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aleksley [76]
3 years ago
6

What's the variable for 3(5x + 2)=8x + 20

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

3(5x+2)=8x+20

15x+6=8x+20

15x-8x=20-6

7x=14

then you divide both sides by 2

The answer is 2.

Tanzania [10]3 years ago
5 0
<span>3(5x + 2)=8x + 20
Use distributive property
15x + 6=8x + 20
Subtract 8x from 15x so that the variable x is only on one side.
7x + 6= 20
Subtract 6 from both sides
7x = 14
Divide 7 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x= 2</span>
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A 13 card hand is dealt from a well-shuffled standard 52-card deck. What is the probability that 4 red cards and 9 black cards a
GaryK [48]

The probability that 4 red cards and 9 black cards are dealt is 0.0735.

Let E be the event that 4 red cards and 9 black cards are dealt.

According to the given question.

Number of card hand that is dealt from a well-shuffled standard 52- card deck is 13

Total number of red cards in a well shuffled card deck = 26

Total number of black cards in a well shuffled card = 26

Now, the number of ways to dealt 13 cards = ^{52} C_{13}

Number of ways to dealt 9 black cards = ^{26}C_{9}

And, the number of ways to dealt 4 red cards = ^{26} C_{4}

As, we know that the probability of an event is calculated by taking the ratio of the favorable outcomes to the total number of outcomes.

Therefore, the the probability that 4 red cards and 9 black cards are dealt is given by

P(E) = \frac{^{26}C_{9}\times \ ^{26}C_{4}    }{^{52}C_{13}  }

⇒ P(E) = \frac{\frac{26!26!}{9!4!17!22!} }{\frac{52!}{13!39!} }

⇒ P(E) = 0.0735

Hence, the probability that 4 red cards and 9 black cards are dealt is 0.0735.

Find out more information about probability here:

brainly.com/question/14530583

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3 0
2 years ago
Pls help this is hard
ZanzabumX [31]

Answer:

(6,20) because both lines pass through this point

Step-by-step explanation:

To solve this you can use the substitution method.

Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.

Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.

Once you do this you should now have 14 = 2x+2

In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x

You then simplify x by dividing both sides by 2. This will get you x = 6

Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.

6 + 14 is 20, therefore you're y-value is y = 20

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3 years ago
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USPshnik [31]
What is supposed to be the underlined digit
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​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 685 randomly s
jek_recluse [69]

Answer:

417 is the number of adults that would erase their personal information online if they could, they are the 61%. The complete number is 417,85, but we have to adjust the answer for people.

Step-by-step explanation:

To find the answer we need to do a Rule of Three. The Rule of Three is a Mathematical Rule that will help us to solve problems based on proportions.

1. I know that a 685 adults were surveyed, so this is the 100%. 61% say they would erase all of their personal information online if they could, and we don't know the numbre of people in here.

2. So 685 adults _____ 100%

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Here we have to put the same elements in the same columns. Students with studients and percentage with percentage.

3. Now I have to cross these details. I have to multiple 61*685. So:

61*685= 41785

4. Then divide that result by 100.

41785/100= 417,85

5. So 417 is the total number of adults that would .

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4 years ago
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