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Svetradugi [14.3K]
3 years ago
8

Solve each system by substitution

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Step-by-step explanation:

{9x+3y=-36

y=-3x-21

9x-9x-36=-36

y=-3x-21

x=0

y=-21

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1/6 is equal to what
Anastasy [175]

1/6 = 0.1666, the last number repeating to infinity, or a repeating decimal.

Hope helps!-Aparri

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3 years ago
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A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0
2 years ago
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Anastasy [175]
The answer would be $9
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3 years ago
What is the total surface area of a square pyramid with a base length of 10 meters and a slant height of 13 meters?
Harlamova29_29 [7]
130 please give Brian
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2 years ago
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Solve for xx. Round to the nearest tenth, if necessary.
jasenka [17]

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

  • 68°+90°+U=180°
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sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

6 0
2 years ago
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