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Over [174]
3 years ago
6

8 (3x - 1) = 2 (9 – 7x)

Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

8 (3x - 1) = 2 (9 – 7x)

24x - 8 = 18 - 14x

24x + 14x - 8 = 18 -14x + 14x

38x - 8 = 18

38x - 8 + 8 = 18 + 8

38x = 26

38x / 38 = 26 / 38

x = 13/19  

Step-by-step explanation:

1. distribute both sides

2. add 14x to both sides

3. add 8 to both sides

4. divide both sides by 38 to get x

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Find the volume of the given prism. Round to the nearest tenth if necessary.
Novay_Z [31]

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

Area=\dfrac{1}{2}\times base\times height

So, the area of base of the prism is:

Area=\dfrac{1}{2}\times 1\times 2

Area=1

Now, the volume of the prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

Substituting B=1,h=17, we get

V=(1)(17)

V=17

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).

7 0
3 years ago
FREE POINT AND BRAINLIEST SO WHO EVER ANSWERS FIRT THEY GET BRAINLIEST AND ALSO 100 POINTS
Tpy6a [65]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the followi
Svet_ta [14]

Using statistical concepts, we have that:

  • a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.
  • b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

<h3>Range and standard deviation:</h3>
  • The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.
  • The standard deviation of a data-set is given by the <u>square root of the  sum of the difference squared of each observation and the mean, divided by the number of observations</u>.

Item a:

  • The lowest value is of 0.
  • The highest value is of 6.

Hence:

The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

Item b:

The mean is:

M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2

Hence, the standard deviation is:

S = \sqrt{\frac{(0-2)^2+(1-2)^2+(4-2)^2+(0-2)^2+(0-2)^2+(6-2)^2+(3-2)^2}{7}} = 2.2

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

You can learn more about range and standard deviation at brainly.com/question/11729451

7 0
2 years ago
X²-9\x-3 explain why x doesnt = 3
iVinArrow [24]
\dfrac{x^2-9}{x-3}

For x=3, the denominator is equal to 0 and you can't divide by 0.
5 0
3 years ago
Why do you multiply by a power of 10 when writing a repeating decimal as a rational number
oee [108]

The idea is to shift the number enough so that you can cancel the repeating digits by subtraction.

_____

Example

0.181818_18 multiplied by 100 gives

18.181818_18

Subtracting the original number gives

18.000000_00 . . . . . . all the repeating digits have been eliminated

When you multiply by 100 and subtract 1 times the original, you have multiplied by 99. Thus the value of the original number is 18/99 or 2/11.

4 0
3 years ago
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