<h3>
Answer:</h3>
Width = 20 yards
Length = 25 yards
<h3>
Step-by-step explanation:</h3>
We are given;
- The area of a rectangle as 500 square yards
We are going to take;
- Length = x + 5 yards
- Width = x
But the area of a rectangle = length × width
Therefore;
x × (x +5) = 500
x² + 5x = 500
Rearranging in quadratic manner
x² + 5x - 500 = 0
Solving the quadratic equation;
Using factorization method
(x+25)(x-20) = 0
Therefore;
x = 20 or -25
We take, x = 20
Thus;
Width = 20 yards
Length = 25 yards
Answer:
The expression for the amount Mr. Parker will pay for the van be
x = 50 + 0.35m
Step-by-step explanation:
Let us assume that the amount Mr. Parker will pay for the van be x.
As given
Mr. Parker wants to rent a cargo van for a day.
It will cost the daily fee of $50 plus $0.35 per mile driven.
Let m = the number of miles .
Than the expression for the amount Mr. Parker will pay for the van.
x = 50 + 0.35m
Therefore the expression for the amount Mr. Parker will pay for the van be
x = 50 + 0.35m
Answer:
A. It is accurate. The phrase can be translated as “three” = 3, “less than” = subtraction, and “a number” = x, so 3-x is the correct expression.
Step-by-step explanation:
There are several ways to solve systems of linear equations. The most common methods are by graphing, elimination, and substitution. Let's start off with one of the most basic methods, graphing.
---------------Graphing Method---------------
2x + y = 33x + 2y = 6
In order to solve this system using the graphing method, we first have to change the two equations into slope-intercept form.
2x + y = 3 --> y = -2x + 33x + y = 7 --> y = -3x + 7
Then, we graph these two lines. (Attached Below)The solution set of a system of linear equations when graphing is actually the point at which the two lines intersect. So by graphing the two lines, we can obviously see that the solution set of this problem is (4, -5).
---------------Elimination Method---------------
The concept of elimination revolves around the concept of adding two equations. Using an example, let's see what happens when you add equations together.
2x + y = 33x + 2y = 6-----------5x + 3y = 9
Do you see how this works? Now, let's say that the orientation of these two equations were different. What would you do then?
2x + y = 36 - 3x = 2y
If this situation occurs, you have to rearrange it in a way that the form of the equations match. For example, if you have one in standard form, you have to algebraically return the other equation to the same form.
2x + y = 36 - 3x = 2y --> 6 = 3x + 2y --> 3x + 2y = 6
Now that the equations are in the same form, we can begin to solve. However, let's start with a simpler system to demonstrate the concept.
2x - y = 53x + y = 5
The process of elimination involves adding equations in a way that one of the unknown variables disappears. In this first example, let's see what happens when we simply add them right away.
2x - y = 53x + y = 5
Answer:
It is also 124 degrees.
Step-by-step explanation: