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Readme [11.4K]
3 years ago
8

The length of a rectangle is one more than five times its width. If a perimeter is 38, find the dimensions . Show work .

Mathematics
1 answer:
saul85 [17]3 years ago
6 0
x-width\\5x+1-length\\\\2x+2(5x+1)=38\\\\2x+10x+2=38\\\\2x+10x=38-2\\\\12x=36\ \ \ \ \ \ |:12\\\\x=3\\\\5\cdot3+1=15+1=16\\\\Dimensions:\ 3\ and\ 16
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Consider the sequence 130, 143, 156, 169, ...    Write an explicit formula to represent the arithmetic sequence and use it to fi
Hunter-Best [27]

Answer:

A(n)=130+13(n-1) ; 86

Step-by-step explanation:

Here is the sequence

130,143,156,169.......

the first term denoted by a is 130 and the common difference denoted by d is second term minus first term

143 - 130 = 13

Hence a=130 and d = 13

Now we have to evaluate to 13th term.

The formula for nth term of any Arithmetic Sequence is

A(n) = a+(n-1)d

Hence substituting the values of a ,and d  get

A(n)=130+13(n-1)

To find the 13th term , put n = 13

A(13)=130+13*(13-1)

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A(13) = 286

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Therefore m=1/3, C=0.
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We are given with two equations to find the values of two variables, hence the problem can be solved.

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Answer:

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Step-by-step explanation:

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