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vagabundo [1.1K]
3 years ago
9

You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the

Mathematics
1 answer:
Ket [755]3 years ago
6 0
24% is the probity sorry just need points
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The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.
ella [17]
Answer:   The length of the rectangle is 35 in.

                 The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ; 
 
  that is:   "  A  =  L  *  w  "  ;

A = 980 in²  (given);

ratio of the length to the width is:  " 5 : 4 " (given); 

→   Find the length (L) and the width (w).
_________________________________________________________

→  980 in²  =  (5x) * (4x) ; 

in which:  " 980 in² " is the area of the triangle; 

                 " 5x" = the length (L) of the rectangle, for which we shall solve; 

                 " 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for  "5x" and "4x" (the "length" and the "width", respectively);  by plugging in the solved value for "x" ; 
_______________________________________________________

   →  980 in²  =  (5x) * (4x) ; 

   ↔   (5x) * (4x) = 980 in²  ; 

   →   (5x) * (4x) = (5) * (4) * (x) * (x)  = 20 * x² = 20x² ;

   →  20x²  =  980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

   →  2x² = 98 ; 

Now, divide each side of the equation by "2" ;

   → 2x² / 2  =  98 / 2 ; 

to get:  

→  x² = 49 ; 

Now, take the "positive square root" of each side of the equation;  (since a "length or width" cannot be a "negative value") ; 
    to isolate "x" on one side of the equation; & to solve for "x" ; 

→  ⁺√(x²) = √49 ; 

to get:

→  x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ; 

→  The length is:  "5x" ;   

     5x = 5(7) =  " 35 in " ; 
______________________________________________________
→  The width is:  "4x" ; 

     4x =  4(7) =  "28 in."
______________________________________________________
Let us check our answer:

    →  A = L * w ; 

    →  980 in² = ?  35 in. * 28 in. ?? ; 

   Using a calculator:  "35 * 28 = 980" .  Yes!   ;
____________________________________________________
 { Also note:  " in * in = in² " ?  Yes! } .
____________________________________________________
3 0
3 years ago
There are 2 grams of fat in 1 pound of chicken. there are 9 grams of fat in 4.5 pounds of chicken. How many grams of fat would b
kramer

Answer:

There will be 20 grams of fat in 10 pounds of chicken.

Step-by-step explanation:

Based of the pattern you can tell that the Grams of fat will always be double the amount of pounds.

2 grams of fat in 1 pound

9 grams in 4.5 pounds

So:

10 * 2 = Grams of fat

10 * 2 = 20 Grams of fat.

So there will be 20 grams of fat in 10 pounds of chicken.

5 0
3 years ago
There is 1⁄3 gallon of water in a 3-gallon container. What fraction of the container is filled? (There’s also a picture :). )
amm1812

Answer:

There is 1/3 gallon of water in a 3 gallon container. What fraction of the container is full? ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH.

4 0
3 years ago
Which equation models the cost of the tickets?
Gelneren [198K]
A.


10.50 divided by 2 is 5.25. meaning that each ticket is 5.25
4 0
2 years ago
Which of the following values of y will result in a true statement when substituted into the given equation?
strojnjashka [21]

Answer:

A. -0.8

Step-by-step explanation:

non of the other answers will work because they are positive.

5 0
2 years ago
Read 2 more answers
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