Answer:
x = 21
Step-by-step explanation:
1/3(x + 6) = 1/2(x - 3)
(3)1/3(x + 6) = (3) 1/2(x - 3) - multiply both sides by 3 to get rid of the 1/3
x + 6 = 3/2(x - 3)
x + 6 = 3/2 (-9/2) - i distributed the 3/2 into the parenthesis
x + 6 (2) = 3/2 (-9/2) (2) - multiply each side by 2 to get rid of the fractions
2x + 12 = 3x - 9
2x - 3x = -12 -9 - bring the x to one side
-x = -21
-x/-1 = -21/-x
x = 21
Answer:
Equal to
Step-by-step explanation:
I hope this helped
3 thousandths: 0.003
2 hundreths: 0.02
0.003+0.02= 0.023
a) What is the slope of the line parallel to it?
Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).
b) What is the slope of the line perpendicular to it?
Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.
Answer:
Integer coordinates are pairs of integers that are used to determine points in a grid, relative to a special point called the origin. The origin has coordinates (0,0). Any other point in the grid has a pair of coordinates (x,y).
Step-by-step explanation:
Answer:
The answers of all four questions are below.
Step-by-step explanation:
(5)4+2x=−2x+44
Step 1: Simplify both sides of the equation.
2x+4=−2x+44
Step 2: Add 2x to both sides.
2x+4+2x=−2x+44+2x
4x+4=44
Step 3: Subtract 4 from both sides.
4x+4−4=44−4
4x=40
Step 4: Divide both sides by 4.
4x/4=40/4
x=10
-----------------------------------------------------------------------------------------------------------------
(6)114−3x=194−11x
Step 1: Simplify both sides of the equation.
114−3x=194−11x
114+−3x=194+−11x
−3x+114=−11x+194
Step 2: Add 11x to both sides.
−3x+114+11x=−11x+194+11x
8x+114=194
Step 3: Subtract 114 from both sides.
8x+114−114=194−114
8x=80
Step 4: Divide both sides by 8.
8x/8 = 80/8
x=10
------------------------------------------------------------------------------------------------------
(7)4x-12=-2x+36
4x-12+12=-2x+36+12
4x=-2x+48
4x+2x=-2x+48+2x
6x=48
6x/6=48/6
x=8
-----------------------------------------------------------------------------------------------------------
(9)-3x+90=117-12x
-3x+90-90=117-12x-90
-3x=-12x+27
-3x+12x=-12x+27+12x
9x=27
9x/9=27/9
x=3
-------------------------------------------------------------------------------------------------------
Oh, and a tip if your having trouble with algebraic expressions I recommend you use mathpapa and symbolab when I was learning expressions this really helped me. Have a great day.
