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natka813 [3]
2 years ago
7

An equation is shown x + 3 = 8.5 what is the solution to the question A x = 11.5 B x= 5.5 C x= 2.83 D x= 25.5

Mathematics
2 answers:
german2 years ago
3 0
Answer: x =5.5

x+3=8.5

subtract “-3” from both sides

x = 5.5
malfutka [58]2 years ago
3 0
The answer should be 5.5
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Help plsss i dont get it
Kamila [148]

Part A

The pattern of squares is 1, 4, 9, ... which is the set of perfect squares

  • 1 = 1^2
  • 4 = 2^2
  • 9 = 3^2

and so on

The 7th figure will have 49 squares because 7^2 = 49

<h3>Answer: 49</h3>

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

Part B

Each pattern has one circle per corner (4 circles so far). In addition, there's one circle per unit side to form the perimeter.

  • Pattern 1 has 4+4(1) = 8 circles
  • Pattern 2 has 4+4(2) = 12 circles
  • Pattern 3 has 4+4(3) = 16 circles

The nth term will have 4+4n circles. The first '4' is the number of circles at the corners. The 4n is the circles along the perimeter. If you wanted, 4+4n factors to 4(1+n).

Plug in n = 20 to find the 20th figure has 4+4n = 4+4(20) = 84 circles

<h3>Answer: 84</h3>

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

Part C

  • Pattern 1 has 1 square + 8 circles = 9 items total
  • Pattern 2 has 4 squares + 12 circles = 16 items total
  • Pattern 3 has 9 squares + 16 circles = 25 items total

This seems to suggest if the pattern number is odd, then we need an odd number of tiles (square + circular).

Let n be the pattern number. Pattern n needs n^2 square tiles and 4+4n = 4n+4 circular tiles. Overall, n^2+4n+4 tiles are needed.

It turns out that if n is odd, then n^2+4n+4 is always odd. The proof is shown below.

Side note: n^2+4n+4 factors to (n+2)^2

<h3>Answer: B) will always be odd</h3>

8 0
1 year ago
For the given polynomial​ P(x) and c=1/2 use the remainder theorem to find​ P(c).
Aleonysh [2.5K]

Answer:

-2.90625

Step-by-step explanation:

Given the polynomial function

P(x) = x^5-x^4+x^3-3

If c = 1/2

At x = c

P(1/2) = (1/2)^5-(1/2)^4+(1/2)^3-3

P(1/2) = 1/32 - 1/16 + 1/8 - 3

P(1/2) = 1-2+4-96/32

P(1/2) = -93/32

P(1/2) = -2.90625

Hence P(c) is -2.90625

8 0
2 years ago
Alica has 32 stickers .this is 4 times as many as benita has .how many sticker does benita have?
Lelechka [254]
Work out 32 times by 4
4 0
3 years ago
Read 2 more answers
A cube has a surface area of 96 square centimeters. How long is each face of the cube?
netineya [11]

Answer:

I believe the answer would be 4

Step-by-step explanation:

I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out.  a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.

Hope this helps, and you understand it more!

6 0
3 years ago
Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by
frozen [14]

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

5 0
2 years ago
Read 2 more answers
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