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asambeis [7]
3 years ago
12

A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.

Mathematics
2 answers:
Triss [41]3 years ago
7 0
The answer is C because it has all of them and all of them have a chance of being selected.
Zolol [24]3 years ago
6 0
I did test i got it wrong but i saw correct answer it is c
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Which expression is equivalent to a2 + 2a – 8?
marshall27 [118]

Answer:

D

Step-by-step explanation:

(a+4)(a-2)=a^2+2a-8

a*a=a^2

a*(-2)=-2a

a*4=4a

4*(-2)=-8

a^2-2a+4a-8=a^2+2a-8

4 0
3 years ago
180 red marbles to 145 blue marbles <br> ratio
Ket [755]

Answer:

36 : 29

Step-by-step explanation:

Require to simplify the ratio

180 : 145

Divide both parts by 5

= 36 : 29 ← in simplest form

Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.

6 0
3 years ago
Expand the following by using the distributive property: 6(-3w+1/3)
zepelin [54]

Answer:

-18w+2

Step-by-step explanation:

6*-3w=-18w

1/3*6=2

7 0
3 years ago
Read 2 more answers
Tyler is overdrawn at the bank by $180. His brother has $70 more than him. How much money does Tyler's brother have?
Lena [83]

Answer:

Tyler's brother has $250

Step-by-step explanation:

180+70 =250

8 0
2 years ago
Read 2 more answers
The base of a prism has n sides. Find the numbers of faces, edges, and
Harman [31]

Answers:

  • faces = n+2
  • edges = 3n
  • vertices = 2n

===========================================================

Explanation:

Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.

In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.

------------------------

Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.

For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.

--------------------------

Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.

For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.

---------------------------

One way to check the answer:

We could use Euler's Polyhedron Formula which is

F+V-E = 2

where,

  • F = number of faces
  • V = number of vertices
  • E = number of edges

For the hexagonal prism we found

  • F = 8
  • V = 12
  • E = 18

Then notice how

F+V-E = 2

8+12-18 = 2

20-18 = 2

2 = 2

This confirms the formula works for a hexagonal prism.

Now let's check it for the more general case

We found earlier that,

  • F = n+2
  • V = 2n
  • E = 3n

So,

F+V-E = 2

n+2+2n-3n = 2

3n-3n+2 = 2

0n+2 = 2

0+2 = 2

2 = 2

This helps confirm the answer for any prism with the base of n sides.

4 0
2 years ago
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