Answer:
= 1/2
Step-by-step explanation:
- 1/8 + 3/8 - 5/8 + 7/8 = ?
2/8 - 5/8 +7/8
-3/8 + 7/8
= 4/8 --> (simply) =1/2
Hope it was helpful! If you are unsure about something or my answer is wrong then please let me know so I fix my mistakes! Also a good website to use is Desmos Scientific Calculator to check your answer! 
 
        
                    
             
        
        
        
Answer:
5
Step-by-step explanation:
first term + (10-1)7=68
first term= 68- 63=5
 
        
             
        
        
        
If water and oil are combined in a container, the resulting liquid is C.emulsion. 
        
             
        
        
        
Given problems; 
   1. Factor;  x²+5x-24
To factor this equation, we must understand that this is a quadratic equation. 
A quadratic equation usually has two roots. 
             x²+5x-24 = 0
- Then find two numbers whose product is -24 and their sum is +5
   the numbers are  +8 and -3
  then replace 5x with the number; 
         x² + 8x - 3x - 24  = 0
Now factorize; 
      x(x +8) - 3(x + 8) = 0 
         (x-3)(x+8)  = 0
Factoring gives (x-3)(x+8) 
2. Factor 2n² - 5n -3;
Equate to zero; 
    2n² - 5n -3 = 0
Find the number whose sum is -5 and the product gives -6( 2 x -3); 
       the number is -6 and +1; 
    2n² - 6n + n -3 = 0 
    2n(n-3) + 1(n-3) = 0 
      (2n + 1)(n-3) = 0 
The factor of the equation is (2n + 1)(n-3).
 
        
             
        
        
        
Answer:
20ft²
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 5W .......equation 1
2L + 2W = 24 ........equation 2
To find the width
Substituting equation 1 into equation 2, we have;
2(5W) + 2W = 24
10W + 2W = 24
12W = 24
W = 24/12
Width, W = 2 ft
To find the length;
Substituting the value of "W" into equation 1, we have;
L = 5W
L = 5*2 
L = 10 ft
To find the area of the rectangle;
Area = LW
Area = 10*2
<em>Area = 20 ft²</em>
Therefore, the deck's area is 20 feet square.