X + y = 136
x = 3y - 16
3y - 16 + y = 136
4y - 16 = 136
4y = 136 + 16
4y = 152
y = 152/4
y = 38
x = 3y - 16
x = 3(38) - 16
x = 114 - 16
x = 98
the larger piece (x) = 98 ft and the smaller piece (y) = 38 ft
The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
<h3>Equation of a line</h3>
The equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
Given the equation y = -x + 2, the slope of the line parallel to the line is -1
Substitute the slope and point (-3, -5)
y -(-5) = -1(x - (-3))
y+5 = -(x + 3)
y+5 =-x - 3
y = -x - 3 - 5
y = -x - 8
Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
Learn more on equation of a line here: brainly.com/question/18831322
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The first graph is the answer.
Answer: she baked 1225 muffins.
Step-by-step explanation:
Let x represent the number of muffins that she baked.
She gave 4/11 of the muffins to her friends. This means that the number of muffins that she gave to her friends is 4x/11. The number of muffins remaining is
x - 4x/7 = 3x/7
She gave 4/7 of the remainder to the guests at the event. This means that the number of muffins that she gave to the guests at the event is
4/7 × 3x/7 = 12x/49
The number of muffins remaining would be
3x/7 - 12x/49 = 9x/49
She had 225 muffins left. It means that
9x/49 = 225
9x = 225 × 49 = 11025
x = 11025/9
x = 1225
