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3 years ago

4x + 9y = 4

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

x=101/65, y=-16/65. (101/65, -16/65).

Step-by-step explanation:

4x+9y=4

9x+4y=13

----------------

9(4x+9y)=9(4)

-4(9x+4y)=-4(13)

------------------------

36x+81y=36

-36x-16y=-52

----------------------

65y=-16

y=-16/65

4x+9(-16/65)=4

4x-144/65=4

4x=4+144/65

4x=404/65

x=(404/65)/4=101/65

x=101/65, y=-16/65.

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3 years ago

What is the quotient of 2 1/9÷3 4/5

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Answer:

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Step-by-step explanation:

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3 years ago

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So far, Ricardo has scores of 13, 17, 19 and 21 points for the first four rounds of a dice game. What does he need the total sco

posledela

Answer:

40 points

Step-by-step explanation:

The score for the first four rounds of the game is 13, 17, 19, and 21 points.

Let $S_5$ and $S_6$ be the scores of the fifth and sixth games respectively in order to achieve an average score of 20 points per round for all six rounds.

$\text{Average score} = \frac{\text{Sum of the scores of all the rounds}}{\text{Total number of the rounds}}$

$\Rightarrow 20=\frac{13+17+19+21+S_5+S_6}{6}$

$\Rightarrow 20\times6=80+S_5+S_6$

$\Rightarrow S_5+S_6=120-80=40.$

Hence, the combined score of the fifth and sixth rounds are 40 points.

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