The linear equation that can be used to represent the situation using 9, w and 163 is 9w + 63 = 198
The solved equation to find the number of weeks is w = 15
<h3 />
<h3>What is a linear equation?</h3>
Linear equation are equation in which the highest power of the variable is equals to 1.
Suzan is saving money to buy a bike . She already have $63 and is going to save an additional $9 per week. The cost of the bike is $198.
Let
w = number of weeks
The linear equation that can be used to represent the situation using 9, w and 163 is as follows:
using the slope-intercept form,
y = mx + b
where
m = slope
b = y-intercept
Therefore,
The solved equation to find the number of weeks is as follows:
- 9w = 198 - 63
- 9w = 135
- w = 135 / 9
- w = 15
learn more on linear equation here: brainly.com/question/26311977
Answer: the 1 one
Step-by-step explanation:
Lets calculate the taxes that would been payed at each city:
city1 = 12000(7%) = 12000(0.07) = 840
city2 = <span>12000(8.5%) = 12000(0.085) = 1020
So if you go to city1 instead of city2, you save 1020 - 840 = 180
So you would save $180 from $12000, that is:
180 out of 12000
= 180/12000
= 0.015
and that is the 1.5%, that is what you could save</span>
For this question, you would have to use the midpoint formula.
(X1 +X2 / 2 , Y1 + Y2 / 2)
In other words,
(9 + -3 / 2 , -7 +5 / 2)
(6 / 2 , -2 / 2)
(3 , -1)
Your midpoint is (3, -1)
Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
