Answer: B.Infinitely many
Answer:
- 5x+3
- x -7
- -x +7
Step-by-step explanation:
Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.
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1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3
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2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7
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3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7
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<em>Additional comment</em>
Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.
Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
Answer:
2.5 ft
Step-by-step explanation:
A rectangular prism's volume is given by it's base area multiplied by it's height:
In this problem, we are given the volume and the base area, so we need to solve for h:
The units are feet, so the answer is 2.5 ft.
Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
