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mezya [45]
2 years ago
15

Darla is playing a computer game to help her learn about science. her scores for the first six games were 9, 12, 10, 8, 14, and

15. how many points does she need to earn on the next game so that her average score for all games is 12 points?
Mathematics
2 answers:
SpyIntel [72]2 years ago
8 0
<h2>Answer:</h2>

The number of points she earned in the next game is:

                           16

<h2>Step-by-step explanation:</h2>

The scores of the six games is given by:

            9, 12, 10, 8, 14, and 15.

Now, let the score in the next game be: x

We know that the average of the scores is the sum of all the score to the total number of scores.

Here the sum of all the scores is:

9+12+10+8+14+15+x=68+x

Also, number of scores= 7

Hence, we have:

\dfrac{68+x}{7}=12\\\\i.e.\\\\68+x=12\times 7\\\\68+x=84\\\\x=84-68\\\\x=16

Greeley [361]2 years ago
7 0
Darla would have to score 16 on the next game
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HELP What is the area of this figure?
Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
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→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
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Now, we add the areas of BOTH the triangle AND the square:
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        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
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4 0
3 years ago
Geometry Helps please<br> (Only correct Answers only please) Thanks!
nlexa [21]

Answer:

301.44 cubic units

Step-by-step explanation:

volume \: of \: cone \\ \\   =  \frac{1}{3}\pi {r}^{2}  h \\  \\  =  \frac{1}{3}  \times 3.14 \times  {(6)}^{2}  \times 8 \\  \\  = \frac{1}{3}  \times 3.14 \times 36 \times 8  \\  \\  = 3.14 \times 12 \times 8 \\   \\ = 301.44 \:  {units}^{3}  \\  \\  \red{ \bold{volume \: of \: cone = 301.44 \:  {units}^{3}}}

7 0
3 years ago
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butalik [34]
A - 2x^2 + 2x - 2

To find this, set up the equation:

(-x^2 + 6x - 1) + ( 3x^2 - 4x - 1)

With this, you need to combine like terms while taking into consideration the addition sign.

-x^2 + 3x^2 = 2x^2
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- 1 + - 1 = - 2

Hope this helps!




7 0
3 years ago
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