Bob and Carol are making glass dolls. On average, they break 12% of the dolls. Today, they only broke 2/3 as many dolls as usual
1 answer:
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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:
<u />
<u>(a) The first five</u>
Notice that the difference in the number of tiles of successive mosaic is 3.
This means that:
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:
In this case:
So, we have:
There are 32 tiles in the tenth mosaic.
Read more about arithmetic sequence at:
40% = 40 / 100 = 0.4
32 is 40% of what
= 32 / 40
= 32 / 0.4
= 80
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U can also use this equation to solve it.
32 = 40%x
Simplfy
= 32 = 2/5x
Flib the equation.
2/5x = 32
Multipy both sides by 5/2
(5/2) * 2/5x = (5/2) * 32
x = 80.
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32 is 40% of what
= 32 / 40
= 32 / 0.4
= 80
-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-
U can also use this equation to solve it.
32 = 40%x
Simplfy
= 32 = 2/5x
Flib the equation.
2/5x = 32
Multipy both sides by 5/2
(5/2) * 2/5x = (5/2) * 32
x = 80.
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