PLEASE HELP 100 POINTS The correlation coefficient for poor hearing and loud music in a group of people is 0.67. Analyze the following statement: Poor hearing is caused by listening to loud music. Is this a reasonable conclusion?
Yes; everyone who listens to loud music has hearing trouble.

Yes; the correlation coefficient is above 0.5, so that implies causation.

No; the data does not suggest causation, and many people who listen to loud music can hear well.

No; poor hearing and listening to loud music are completely unrelated.

Answers

Answer 1
No; the date does not suggest causation, and many people who listen to loud music can hear well.
i believe this is the answer. hope this helps!
Answer 2

No; the date does not suggest causation, and many people who listen to loud music can hear well.

The following information should be considered:

The poor hearing should be arise by listening for loud mousic. So the date should not be recommended and various people should be listen loud music.

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Related Questions

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 3x+1

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = (13-4)/(4-1)

    = 9/3

   = 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

Using a point from the table

10 = 3(3)+b

10 =9+b

10-9 =b

1=b

y = 3x+1

Please help me out here real quick!! If do you I'll mark you as BRAINLIEST ​

Answers

Answer:

hope this helps

Step-by-step explanation:

hope this helps

john always wears a shirt, pants, socks, and shoes. he owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. how many different outfits can john make? PLEASE ANSWER

Answers

Answer:

900 outfits

Step-by-step explanation:

You just have to multiply them all together :)

Which type(s) of symmetry does the following object have?
Select all that apply.

Answers

Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.

We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.

We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.

Answer:

Theres more than one answer so b and a

Step-by-step explanation:

Find all solutions to the following equation

Answers

Answer:

x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

But above we said x cannot equal -2

so x = -1

The solution we said x cannot equal -2so x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

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what's the square footage of 12'3" * 18'4"

Answers

Answer:

multiply length time width  

Given the figure, what is the angle of rotational system?​

Answers

Answer it should be 72° as the figure is a 5 fold.

360/5 = 72

Angle of rational symmetry is 72°

Must click thanks and mark brainliest

Which expression represents the prime factorization of 243?

A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3

Answers

Answer: B) 3 × 3 × 3 × 3 × 3

Concept:

In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.

Solve:

243 ÷ 3 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B

Step-by-step explanation:

how could it not be??

Someone pls help me . I will mark you brainliest !! thank you sm .

Answers

Answer:

first one is 27.89, the second is 20.

Step-by-step explanation:

1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.

Your equation will be set up like this : 9.50x +75 = 340

So, to get x, we must isolate it. so subtract 75 from both sides

9.50x +75 -75 = 340 -75           9.50x = 265

Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50

9.50x/9.50 = 265/9.50          so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.

2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120

So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.

6x/6 = 120/6                  so, x = 20 minutes.

the nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence .


NEED HELP

Answers

Answer:

The answer is - 65

Step-by-step explanation:

From the question the nth term of the sequence is

3n² - 10

where n is the number of terms

Since we are finding the 5th term

n = 5

Substitute this value into the above formula

That's

3(5)² - 10

= 3( 25) - 10

= 75 - 10

We have the final answer as

- 65

Hope this helps you

Find the endpoint/midpoint.Please hurry

Answers

Answer:

im not sure, but i have

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help I’ll mark brainliest

Answers

Answer:

Step-by-step explanation:

The rule that makes a relation NOT a function is if there are shared x values. This function has 2 points with the same x value:

(7, 4) and (7, 6). The sharing of these x-values (or the repeating of them) within the same relation makes this NOT a function. The last choice is the one you want. Just remember that a relation is only a function if there are no shared x-values. The y-values don't matter to this at all. A relation would be a function if it were made up of the following coordinates:

(1, 2), (2, 2), (3, 2), (4, 2), (5, 2), etc. Again, as long as the x-values don't repeat, the relation is a function.

The result of adding 14 to twice a number is the same as subtracting 8 from four times that number. Find that number.

Answers

Answer:

11

Step-by-step explanation:

Let the number be x

2x + 14 = 4x - 8                  Add 8 to both sides

2x + 14 + 8 = 4x                 Combine

2x + 22  = 4x                     Subtract 2x

22 = 2x                              Divide by 2

11 = x

please tell me the right answer​

Answers

It’s either B = C or none of these.
I’m sorry I couldn’t choose one answer this was complicated

Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?

Pls help :)

Answers

Answer:

The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M

Step-by-step

Change:

7h10= 430 mins

1 hour and 25 minutes= 85 mins

2 hours and 5 mintues= 125 mins

- Total time Ruth wants to do before his dinner reservations:

85+ 125+ 50= 260 (mins)

- The latest time Ruth's family can start their tour in order to make it to dinner on time:

430- 260= 170 (mins)

Change: 170 mins= 2 hours and 50 minutes

Good luck!

SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50

Answers

Answer:

C

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side.

SP is a midline segment, thus

SP = [tex]\frac{1}{2}[/tex] LN , that is

2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2

4x + 6 = 5x - 14 ( subtract 4x from both sides )

6 = x - 14 ( add 14 to both sides )

20 = x

Thus

SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C

if x = 2 and y = 1 what is the expression of 3(y-1)+2x2 ( it’s not actually 2x2 the 2 is small i don’t remember what it’s called)

Answers

Answer:

substituting the given values we get,

3(1-1)+2*2

using bodmas we get

3(0)+2*2

0+2*2

0+4

4

therefore the answer is 4,thank you and mark the answer as brainliest if u find my answer helpful

Answer:

he's correct that is the answer!!

points V W X Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ find the indicated length

21.) WX 22.) VW 23.) WY 24.) VX 25.) WZ 26.) VY

Answers

Answer:

WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42

Step-by-step explanation:

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

The points V, W, X, Y and Z are collinear. The indicated lengths are

[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]

Given :

points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ

Lets make diagram using the given information

The diagram is attached below

XY=YZ

XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]

[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]

Now we find out VW

[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]

Now we find the indicated length

[tex]WX =10[/tex]

[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]

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. Two trains leave a train station traveling different directions. The first train travels 12 miles west, then 6 miles north. The second train travels 20 miles east, then 35 miles north. a. The train station is the origin. What is the coordinate of each train? b. Using the train station and the stop point of the first train, what is the slope of the line? Is it horizontal, vertical or neither? Write the equation of the line in slope-intercept form and standard form. c. The city wants to build a second train station 2 miles directly north of the first train station. They are going to build a train track from the second train station that is parallel to the path the first train would've traveled if it had taken a direct route to its stopping point. What would be the equation of the line in slope intercept form of the new track?

Answers

Answer:

a. The coordinates of the first train are (-12,6).  The coordinates of the second train are (20,35).

b. The slope of the line for the first train is [tex]-\frac{1}{2}[/tex].  The slope is neither horizontal or vertical.  It slopes diagonally downward from left to write since the slope is negative.  In slope-interdept form, it is written as [tex]y=-\frac{1}{2} x[/tex].  In standard form, it is written as [tex]x+2y=0[/tex].   The slope of the line for the second train is [tex]\frac{7}{4}[/tex].  The slope is neither vertical or horizontal.  It slopes diagonally upward from left to right since the slope is positive.  In slope-intercept form, it is written as [tex]y=\frac{7}{4}x[/tex].  In standard form, it is written as [tex]-7x+4y=0[/tex].

c. The equarion of a line in slope-intercept form of the new track would be [tex]y=-\frac{1}{2} x+2[/tex].

Step-by-step explanation:

a.  The way to find the coordinates is either to picture a coordinate grid in your head or to have one out in front of you for a visual.  The first train travels 12 miles west, or 12 units to the left (-12), and 6 miles north, or 6 units up (6).  On a coordinate plane, that would be marked as (-12,6).  The second train travels 20 miles east, or 20 units to the right (20), and 35 miles north, or 35 units up (35).  On a coordinate plane that would be marked as (20,35).  This means that the coordinates of the first train would be (-12,6), and the coordinates of there second train would be (20,35).

b. The way to find slope is to find [tex]\frac{delta "x"}{delta "y"}[/tex].  "Delta" means "the change in".  The equation would be [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].  So, let's find the slope of the first train's travel path.  We'll use the origin, (0,0), and the stopping point, (-12,6), as our coordinates to find the slope.  [tex]\frac{0-6}{0-(-12)}=\frac{0-6}{0+12}=\frac{-6}{12}=\frac{-1}{2}=-\frac{1}{2}[/tex].  That makes the slope of the first train's travel path to be (-1/2).  Now, let's find the slope of the second train's travel path.  We'll use the origin, (0,0), and the stopping point, (20,35), as our coordinates to find the slope.  [tex]\frac{0-35}{0-20}=\frac{-35}{-20}=\frac{35}{20}=\frac{7}{4}[/tex].  That makes the slope of the second train's travel path to be (7/4).  They want to know the equation of the travel path line in slope-intercept form and in standard form, and what the line looks like.  To start off, any vertical line would be undefined, and that would be if the slope was a fraction with a denominator of zero, which doesn't occur for either train path.  A horizontal line  would be if the slope was zero itself and the trains were not moving, but the trains are moving, so that's not possible either.  The way to determine theway a slope is diagonally is to look at whether the slope is positive or negative.  The first train's path slopes negatively, so it moves diagonally downward from left to right, or diagonally upward from right to left (both the same thing).  The second train's path slopes positively, so it moves diagonally upward from left to right, or diagonally downward from right to left.  Finally, the equations for this part of the question.  For both trains, the origin is the y-intercept, so the y-intercept does not have to be written in the slope-intercept equation.  The slope-intercept form of an equation of a line is [tex]y=mx+b[/tex] where "m" is the slope and "b" is the y-intercept.  The "b" value is 0, so that will not be written.  The slope for the first train is (-1/2), so the slope-intercept form of the first train's travel path is y=(-1/2)x.  The slope of the second train is (7/4), so the slope-intercept form for this train's path is y=(7/4)x.  As for standard form, subtract the "mx" value from both sides, and set the equation equal to 0. Also, get rid of any fractions. So, for the first train, standard form would be x+2y=0.  And for the second train, standard form would be -7x+4y=0.

c.  Parallel means having the same slope but a different y-intercept.  The second train station would be placed two miles north, or two units up, from the first train station.  The first train station is at (0,0), so the second train station would be placed at (0,2).  That makes 2 the y-intercept for if the first train had taken the second train station's travel route.  The slope for the intitial route was (-1/2), so that will stay the same.  Therefore, the equation of thr route taken if the first train had come out of the second train station, if it was already built, would be y=(-1/2x)+2.

Corinna has $80. She wants to buy a $256 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $256?

Answers

Answer:

80+16h≥256

Step-by-step explanation:

the 80 represents the $80 that Corinna already has

the 16h represents the amount of money made at the museum, with h being the number of hours worked

the inequality symbol is a greater than or equal sign because Corinna must have at least $256 to get the plane ticket, which means you either have to have the exact amount amount or more than the exact amount needed

Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12

Answers

The answer is option c.

Plz help me ASAP! I will mark brainliest

Answers

Answer:

x=20

<B=150°

Step-by-step explanation:

Opposite Interior Angles

8x-10=3x+90

8x-3x=90+10

5x=100

x=20

<B=3x+90

=3(20)+90

=60+90=150

Answer:

x=20

<B = 150

Step-by-step explanation:

The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal

8x-10 = 3x+90

Subtract 3x from each side

8x-10 -3x = 3x+90-3x

5x-10 = 90

Add 10 to each side

5x-10 +10 = 90+10

5x = 100

Divide by 5

5x/5 = 100/5

x = 20

<B = 3x+90

    = 3*20 +90

    = 60+90

    = 150

The generic version was basedOn the brand name and was 2/3 the size of the brand name. If the generic television set is 12 inches by 24 inches what are the dimensions of the brand name television

Answers

Answer:

18 inches by 36 inches.

Step-by-step explanation:

Since we have given that

The generic version was basedOn the brand name and was 2/3

And given Dimensions of generic version is given by 12inches ×24inches

If we use the first dimensions of 12inches we have

12=2/3 × brand

12×3/2 = brand

=18inches= brand

we use the first dimensions of 24 inches we have

24=2/3 × brand

24×3/2 = brand

=36 inches= brand

brand= 36 inches

Therefore,the dimensions of brand name will be 18 inches by 36 inches.


Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by
segment joining (4,1) and (8,3).​

Answers

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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Calculate YZ if WY = 25, XY = 23, and VZ = 35

Answers

Answer:

WY= 25

XY= 23

VZ=36

so,

WY/XY = YZ/VZ

25/23 = YZ/25 (then do cross multiply)

25×25 = 23 × YZ

625= 23 × YZ

625/23= YZ

27,17= YZ

#i'm indonesian

#hope it helps.

Answer:

[tex]\huge \boxed{13.04}[/tex]

Step-by-step explanation:

The triangles are congruent, we can use ratios to solve.

WY/XY = (WY+YZ)/VZ

Let the length of YZ be x.

25/23 = (25+x)/35

Cross multiply.

23(25+x) = 25 × 35

575 + 23x = 875

Subtract 575 from both sides.

575 + 23x - 575 = 875 - 575

23x = 300

Divide both sides by 23.

(23x)/23 = 300/23

x = 13.0434782609...

I'm doing a task which involves magic v's, a maths pattern which has the rule of having the same total on each side. For e.g.
6 5
3 4
2
Is a magic v because each side adds up to 11. I need to make magic V's with the number 2-6 and 3-7. There are 24 possibilities for each number set.

Answers

Answer:

--1-- (of set 23456)

2   4

5 3

 6

--2-- (of set 23456)

2   3

5 4

 6

--3-- (of set 23456)

2   5

6 3

 4

--4-- (of set 23456)

2   3

6 5

 4

--5-- (of set 23456)

3   5

4 2

 6

--6-- (of set 23456)

3   2

4 5

 6

--7-- (of set 23456)

3   6

5 2

 4

--8-- (of set 23456)

3   2

5 6

 4

--9-- (of set 23456)

3   5

6 4

 2

--10-- (of set 23456)

3   4

6 5

 2

--11-- (of set 23456)

4   5

3 2

 6

--12-- (of set 23456)

4   2

3 5

 6

--13-- (of set 23456)

4   6

5 3

 2

--14-- (of set 23456)

4   3

5 6

 2

--15-- (of set 23456)

5   4

2 3

 6

--16-- (of set 23456)

5   3

2 4

 6

--17-- (of set 23456)

5   6

3 2

 4

--18-- (of set 23456)

5   2

3 6

 4

--19-- (of set 23456)

5   6

4 3

 2

--20-- (of set 23456)

5   3

4 6

 2

--21-- (of set 23456)

6   5

2 3

 4

--22-- (of set 23456)

6   3

2 5

 4

--23-- (of set 23456)

6   5

3 4

 2

--24-- (of set 23456)

6   4

3 5

 2

--1-- (of set 34567)

3   5

6 4

 7

--2-- (of set 34567)

3   4

6 5

 7

--3-- (of set 34567)

3   6

7 4

 5

--4-- (of set 34567)

3   4

7 6

 5

--5-- (of set 34567)

4   6

5 3

 7

--6-- (of set 34567)

4   3

5 6

 7

--7-- (of set 34567)

4   7

6 3

 5

--8-- (of set 34567)

4   3

6 7

 5

--9-- (of set 34567)

4   6

7 5

 3

--10-- (of set 34567)

4   5

7 6

 3

--11-- (of set 34567)

5   6

4 3

 7

--12-- (of set 34567)

5   3

4 6

 7

--13-- (of set 34567)

5   7

6 4

 3

--14-- (of set 34567)

5   4

6 7

 3

--15-- (of set 34567)

6   5

3 4

 7

--16-- (of set 34567)

6   4

3 5

 7

--17-- (of set 34567)

6   7

4 3

 5

--18-- (of set 34567)

6   3

4 7

 5

--19-- (of set 34567)

6   7

5 4

 3

--20-- (of set 34567)

6   4

5 7

 3

--21-- (of set 34567)

7   6

3 4

 5

--22-- (of set 34567)

7   4

3 6

 5

--23-- (of set 34567)

7   6

4 5

 3

--24-- (of set 34567)

7   5

4 6

 3

Step-by-step explanation:

This javascript code is extremely brute-force, but it does the job:

function checkIfInSet(i, set) {

   return i.toString().split('').sort().join('') === set;

}

function checkIfMagic(s) {

   return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))

}

function printMagic(s) {

   console.log(`${s[0]}   ${s[4]}`);

   console.log(` ${s[1]} ${s[3]}`);

   console.log(`  ${s[2]}\n`);

}

function checkSet(set) {

   let counter = 1;

   for(let i=1; i<99999; i++) {

       if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {

           console.log(`--${counter++}-- (of set ${set})`);

           printMagic(i.toString());

       }

   }

}

checkSet('23456');

checkSet('34567');

-4(2x-3) simplified

Answers

Answer:

-8x + 12

Step-by-step explanation:

Distribute -4 to the parentheses:

-4(2x - 3)

-4(2x) = -8x

-4(-3) = 12

-8x + 12

Answer:

-8x +12

Step-by-step explanation:

-4(2x-3)

Distribute

-4* 2x -4 *-3

-8x +12

if set a is 12345 and Set B is 23 find a union B and find a intersection b​

Answers

Answer:

a union b= {1,2,3,4,5}

a intersection b ={2,3}

Step-by-step explanation:

The union of two sets A and B is a set that contains all the elements of A and B and is denoted by A U B

the set composed of all elements that belong to both A and B is A intersection B (A ∩ B)

The city plans a roadway to have trees every mile. If the path is miles long, how many trees will the city need?


30 trees

31 trees

32 trees

33 trees

Answers

Answer:

32

Step-by-step explanation:

the country would need 30 to 33 trees

when the point ( k, 3 ) lies on each of these lines, find the value of k y= 3x+1 , y= 4x-2 , y=1/2x - 1 and 2x+3y=4

Answers

Answer:

see explanation

Step-by-step explanation:

Since (k, 3) lies on each of the lines, the point satisfies the equations.

Substitute x = k, y = 3 into each and solve for k

y = 3x + 1

3 = 3k + 1 ( subtract 1 from both sides )

2 = 3k ( divide both sides by 3 )

k = [tex]\frac{2}{3}[/tex]

-------------------------------------------------------

y = 4x - 2

3 = 4k - 2 ( add 2 to both sides )

5 = 4k ( divide both sides by 4 )

k = [tex]\frac{5}{4}[/tex]

--------------------------------------------------------

y = [tex]\frac{1}{2}[/tex] x

3 = [tex]\frac{1}{2}[/tex] k ( multiply both sides by 2 to clear the fraction )

k = 6

---------------------------------------------------------

2x + 3y = 4

2k + 3(3) = 4

2k + 9 = 4 ( subtract 9 from both sides )

2k = - 5 ( divide both sides by 2 )

k = - [tex]\frac{5}{2}[/tex]

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