Solve the equation 4x + 29 = 5 - 8(x+6)
1 answer:
To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,
4x + 29 = 5 - 8(x+6)
4x + 29 = 5 - 8x - 48
4x + 29 = - 43 -8x Combine the like terms.
4x + 29 + 8x = -43 Add 8x to each sides of the equation.
12x + 29 = -43
12x = -43 - 29 Subtract 29 from each sides.
12x = -72
So, x =- 6
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The scale factor is 0.6. Then the area of the actual garage is 19.44 m². And dimensions are 3.6 m and 5.4 m.
<h3>What is the scale factor?</h3>Scale factor means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A scale model drawing of a garage is 6 centimeters wide and 9 centimeters long.
The scale model uses a scale in which 3 centimeters represent 1.8 meters.
The scale factor will be
m
Then the dimension of the actual garage will be
Length = 0.6 x 6 = 3.6 m
Width = 0.6 x 9 = 5.4 m
Then the area of the actual garage will be
Area of garage = Length x Width
Area of garage = 3.6 x 5.4
Area of garage = 19.44 m²
Thus, the area of the actual garage is 19.44 m². And dimensions are 3.6 m and 5.4 m.
More about the scale factor link is given below.