Bill has $270.61 in his account before making any transactions. Over the course of a week, Bill makes the following transactions
2 answers:
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Answer:
Step-by-step explanation:
By definition, the perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
If you solve for "l":
In this case, you know that the following expression represents the perimeter of the rectangle:
And the width of that rectanle is represented wih this expression:
Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:
Finally, simplifying the expression, you get:
Answer:
The solution is (0, 2) or x = 0, y = 2.
Step-by-step explanation:
Solving a system of linear equations graphically entails graphing the lines and then finding the point where the lines intersect. This point of intersection will be the solution to the system of equations.
Getting these linear equations into slope-intercept form (y = mx + b, where m is the line's slope and b is the line's y-intercept) makes them a lot easier to graph, so let's make sure that both lines are in slope-intercept form.
The first line isn't in slope-intercept form, so we can rewrite it as:
x + y = 2
y = -x + 2 (Subtract x from both sides of the equation to isolate y)
The second line technically isn't in slope-intercept form, so we can rewrite it as:
y = 2 - 3x
y = -3x + 2 (Commutative Property of Addition)
Now, we can graph the lines to find the solution to the system.
To graph y = -x + 2, draw a line with a slope of -1 (since m = -1) and a y-intercept of (0, 2) (since b = 2). This is the red line on the graph.
To graph y = -3x + 2, draw a line with a slope of -3 (since m = -3) and a y-intercept of (0, 2) (since b = 2). This is the blue line on the graph.
Looking at the graph below, we see that the lines intersect at (0, 2), so this is our answer.
To check if this point is a solution to the system of equations, simply substitute the x and y-coordinates of the point into the equations. If the point satisfies all of the equations, then it is a solution to the system.
In (0, 2), x = 0, and y = 2. Substituting these values into the first equation gives us 0 + 2 = 2, which simplifies to 2 = 2. This is a true statement, so (0, 2) satisfies the first equation. Substituting x = 0 and y = 2 into the second equation gives us 2 = 2 - 3 * 0, which simplifies to 2 = 2. This is also a true statement, so (0, 2) satisfies the second equation, and therefore is a solution to the system of linear equations. Hope this helps!
we are given
for finding y , we can isolate y
so, we can divide both sides by 0.6
.............Answer