25 6/12 = 306/12is the total feet of a string
4 3/12 =51/12 feet got lost
To get a remaining part subtract the lost part from the total string
306/12-48/12=255/12
=21 1/4
Therefore the remaining part of a string is 21 1/4 feet
In the given system of equations, the value of x is 7.334 and the value of y is 7.714
<h3>Solving system of linear equations</h3>
From the question, we are to solve the given system of linear equations
The given system of linear equations is
3x + 7y = 76 ------------ (1)
9y + 5y = 108 ------------ (2)
From equation (2), solve for y
9y+ 5y = 108
14y = 108
y = 108/14
y = 7.714
Substitute the value of x into equation (1), to determine the value of x
3x + 7y = 76
3x + 7(7.714) = 76
3x + 53.998 = 76
Subtract 53.998 from both sides of the equation
3x + 53.998 - 53.998 = 76 - 53.998
3x = 22.002
Divide both sides of the equation by 3
3x/3 = 22.002/3
x = 7.334
Therefore,
x = 7.334 and y = 7.714
Learn more on Solving system of linear equations here: brainly.com/question/13729904
#SPJ1
Not necessarily, the more correct definition is opposite reciprocal slopes.
The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.
In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.
10. Infinitely many solutions:
Simplify this equation:
When 
the equation becomes
This equality is true for all x, thus the equation has infinitely many solutions.
11. The equation 
should have one solution x=-1.
First, simplify the equation:
This equation will have solution x=-1 when
Therefore, the initial equation is
12. The equation 
should have infinitely many solutions.
Simplify it:
When 
this equation will have infinitely many solutions.
