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Daniel [21]
2 years ago
7

Simplify.

Mathematics
1 answer:
Vladimir [108]2 years ago
5 0

Answer:

a. -3.78x-0.84

Step-by-step explanation:

To simplify, combine like terms. Because you're just adding them you don't have to change any signs. Add/subtract the terms with an x, that will give you your first number, then add/subtract the terms without an x to get your second number.

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Please help I’m not sure how to do this and I’m struggling
Alexeev081 [22]

1.1     Pull out like factors :

  -8x - 2  =   -2 • (4x + 1)

2.1    Divide both sides by  -2

Remember to flip the inequality sign:

2.2    Divide both sides by  4  

     x+(1/4)  ≥ 0

Solve Basic Inequality :

2.3      Subtract  1/4  from both sides

           x ≥ -1/4

8 0
3 years ago
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Diego correctly points out that 108 cubes with an edge length of 1/3
pogonyaev

Answer:

Option C) 4 cubic inches is the volume of the rectangular prism.

Step-by-step explanation:

It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.

Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.

So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.

The formula for finding the volume of a cube is given by,

Volume of a cube = a³

where a represents the edge length

We know that, the edge length is 1/3 inch.

⇒ a = 1/3

Volume of a cube = (1/3)³

⇒ 1/3 × 1/3 × 1/3

⇒ 1/27 cubic inches

To find the volume of 108 cubes :

⇒ 108 × volume of one cube

⇒ 108 × 1/27

⇒ 4 cubic inches.

∴ The volume of 108 cubes is the volume of rectangular prism which is 4 cubic inches (option C)

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Answer:

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9+3 ←commutative property of 3+9
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