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Ivenika [448]
3 years ago
8

5x - 2y = 10 x + 4y = 2

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

- 40

Step-by-step explanation:

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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

T_2 = 8

T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

T_{10} = 5 + 27

T_{10} = 32

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
2 years ago
Complete the statement to describe the expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h. The expression
solmaris [256]

Answer:

The expression contains FOUR terms and each term contains TWO factors.

Step-by-step explanation:

In algebra, the word term refers to single numbers(10),  variables<em>(</em><em>y</em><em>)</em> also the product of the two(<em>10y</em>).

In the given expression : <em>ab+cd+ef+gh .</em>

We have four terms;

  • ab
  • cd
  • ef
  • gh

A factor is part of a product. For the given equation we Four terms each term will have two factors.

  • <em>ab</em>- is a product of factor a and b
  • <em>cd- </em>is a product of factor<em> c </em>and<em> d</em>
  • <em>ef-</em>is a product of factor<em> e </em>and<em> f</em>
  • <em>gh-</em>is a product of factor<em> g </em>and<em> h </em>
5 0
3 years ago
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