Answer:
x > 5
Step-by-step explanation:
Given that:
= -2(3x + 2) > -8x + 6
(negative sign before bracket will alter the internal signs when multiplied by each term)
= -6x - 4 > -8x +6
Taking x terms on left side and other constants on right side
= -6x + 8x > 6 +4
Signs will be changer for transferred terms
= 2x > 10
By Dividing both sides 2 we get
=x > 10/2
= x >5
Answer:
Step-by-step explanation:
We need to find a rational number between 3/5 and 4/5.
We can find a rational number between two fractions as :
We have, a = 3/5 and b = 4/5
So,
So, a rational number between 3/5 and 4/5 is equal to 7/10.
Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²
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Answer:
x=16
Step-by-step explanation:
Simplifying
0.4x + -4 = 2.4
Reorder the terms:
-4 + 0.4x = 2.4
Solving
-4 + 0.4x = 2.4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 0.4x = 2.4 + 4
Combine like terms: -4 + 4 = 0
0 + 0.4x = 2.4 + 4
0.4x = 2.4 + 4
Combine like terms: 2.4 + 4 = 6.4
0.4x = 6.4
Divide each side by '0.4'.
x = 16
Simplifying
x = 16
