Answer: 2/3 or 1/3
Step-by-step explanation: If we have a cake that has a total of 12 pieces, and we gave four to someone else we would have 8/12 pieces left. Now if we simplify then we would have 2/3 left.
Alternate explanation: Now if we just want to divide 4/12 then we would have 1/3.
I'm happy to help let me know if I'm wrong!
Area of a rectangle=length x width
You have two rectangles:
First rectangle (the biggest):
length=9 yd
width=12 yd-6 yd=6 yd
Area of the biggest rectangle=(9 yd)(6 yd)=54 yd²
Second rectangle (the smallest)
length=6 yd
width=3 yd
Area of the smallest rectangle=(6 yd)(3 yd)=18 yd²
Area of the ballroom=area of the biggest rectangle + area of the smallest rectangle.
area of the ballroom=54 yd² +18 yd²=72 yd²
Follow PEMDAS.
Parenthesis
Exponents
Multiplication & Division
Addition & Subtraction
Alright, do multiplication first, then division. Then, do subtraction then addition.
Hope this helped!
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
Recall that
where 
is the angle between the vectors 
whose magnitudes are 
, respectively.
We have
