cross\ multiplying\\-x =45\\x=-45](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%7D%20%3D%20%5Cfrac%7B-1%7D%7B15%7D%20%5C%5C%20cross%5C%20multiplying%5C%5C-x%20%3D45%5C%5Cx%3D-45)
Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Answer
B., C.
Step-by-step explanation:
Since the 'E' in the middle
it represents that the angle forms at the vertex E