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Mice21 [21]
3 years ago
12

I am really bad at Math, does anyone know how many solutions are in these 1. 2x - x + 7 = x +3 + 4 2. -2(x + 1) = -2x + 5 3. 4x

+ 2x + 2 = 3x - 7 4. 4(2x + 1) = 5x + 3x + 9 5. X + 2x + 7 = 3x - 7
Mathematics
1 answer:
timama [110]3 years ago
3 0

Step-by-step explanation:

1. 2x - x + 7 = x +3 + 4

Collecting like terms;

2x - x - x = 3 + 4 - 7

2x = 0

x = 0

2. -2(x + 1) = -2x + 5

Expanding the bracket;

- 2x - 2= - 2x + 5

Collecting like terms;

- 2x + 2x = 5  + 2

0 = 7

It has no solution

3. 4x + 2x + 2 = 3x - 7

Collecting like terms;

4x + 2x + 3x = - 7 -2

9x = -9

x = -1

4. 4(2x + 1) = 5x + 3x + 9

Expanding the bracket

8x + 4 = 5x + 3x + 9

Collecting like terms

8x - 5x - 3x = 9 - 4

0 = 5

It has no solution

5. X + 2x + 7 = 3x - 7

Collecting like terms

x + 2x - 3x = - 7 - 7

0 = - 14

It has no solution

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Relationships between means, standard deviations, X values,and z-scores
Vlada [557]

Answer:

a) The average salary of firefighters in Portugal is $583.

b) The standard deviation of the salary of firefighters in Portugal is $319.8

Step-by-step explanation:

We are given the following in the question:

a) Standard Deviation, σ = $145.80

We are given that the distribution of salary of professor is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

A salary of $510.10 has a z-score of -0.50.

Putting values, we get,

-0.50 = \displaystyle\frac{510.10-\mu}{145.80}\\\\\mu = 0.50(145.80) + 510.10\\\Rightarrow \mu = 583

Thus, the average salary of firefighters in Portugal is $583.

b) Mean, μ = $2,132

We are given that the distribution of salary of computer programmers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

The salary of $2,291.90 has a z-score of +0.50

Putting values, we get,

0.50 = \displaystyle\frac{2291.90-2132}{\sigma}\\\\\sigma= \frac{2291.90-2132}{0.50}\\\\\sigma = 319.8

Thus, the standard deviation of the salary of firefighters in Portugal is $319.8

6 0
4 years ago
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Answer:

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Step-by-step explanation:

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Alexis has a steady babysitting job over the summer. She starts out with $50 by the end of the first week and earns $30 each wee
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It will take Alexis 5 weeks. If she starts off with $50, she will still need $150. Then, she earns $30 each week every week. Making $30 for 5 weeks will get Alexis to $150, because 30×5 is 150. Then once you add in the money she started with you will get $200. $150+$50=$200.
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50 - (14 + 12 +2(5) + 2(2) + 3)
storchak [24]

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

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Here are the answers for 10 and 12

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