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ddd [48]
3 years ago
11

Solve 6x + c = k for x.

Mathematics
2 answers:
Bond [772]3 years ago
7 0
K-c/6

isolate x.
6x = k-c
divide by 6 to get rid of x. --> x = (k-c)/6


Mark brainliest please
Sholpan [36]3 years ago
4 0

Answer:

x = (k - c)/6

Step-by-step explanation:

6x + c = k

First, subtract c from both sides.

6x = k - c

Then, divide by 6 on both sides.

x = (k - c)/6

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Sati [7]

Answer:

Question 1:

  • <u>mean = 13 years</u>

Quesion 2:

  • <u>Percent of empolyees that worked for the company for at least 10 years = 73.3%</u>

Explanation:

Start by presenting the row data neatly for better understanding.

Employee      NumberYears Worked

   1                                8

   2                              13

   3                              15

   4                               3

   5                              13

   6                             28

   7                                4

   8                              12

   9                               4

  10                            26

  11                             29

  12                              3

  13                             10

  14                              3

  15                             17

  16                             13

  17                             15

  18                             15

  19                            23

 20                             13

 21                              12

 22                               1

 23                             14

 24                             14

 25                             17

 26                             16

 27                              7

 28                           27

 29                            18

 30                           24

<u><em>Question 1. Population mean for the number of years worked, </em></u>

You just must add all the numbers on the column of Number of Years Worked and divide by the number of employes:

  • Total of the column Number of Years = 417
  • mean = 417 / 30 = 139/10 = 13.1 ≈ 13 years/employee

<u><em>Question 2. Percent of the employees worked for the company for at least 10 years</em></u>

You should order the column of Number of Years either by increasing or decreasing order.

The list in increasing order of number of years worked is: 1, 3, 3, 3, 4, 4, 7, 8, 10, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 18, 23, 24, 26, 27, 28, 29.

Note that that means that:

  • 1 employee worked 1 year,
  • 3 employees worked 3 years,
  • 2 employees worked 4 years,
  • 1 employee worked 7 years,
  • 1 employee worked 8 years,
  • 1 employee worked 10 years,
  • 2 employees worked for 12 years,
  • 4 employees worked for 13 years,
  • 2 employees worked for 14 years,
  • 3 employees worked for 15 years,
  • 1 employee worked for 16 years,
  • 2 employees worked for 17 years,
  • 1 employee worked for 18 years,
  • 1 employee worked for 23 years,
  • 1 employee worked for 24 years,
  • 1 employee worked for 26 years,
  • 1 employee worked for 27 years,
  • 1 employee worked for 28 years, and
  • 1 employee worked for 29 years.

The number of employees that worked for the company for at least 10 years is 1 + 2 + 4 + 2 + 3 + 1 + 2 + 7 = 22.

The percent is:

  • % = (number of employees that worked for 10 years or more / number of employees)×100

  • % = (22/30)×100 = 73.3%
5 0
3 years ago
Rewrite with the LCD
anygoal [31]
1/4 + 3/8

Rewrite with the LCD (lowest common denominator)

Remember : the denominator is just the bottom number on a fraction.

Let's look at both of our given fractions denominator's.

4 & 8 → What do both of these numbers have in common? They both go into 8!

How many times does 4 go into 8? → Twice

How many times does 8 go into 8? → Once

So, because of that, we must multiply the top number (numerator) of each fraction with either one, or two.

First fraction : 1/4 × 2/2 =2/8 → So, our first fraction changes.

Second fraction : 3/8 × 1/1 = 3/8 → However, our second fraction changes.

So, our new question looks like this : 2/8 + 3/8

If you wanted us to answer this question, we simply need to add the top numbers (numerators) with one another because both fractions have the same bottom numbers (denominators).

2 + 3 = 5

So, our answer is 5/8 and our question rewritten with the LCD is : 2/8 + 3/8

~Hope I helped!~

 
6 0
4 years ago
Which of the following represents the characteristics of the graph of x &lt; 4 1.) closed circle on 4 and shaded to the left 2.)
dimulka [17.4K]

Answer:

Open circle on 4 and shaded to the left

7 0
4 years ago
Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
4 years ago
I need help with finding out if it’s a perfect square trinomial
GuDViN [60]
I’m pretty sure it is
4 0
3 years ago
Read 2 more answers
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