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ozzi
3 years ago
12

Solve for x 6 ( x − 2 ) = 8 ( x − 9 )

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0
X = 30 aaaaaaaaaaaaaaaaaaa
valentinak56 [21]3 years ago
4 0

Answer:

x = 30

Step-by-step explanation:

in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )

we will first of all open the brackets and then evaluate for the value of x by combining the like terms.

from 6 ( x − 2 ) = 8 ( x − 9 )

6x -12 = 8x -72

combine the like terms

6x - 12 + 72 = 8x

-12 + 72 = 8x -6x

60 = 2x

divide both sides by the coefficient of x which is 2

60/2 = 2x/2

30 = x

x = 30

therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30

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Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
____% of 25 is 3 i need help with this paperany help with this papers ​
ra1l [238]

Answer: 12

Step-by-step explanation:

3 0
3 years ago
The age of a father is 3 times the age of his son. 5 years ago, the father was 4
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

x = father's age

y = son's age

Nowadays:

3x = y

5 years ago:

4(x - 5) = y - 5

4x - 20 = y - 5

4x = y + 15

I hope I've helped you.

3 0
3 years ago
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

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

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)

Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0
3 years ago
Steve rounds his favorite number to the nearest hundred to get 400.
Tcecarenko [31]

Answer:

whats the question???

8 0
3 years ago
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