Her normal hourly rate is $13 an hour, her overtime is $19.50
By definition, the area of a rectangle is:
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
Rewriting we have:
Answer:
The width is given by:
Answer: ?
Step-by-step explanation:
(1) 3x+2y=12
(2) -4x+6y=24
Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2
Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24
Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13
Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13
x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13
Answer: The value of -x+2y is 108/13
Answer:
Below.
Step-by-step explanation:
1. The common difference is 3 so the next 2 terms are 12 and 15.
2.. The common difference is 2 so the next 2 terms are 4 and 6.
