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mixer [17]
9 months ago
9

Which of the fractions are equivalent to the fraction below?

Mathematics
1 answer:
uranmaximum [27]9 months ago
7 0

Answer: 2/5 because when you multiply the numerator and denominator of 2/5 by 3, you get 6/15

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Plz help this should be easy and I will give brailiest
oee [108]

Answer:

Step-by-step explanation:

x - represents 1 point shots

(54 - x) - represents 2 point shots

x + 2(54 - x) = 89

x + 108 - 2x = 89

-x + 108 = 89

x = 19 (1 point shots)

54-x = 35 ( 2 point shots)

Test:

19 + 35 = 54 (total shots)

19 x 1 = 19

35 x 2 = 70

70 + 19 = 89 points

5 0
3 years ago
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
please help me answer these 3 questions correctly . u will get 30 pints if you do and the brainlest. please do not answer if you
Marianna [84]

Answer:

6a) B

6b) C

6c) A

7 0
3 years ago
3x+3y=6 and 5x-6y=15
Anna71 [15]
Multiply first equaton by 2 and add to the other equation

6x+6y=12
<u>5x-6y=15 +</u>
11x+0y=27

11x=27
divide both sides by 11
x=27/11


sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus  2 and 5/11 both sides
y=-5/11

x=27/11
y=-5/11
(27/11,-5/11)
7 0
2 years ago
A projected image appears as an isosceles trapezoid.
Komok [63]
7x + 4 + 9x = 180
16x = 176
    x = 11

9x = 9x11 = 99
7x + 4 = 7(11) + 4 = 77 + 4 = 81

<span>in order to form a rectangular image, each angle needs to be equal 90 degreesn

99 - 9 = 90
81 + 9 = 90

answer

</span><span>B. 9°</span>
6 0
3 years ago
Read 2 more answers
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