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maria [59]
4 years ago
11

A class made equal teams of 5 for basketball, and equal teams of 6 for vollyball.

Mathematics
1 answer:
Ann [662]4 years ago
6 0
22. each sport needs at least two teams so multiply 5x2 and 6x2 then add the numbers. 10+12=22
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The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.
ycow [4]
Answer:   The area of the rectangle is:  " 77 m² " .

__________________________________________________________
Note:  The formula for the area, "A" of a rectangle:

 →  A  =  L  *  w   ;

                 in which:  
     A = "area (of rectangle)" ; [in units of "m² " ; that is:  "square meters" ] ; 
                                     
     L = length = "(4 + w)" {in units of "meters (m)" } ;  
             
     w = width  {in units of "meters (m)" } ; 
_______________________________________________________

So;  " A = L * w " ;  

Substitute the known expression for the "length, L" ;  & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

              →  A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ; 

 →  P = 2L + 2w  ; 

↔   2L + 2w = P 

 →  2L + 2w  = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is:  "36" (meters) ;  

 →  2L + 2w  = 36 ;

 →  Let us plug in the values for "Length (L)" & "width (w)" ; 

 →  2(w + 4)  + 2w = 36  ; 

So;   (2*w) + (2*4) + 2w = 36 ;  Solve for "w" ;

    →  2w + 8 + 2w = 36 ; 

    → Combine the "like terms" :

         + 2w + 2w = 4w ; 

   →  And rewrite: 

         4w + 8 = 36 ; 

Now, subtract "8" from EACH SIDE of the equation:

         4w + 8 − 8 = 36 <span>− 8 ; 
</span>
to get: 

         4w = 28 ; 

Now, divide EACH SIDE of the equation by "4" ; 
      to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ; 

         4w / 4 = 28 / 4  ; 

           → w = 7 ;   → The "width" of the rectangle is:  " 7 m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
      
           →  L = 11 .  →  The "length" of the rectangle is:  " 11 m " .
___________________________________________________
 
Now, we can find the area, "A", of the rectangle.

 A = L * w  =  11 m * 7 m  =  " 77 m² " .

  →  The area of the rectangle is:  " 77 m² <span>" .
</span>__________________________________________________

To check our answer:
__________________________________________________
 
→  " P = 2L + 2w "  ; 

Given that "P = 36 m" ; 

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
                        "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ; 

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________  

 →  36 m = ?  2L + 2w ?? ;

 →  36 m = ?  2(11 m) + 2(7 m) ?? ; 

 →  36 m = ?  22 m + 14 m ?? ; 

 →  36 m = ?  36 m ?  Yes! 
__________________________________________________
3 0
3 years ago
Please answer <br><br> 1/8 - 1/4 (3 - 1/2) + 2/3 <br><br> And <br><br> 2/9 - 1/6 (8- 2/3) + 1/2
Neko [114]

Answer:

1/6, - 1/2_____________

6 0
3 years ago
paleontologists have put together bones to make a t-rex skull that has a mass of 600 pounds.They just found a new tooth fossil t
erastova [34]
To find the total mass you must first convert 40 oz into lbs. There is 16oz per pound. so 40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull 
5 0
3 years ago
How do you get 6.80 from 2.25 ×2.80
Free_Kalibri [48]

Answer:

answer is 6.3

Step-by-step explanation:

there is no way to get 6.80 from 2.25*2.80 because its answer is 6.3

4 0
3 years ago
1000÷4×719394726267-481626
Andrews [41]
179,848,681,085,124

Pretty sure that's it
6 0
3 years ago
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