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
The answer is C. 16.5 m^2.
The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}
<h3>How to create the Subset and Proper Subset of the set?</h3>
The set is given as:
A = {1,2,3,4}
Subsets of a set are sets that can be found in another set
An instance of this is
B = {1, 2}
Because all the elements of set B are in set A
Proper subsets of a set are sets that contain the exact elements found in another set
An instance of this is
C = {1,2,3,4}
Because set C and set A have the same elements
Read more about subsets at:
brainly.com/question/6948738
#SPJ1