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EastWind [94]
3 years ago
5

2x+3y=13 4x-y=-2 solve the simultaneous equation

Mathematics
2 answers:
dangina [55]3 years ago
8 0

Answer:

cos ( 390 )

  sin ( 330 )

− 4  cot  ( − 45 )

Step-by-step explanation:

Digiron [165]3 years ago
5 0

Answer:

(0.5, 4 )

Step-by-step explanation:

2x + 3y = 13 → (1)

4x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

12x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

14x + 0 = 7

14x = 7 ( divide both sides by 14 )

x = \frac{7}{14} = \frac{1}{2} = 0.5

Substitute x = 0.5 into either of the 2 equations and solve for y

Substituting into (1)

2(0.5) + 3y = 13

1 + 3y = 13 ( subtract 1 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

solution is (0.5, 4 )

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You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
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X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
4 0
4 years ago
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The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
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Answer:

I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.

Step-by-step explanation:

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4 years ago
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4 years ago
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Alexxandr [17]

Answer:

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