A home with an area of 2,200 square feet has 660 square feet of wood flooring. What percent of the home's flooring is wood
1 answer:
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The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
, or 
in slope-intercept form, a parallel line will be of the form 
.
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form
.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
We can have any equation of the form
Answer:
1. Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
2. Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,
25x ≥ 600 ≥ 15y -------------(3)
4. Yes, Stella can afford to sign up for the trip with the money she earns.
Step-by-step explanation:
Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies
for $ 15 each, then, according to the question,
25x ≥ 600 ≥ 15y -------------(3)
Yes, Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and
$ = $ 600 = The amount of money Stella needs for the trip.