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joja [24]
3 years ago
13

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Mathematics
2 answers:
alisha [4.7K]3 years ago
7 0
Hey!


To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.

<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2

<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2

Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.

<em>Old Equation :</em>
3x - 12 ≥ 5x + 2

<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14

Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.

<em>Old Equation :</em>
3x ≥ 5x + 14

<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14

Now we must inverse the inequality. To do that we multiply both sides by -1.

<em>Old Equation :</em>
-2x ≥ 14

<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14

Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.

<em>Old Equation :</em>
2x ≤ -14

<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7

Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.

Hope this helps!


- Lindsey Frazier ♥
belka [17]3 years ago
5 0

Answer:

x \leq -7

(-∞, -7)

Step-by-step explanation:

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90% as a decimal is .9 and then as a fraction in simplest form is 9/10
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5 0
3 years ago
Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble
liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0
4 years ago
What is 59.36 Repeated as a fraction
Bas_tet [7]

Answer:

1484/25 is 59.36 as a fraction

3 0
4 years ago
If peter can type 80 words in 2 minutes how many words can he type in 5 minutes if he continues to type at the same rate. Show a
klasskru [66]

Answer:

200 words are peter can be type in 5 minutes.

Step-by-step explanation:

As given

If peter can type 80 words in 2 minutes .

i.e

80 words = 2 minutes

Now words type in 1 minutes.

1\ minutes = \frac{80}{2}\ words

1 minutes = 40 words

Now calculate number of words are type in 5 minutes.

Words are type in 5 minutes = Number of minutes × Number of words are type in 1 minutes.

Number of minutes = 5 minutes

Number of words are type in 1 minutes = 40 words

Words are type in 5 minutes = 5 × 40

                                                = 200 words

Therefore  200 words are peter can be type in 5 minutes.

4 0
4 years ago
2(d − 6) − 3 = 1 solve for d
andrey2020 [161]

Answer:

<em><u>d = 8</u></em>

Step-by-step explanation:

2(d -6) - 3 = 1

           +3  +3

2(d-6) = 4

/2          /2

(d-6) = 2

  +6  +6

(d) = 8

<u><em>d = 8</em></u>

           

5 0
3 years ago
Read 2 more answers
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