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kozerog [31]
3 years ago
5

What are the solutions of |3x + 2| > 9?

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Absolute value means the distance the number zero.

(3x+2) is (3x+2) from 0.

So right now, 3x+2>9, you have to get rid of the 2 on the left side (because you don't want the variable and the constant on the same side) .

Subtract 2 from the left side and 2 from the right.

Now it is 3x > 9-2

9-2=7

3x > 7

♡ Hope this helps! ♡

❀ 0ranges ❀

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On 3 and 4, please answer this two question
Hunter-Best [27]

Answer:

3) ½ chance

4) 60 times

Step-by-step explanation:

<h3><u><em>3) Theoretically, if the spinner is spun 150 times</em></u></h3><h3><u><em>how many times would you expect to get an</em></u></h3><h3><u><em>even number?</em></u></h3>

<u><em></em></u>

There are 12 equal sections, getting an even numbers is a ½ chance. ( same as odd numbers)

The probability is ⁶⁄₁₂ or ½.

In addition, this is theoretical probabilty, it doesn't require experiments.

<h3><u><em>4) Based on the experiment, if the spinner is</em></u></h3><h3><u><em>spun 150 times, how many times would you</em></u></h3><h3><u><em>expect to get an even number?</em></u></h3>

Getting a 2: ⁴⁄₆₀ or ¹⁄₁₅

Getting a 4: ³⁄₆₀ or ¹⁄₂₀

Getting a 6: ⁷⁄₆₀

Getting a 8: ³⁄₆₀ or ¹⁄₂₀

Getting a 10: ⁵⁄₆₀ or ¹⁄₁₂

Getting a 12: ²⁄₆₀ or ¹⁄₃₀

Chance of picking a even number using 60 tries:

⁴⁄₆₀ + ³⁄₆₀ + ⁷⁄₆₀ + ³⁄₆₀ + ⁵⁄₆₀ + ²⁄₆₀ = ⁴ ⁺ ³ ⁺ ⁷ ⁺ ³ ⁺ ⁵ ⁺ ²⁄₆₀ = ²⁴⁄₆₀ or ⅖

Picking a even number using 150 tries:

⅖ · 150 = 60 times

5 0
3 years ago
The Martinez family walked three over five of a mile in three over eight of an hour. What is their unit rate in miles per hour?
Vikki [24]

Answer:

three-fifths over three-eights equals one and three-fifths miles per hour

Step-by-step explanation:

  • The martinez family walked three over five of a mile; this means they walked 3/5 of a mile.
  • They walked such distance in in three over eight of an hour, this means 3/8 of an hour.

To find the rate in miles per hour, we have to divide 3/5 divided 3/8.

\frac{3}{5} /\frac{3}{8}

TO make division of fraction, we must invert the second fraction and multiply them:

\frac{3}{5} *\frac{8}{3} =\frac{8}{5}

The ratio is 8/5 miles per hour. In the answer given it is expressed as a mixed numer 1 3/5 that is equal to 8/5.

To transform a fraction to a mixed number, you have to divide numerator by denominator. Explanation is in figure attached.

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Olin [163]

the circumference will double

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Answer:

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Step-by-step explanation:

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Be sure to draw two ovals around the lists below:


Inputs              Outputs

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11   -----------------> (POINTS DIAGONAL TO 2)                      

15 -----------------> 12        

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3 years ago
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the answer is simple and easy. why do you ask such question.

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4 years ago
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