Samuel ran 8 miles on Monday, 4.25 miles on Tuesday, and 3.3 miles on
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The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
We have two points:
A(-4, -7), and B(12, 5)
Let's assume A(x1, y1) and B(x2, y2)
The ratio is 1:3 = m:n
Let's assume the y-coordinate is a
From the section formula:
a = -4
Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
Learn more about the straight line here:
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For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:
It is also known that 25 hours per week are available for sewing, that is:
It has a system of two equations with two unknowns, solving we have:
Multiplying the second equation by -1:
Adding up:
Substituting x in the first equation:
Clearing and:
Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits