The Democratic party wanted to have a silver standard
ANSWER:
n = 1.05n divided by 105 times 100
OR
n = (the number of students at the END of the school year) divided by 105 times 100
WORKING OUT:
1.05n = 651 students
1n = 651/105 times 100 = ANSWER
Answer:
6 × 8 = 48
Step-by-step explanation:
6 sets of 8 objects, to get the answer you have to multiply
6×8 = 48
The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: ![\frac 12 \times 25](https://tex.z-dn.net/?f=%5Cfrac%2012%20%5Ctimes%2025)
Let the sides of Juan's triangle be x, y and z. So:
![x = 5 \\ y = 8\\ z = 12](https://tex.z-dn.net/?f=x%20%3D%205%20%5C%5C%20y%20%3D%208%5C%5C%20z%20%3D%2012)
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
![J =x +y +z](https://tex.z-dn.net/?f=J%20%3Dx%20%2By%20%2Bz)
This gives:
![J =5 + 8 + 12](https://tex.z-dn.net/?f=J%20%3D5%20%2B%208%20%2B%2012)
![J =25](https://tex.z-dn.net/?f=J%20%3D25)
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
![S = \frac 12J](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%2012J)
Substitute 25 for J
![S = \frac 12 \times 25](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%2012%20%5Ctimes%2025)
Hence, the numerical expression for the perimeter of Stephanie's triangle is: ![\frac 12 \times 25](https://tex.z-dn.net/?f=%5Cfrac%2012%20%5Ctimes%2025)
Read more about perimeters at:
brainly.com/question/11957651
Answer:
See below, please
Step-by-step explanation:
The right:
![{(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba =](https://tex.z-dn.net/?f=%20%7B%28y%20%2B%20c%29%7D%5E%7B2%7D%20%20-%20b%20%5Ctimes%20%28x%20%2B%20a%29%20%5C%5C%20%20%3D%20%28%20%7By%7D%5E%7B2%7D%20%20%2B%202yc%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%29%20-%20bx%20-%20ba%20%20%3D%20%20)
![= {y}^{2} - bx + 2cy + {c}^{2} - ab](https://tex.z-dn.net/?f=%20%3D%20%7By%7D%5E%7B2%7D%20%20-%20bx%20%2B%202cy%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%20-%20ab)
The left:
![= {y}^{2} - 7x - 18y + 109](https://tex.z-dn.net/?f=%20%3D%20%20%7By%7D%5E%7B2%7D%20%20-%207x%20-%2018y%20%2B%20109)
So, after comparing the right side and the left side of this equation, we know
1)
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
2)
![2c = - 18 \\ so \\ c = - 9](https://tex.z-dn.net/?f=2c%20%3D%20%20-%2018%20%5C%5C%20so%20%5C%5C%20c%20%3D%20%20-%209)
3)
![{c}^{2} - ab = 109](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20-%20ab%20%3D%20109)
So,
![a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B%20%7Bc%7D%5E%7B2%7D%20%20-%20109%7D%7Bb%7D%20%20%3D%20%20%5Cfrac%7B%20%7B%20%28-%209%29%7D%5E%7B2%7D%20%20-%20109%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B%20-%2028%7D%7B7%7D%20%20%3D%20%20-%204)