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Aleks [24]
3 years ago
5

In a set of dominoes, each piece is marked with two numbers, one on each end. the pieces are symmetrical so that the two numbers

are unordered. that is, the combination (2, 6) and (6, 2) are not distinguishable. how many pieces can be formed using the numbers 1, 2, ... , 12?
Mathematics
1 answer:
ki77a [65]3 years ago
8 0

That would be the number of combinations of of 2 from 12 + the number of doubles ( 1 and 1 , 2 and 2 and so on).

= 12C2 + 12

= (12*11)/ 2 + 12

= 66 + 12 = 78 Answer

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Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.
Sauron [17]

Option B: $y=4$ is the value of y

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It is given that "Two times x is 8 more than y". Writing it as expression, we have,

2x=8+y

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

x+2y=14

To find the value of y, let us solve the two equations using substitution method.

From the equation 2x=8+y , let us find the value of x.

x=\frac{8+y}{2}

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x=4+\frac{y}{2}

Now, substituting x=4+\frac{y}{2} in the equation x+2y=14 , we get,

4+\frac{y}{2}+2y=14

      4+\frac{5y}{2} =14

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            5y=20

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