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Fed [463]
3 years ago
11

Help please!! 1. Solve the system of equations. x + 5y = 3 3x - 2y = 6

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

x = 9/2     y = 0

Step-by-step explanation:

2/3x + 5y = 3            5y = -2/3x + 3                y = -2/15x + 3/5

4/3x - 2(-2/15x + 3/5) = 6

4/3x + 4/15x - 6/5 = 6

8/5x - 6/5 = 6

8/5x = 36/5

x = 9/2

2/3(9/2) + 5y = 3

3 + 5y = 3

5y = 0

y = 0

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Please give a good answer :)
Alex

Answer:

P(4≤x≤7) = 2/3

Step-by-step explanation:

We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

Adding the outcome together, the sample space (S) becomes:

2 3 4 5 6 7

3 4 5 6 7 8

4 5 6 7 8 9

5 6 7 8 9 10

6 7 8 9 10 11

7 8 9 10 11 12

Next, we shall obtain the event of 4≤x≤7. This is illustrated below:

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

4 5 6 7

Finally, we shall determine P(4≤x≤7). This can be obtained as follow:

Element in the sample space, n(S) = 36

Element in 4≤x≤7, n(4≤x≤7) = 24

Probability of 4≤x≤7, P(4≤x≤7) = ?

P(4≤x≤7) = n(4≤x≤7) / nS

P(4≤x≤7) = 24/36

P(4≤x≤7) = 2/3

4 0
3 years ago
What is the value of ?<br> –34<br> –2<br> 10<br> 34
Zolol [24]

Answer:

-2

Step-by-step explanation:

Remember to follow PEMDAS. First solve parenthesis, power, multiplication, then add.

(5 - 2) = 3

(-4)² = (-4)(-4) = 16

3(-6) = -18

16 + (-18) = 16 - 18 = -2

-2 is your answer.

~

7 0
3 years ago
Read 2 more answers
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Zepler [3.9K]

Answer:

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Step-by-step explanation:

Hope it helps.

6 0
2 years ago
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Alchen [17]

Answer:

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Step-by-step explanation:

First all the angles add up to 360°. You would subtract 180 from the 360 because of the 2 right angles. That leaves you with 180. Then 180-102.3 to get 77.7°, your answer.

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Answer:

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Step-by-step explanation:

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