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lutik1710 [3]
3 years ago
7

Let x be a positive number such that the distance between x and -3.8 on a number line is exactly 2 times the distance between x

and 1.7. What is the value of x? Express your answer as a decimal to the nearest tenth.
I know the answer is 7.2 but idk why. HELP PLZZ
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

x = 7.2

Step-by-step explanation:

Let x be a positive number such that the distance between x and -3.8 on a number line is exactly 2 times the distance between x and 1.7.

Now. the distance between - 3.8 and x will be (x + 3.8) and the distance between x and 1.7 will be (x - 1.7) {Since x is a positive number}

(Assuming x is greater than 1.7}

Given that, x + 3.8 = 2(x - 1.7)

⇒ x + 3.8 = 2x - 3.4

⇒ x = 7.2 (Answer)

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Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
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Given that o<span>ne Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of </span>"Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

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<span>Jeff is sleeping is True
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Therefore, the truth value of "</span><span>Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.



Part B:

</span>The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Jeff is sleeping is True
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<span>Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.</span>

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.



Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

<span>Jeff is sleeping is True
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<span>Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

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Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
6 0
3 years ago
Read 2 more answers
Can someone please help me with these? I'm giving 100 points so please.
Cerrena [4.2K]

Answer:

1. -2\frac{9}{12}

2. 10\frac{1}{8}

3. 3

4. -1 > x

Step-by-step explanation:

1.

-\frac{33}{12}  \\12 * 2 = 24\\33 - 24 = 9\\-2\frac{9}{12}

2.

10 \frac{1}{8} / \frac{3}{4} = 13\frac{1}{2} \\13\frac{1}{2} + \frac{1}{2} = 14

3. All share the factor of 3

4. Open circle is used for < (less than) or > (greater than). Shade to the right for > or ≥.

I hope this helps! May I please have brainliest? :)

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