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andreyandreev [35.5K]
3 years ago
14

Which value of x makes the inequality 2(8 – x) < 4 true? A. x = –16 B. x = –9 C. x = 4 D. x = 10

Mathematics
2 answers:
Alik [6]3 years ago
8 0

2(8 - x) < 4

Instead of testing each individual value of the inequality, let's solve it to determine which value makes it true.

Let's start by dividing both sides by 2.

2(8 - x)/2 < 4/2

8 - x < 2

Subtract both sides by 8

8 - x - 8 < 2 - 8

-x < -6

Multiply/Divide both sides by -1 (either one works)

[NOTE: Remember to reverse the inequality sign when dividing/multiplying by a negative number!]

x > 6

Thus, any x value that's greater than 6 will make the inequality true. That would be answer choice D. Happy studying~

myrzilka [38]3 years ago
6 0

Answer:

10

Step-by-step explanation:

If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B

lets try plugging in 4 as x to test answer C:

2(8-4)

2(4)= 8

8 is greater than 4, therefore C is wrong.

Lets try 10 as X (answer D):

2(8-10)

2(-2)

-4

We know that -4 is less than 4, therefore it makes the inequality true! :)

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What is the lcd of: 8/9x 2/3x=1/9x 45?
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3 years ago
In answering a question on a multiple-choice test, a student either knows the correct answer or guesses it. Let 0.7 be the proba
Dahasolnce [82]

Answer:

The probability is 0.9211

Step-by-step explanation:

Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.

So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:

P(K/C)=P(K∩C)/P(C)

Where P(C) = P(K∩C) + P(G∩C)

Then, the probability P(K∩C) that the student know the answer and it is correct is:

P(K∩C) = 0.7

On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:

P(G∩C) = 0.3*0.2 = 0.06

Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.

Therefore, The probability P(C) that the answer is correct is:

P(C) = 0.7 + 0.06 = 0.76

Finally, P(K/C) is:

P(K/C) = 0.7/0.76 = 0.9211

7 0
3 years ago
Please help!!! This is one question with a couple parts I am extremely confused and it would be amazing if you could show steps!
Dovator [93]

Answer:

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

  |n -11|

Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

__

b) The equation resolves to two:

  • n -11 = 5
  • n -11 = -5

Adding 11 to both sides of both equations gives ...

  • n = 16
  • n = 6

The two solutions are n=6 and n=16.

_____

<em>Comment on the question statement</em>

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

4 0
3 years ago
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