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Zielflug [23.3K]
2 years ago
13

To get an A in a course, you must have an average of at least 90% on four tests worth 100 points each. Your scores so far are 85

, 94, and 84. What must you score on the fourth test to get an A in the course?
Mathematics
1 answer:
kondaur [170]2 years ago
6 0

Answer:

A score of 117 is needed, which Is not possible since the test is over 100.

Step-by-step explanation:

The other 3 scores are 85, 94,84 . Let's x be the 4th score he must score.

Therefore ( 85 + 94 + 84 + X)/4 =95

Then 263+X /4 =95

Cross mutiplying 4*95=263+X

Therefore X= 380-263

X= 117 which is not possible since the test score is over 100.

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Solve the following system of equations for all three variables.
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Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

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Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

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                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

     3y   + 20 = 8

               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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