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geniusboy [140]
3 years ago
13

Rueben has scored 81 , 89 , 90 , 83 , and 77 on his previous five tests. what score does he need on his next test so that his av

erage (mean) is 82 ?
Mathematics
1 answer:
lawyer [7]3 years ago
7 0
Let x = the next score

If    (81 + 89 + 90 + 83 + 77 + x)  ÷  6 = 82

  ⇒  420 + x = (82 × 6)

  ⇒  x = 492 - 420
     
       x = 72

Thus to get an 82 average he need to get 72 on his next test.
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if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
ELEN [110]
Answer:  The number is:  "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
___________________________________________
Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
____________________________________________________
 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
____________________________________________________
Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
 __________________________________________________    
6 0
3 years ago
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim
Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or 4\ \text{inch}^3.

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or \text{cm}^3.

4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3

So, the volume of the ball is 65.548 cm³.

7 0
3 years ago
The graph of the w=equation x+3y=6 intersects the y axis at the point whose coordinate are
nevsk [136]
Y intercept = when x = 0
Plug in x = 0
0 + 3y = 6
3y = 6, y = 2

Solution: a, (0,2)
8 0
3 years ago
Find axis of symetry y=2x^2+4x-10
Tema [17]
The axis of symmetry is x=-1
6 0
3 years ago
The German Club is planning a ski trip. The club will pay $500 toward the trip, and each member going on the trip will pay $115.
Vedmedyk [2.9K]
500 - y x 115= 2185.

y = 19.
3 0
3 years ago
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