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melisa1 [442]
3 years ago
6

Jane cuts a piece of twine into three pieces.The second pieces is 7 times as long as the

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
Twine into three pieces, lets call them x, y and z

The second piece is 7 times as long as the first piece
7x = y
The third piece is 5 feet longer than the first piece
x + 5 = z
The total length of twine is 320 feet
x + y + z = 320

This is a simultaneous equation.
My goal is to make the final equation in terms of x <span>i.e. 5.5x = 320
</span>I choose the final equation because it is the only equation which has a value in it.

We will substitute the first and second equation into the third equation.
7x = y , x + 5 = z
x + y + z = 320
x + (7x) + (x+5) = 320
9x + 5 = 320
9x = 315
x = 35
Now that we know x, we can substitute it into the first and second equation to find x and y
7x = y              =>        7(35) = y      =>   245 = y
x + 5 = z          =>        (35) + 5 = z  =>   40 = z

In summary
>The first piece, x, is 35 feet long
>The second piece, y, is 245 feet long
>The third piece, z, is 40 feet log
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Explanation:
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The numbers are:  "x"  and "x + 14" .

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 → x + (x + 14) = 28 ;

Rewrite as:

 →  x + x + 14 = 28 ;

 →  1x + 1x + 14 = 28 ;

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Divide EACH SIDE of the equation by "2" ;
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5 0
3 years ago
Use the distributive property -5 {x + 4} + -3x + -9x + -7
grin007 [14]

Answer:

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Step-by-step explanation:

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-5(x + 4) + -3x + -9x + -7

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