1/5(3x - 0.5) + 1/6= x/5 + 0.5
change decimals to fractions (0.5=1/2)
1/5(3x - 1/2) + 1/6= x/5 + 1/2
multiply 1/5 by each term in parentheses
(1/5*3x) + (1/5*-1/2) + 1/6= x/5 + 1/2
multiply within parentheses
3x/5 - 1/10 + 1/6= x/5 + 1/2
need a common denominator; all denominators go into 30
18x/30 - 3/30 + 5/30= 6x/30 + 15/30
combine like terms
18x/30 + 2/30= 6x/30 + 15/30
subtract 6x/30 from both sides
12x/30 + 2/30= 15/30
subtract 2/30 from both sides
12x/30= 13/30
multiply both sides by 30 to eliminate fractions
(12x/30)(30)= (13/30)(30)
12x= 13
divide both sides by 12
x= 13/12 or 1.083333
ANSWER: x= 13/12 or 1.083333
Hope this helps! :)
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
N=1.3
Picture attached for explanation
Answer:
O A. 
Step-by-step explanation:
To find the equation of the line, we need to know the slope and the y-intercept.
so, let's start by the slope. We need two points given in the graph.
(4, 5) and (-2, -3)
Then use the Slope-Formula to identify the Slope of the line.
m = slope
m = 
Slope Formula
m = 
subtract the second y from the first y / second x from first x
m = 
Turn the fraction to positive because two negatives = positi-
m = 
Simplify
m = 
Final Answer
The slope of the line is now what about the y-intercept?
The y-intercept is located at the y axis.
It determines how many units the graph goes up or down depending...
Well in this case, the y-intercept is negative because it is below on the yaxis
Then we must determine the y-intercept.
so we know is negative but it isn't exactly on a point so it is formed as a fra-
then we can determine it by seeing when it hits another unit (hard explainin)
y-intercept = -1/3
Final Answer: y = 
The answer is: 40
Step by step explanation:
