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dolphi86 [110]
3 years ago
11

A cola company decides to test five different brands of soft drink. The different brands have been labeled F, G, H, I, and J. Th

e company decides to compare each brand with the other brands by pairing them together. How many different pairs will result from selecting two different brands at a time?
Mathematics
1 answer:
Zina [86]3 years ago
3 0
Cola F can go with G,H,I,J (4 pairs) - Cola G can go with H,I,J (3 pairs) - Cola H can go with I,J (2 pairs) - Cola I can go with J (1 pair)
As a result there are ten total pairs.
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What is the solution to the system of equations?
sineoko [7]

Answer:

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Step-by-step explanation:

3 0
3 years ago
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Mary walks 4 miles north and then turns and walks 5 miles west. How far is she from her original starting point?
dusya [7]
Answer:  6.403 miles; or, write as:  6.403 mi.  .
__________________________________________________
Explanation:
_________________________________________________





                                5
--------------------------------------------
`                             right angle   |_ |
   `          (right triangle )                 |
         `                                               |    4 
             `                                           |
                      `    
       "c"                        `                  \        
 (hypotenuse)                          Starting point
                     
__________________________________________________
Since we have a "right triangle, we solve for "c"; using the 
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→  a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ; 
____________________________
Plug these known values into our equation:
________________________________________
 → 4² + 5² = c² ; 
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 → 16 + 25 = c² ;  ↔  c² = 16 + 25 ;
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 → c² = 41 ; 
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 → Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative"; 
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 → √(c²) = √(41) ; 
_____________________________
 → c =  √41 ; Use calculator;
________________________________
 → c =  6.40312423743 ; Round to:  

 → c = 6.403 miles; or, 6.403 mi. 
__________________________________________

 

5 0
3 years ago
The length of the rectangle is 3 cm and the width is 5 cm what will the area be?
WINSTONCH [101]

Answer:

15 cm²

Step-by-step explanation:

3(5)=15 cm²

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