Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.
1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
Answer:
y=2x-23
Step-by-step explanation:
m=(-9+7)/(7-8)=-2/-1=2
y=2x+b
-7=2(8)+b
-7-16=b
b=-23
y=2x-23
18x = 162
x = 9
There are 9 cartons filled with 18 eggs each, which is 162 eggs in total.
The scale factor from Figure A to Figure B is 4
<h3>How to determine the
scale factor from Figure A to Figure B?</h3>
From the question, we have the following statement:
Figure B is a scaled copy of Figure A.
The corresponding side lengths of figure A and figure B are:
Figure A = 10
Figure B = 40
The scale factor from Figure A to Figure B is then calculated as:
Scale factor = Figure B/Figure A
Substitute the known values in the above equation
Scale factor = 40/10
Evaluate the quotient
Scale factor = 4
Hence, the scale factor from Figure A to Figure B is 4
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The total amount Aisha would pay to paint her room is $54.
<h3>What is the cost of painting the rooms?</h3>
The first step is to determine the area of the walls. The walls have the shape of a rectangle. Thus, the formula for the area of a rectangle would be used to determine the area of the wall.
Area of the three walls without a door : 3 x (length x width)
3 x (2.4 x 5.2) = 37.44 m²
Area of the fourth wall with a door : area of the wall - area of the door
(2.4 x 5.2) - (2 x 0.8) = 10.88m²
Total area of the walls : area of the three walls + area of the wall with the door
10.88m² + 37.44 m² = 48.32 m²
The next step is to determine the number of tins that would be needed:
48.32 /12 = 4.03
5 tins would needed
Cost of the 5 tins: (4 x 12) + (0.5 x 12) = $54
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