Answer:
There are 25 males and 21 females in the class
Step-by-step explanation:
Let us use the equation to solve the question
∵ A Spanish class has a total of 46 students
∵ The number of males is 4 more than the number of females
→ Assume that the number of females is x
∵ The number of females = x
∴ The number of males = x + 4
→ Add the numbers of males and females and equate the sum by 46
∴ x + x + 4 = 46
→ Add the like terms in the left side
∴ 2x + 4 = 46
→ Subtract 4 from both sides
∴ 2x + 4 - 4 = 46 - 4
∴ 2x = 42
→ Divide both sides by 2
∴ ![\frac{2x}{2}=\frac{42}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B42%7D%7B2%7D)
∴ x = 21
∵ x represents the number of females
∴ There are 21 females
∵ x + 4 represents the number of males
∴ The number of males = 21 + 4 = 25
∴ There are 25 males
So put simply, this means x^2 -6+8=x-2. Now factor the left side, you get (x-2)(x-4)=x-2. Now divide both sides by (x-2). You get x-4=1. So the answer is x=5
You have to divide your total by 4 to figure out what 1/4 of the price would be. That makes 1/4 of the price $19,631.15 So really you could just do $78,524.60 x2 to figure out the 2x which is $157,049.20 and then do $19,631.15 x3 to figure out the 3/4 amount which is $58,893.45. Then add the two numbers to get $215, 942.65
Answer:
The area is 64squared units
Step-by-step explanation:
Given
![E = (4,4)](https://tex.z-dn.net/?f=E%20%3D%20%284%2C4%29)
![F = (-4,4)](https://tex.z-dn.net/?f=F%20%3D%20%28-4%2C4%29)
![G = (-4,-4)](https://tex.z-dn.net/?f=G%20%3D%20%28-4%2C-4%29)
![H = (4,-4)](https://tex.z-dn.net/?f=H%20%3D%20%284%2C-4%29)
Required
The area of the polygon
First, we plot the given coordinates on a plane (See attachment)
From the attachment, we can see that the 4 coordinates make up a square.
Where
![EF = FG = GH = GE = 8\ units](https://tex.z-dn.net/?f=EF%20%3D%20FG%20%3D%20GH%20%3D%20GE%20%3D%208%5C%20units)
So, the area is:
![Area = EF^2](https://tex.z-dn.net/?f=Area%20%3D%20EF%5E2)
Substitute
for ![EF](https://tex.z-dn.net/?f=EF)
![Area = 8^2](https://tex.z-dn.net/?f=Area%20%3D%208%5E2)
![Area = 64](https://tex.z-dn.net/?f=Area%20%3D%2064)
<em>Hence, the area is 64 squared units</em>