Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90. She estimates the cost of 1 kilogram of cheese to be $1. Is her estimate reasonable?

Answers

Answer 1
no, her estimate is closer to 1 kilo of cheese being $10
Answer 2

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90.

She estimates the cost of 1 kilogram of cheese to be $1.

Let's check the rate of cheese. Then we have

Rate = $39.90 / 4.2

Rate = $9.5 per kilogram

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

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Related Questions

5 and 3 fourths times 2 and 2 eleventh’s

Answers

The answer is 12.5 if you are using the answer in decimal form

Answer:

138/11

Step-by-step explanation:

5 3/4 * 2 2/11

23/4 * 24/11

(552/44)/4

138/11

5x + 7y + 12 how many terms are there

Answers

Answer:3

Step-by-step explanation:

5,7,12

a sphere with a radius of 15cm has the same volume as a cylinder with a radius of 5 cm.what is the height od the cylinder

Answers

Answer:

180cm

Step-by-step explanation:

Vol of sphere = (4/3) pi r^3 and vol of cylinder = pi r^2 h

so

(4/3) pi 15^3 = pi (5)^2 h

(4/3) * 15^3 = 25h

h =  [(4/3) * 15^3 ] / 25  =  180 cm

Step-by-step explanation:

according to the question,

vol.of sphere = vol of cylinder

4/3πR³=πr²h

refer to the attached file.

thanks for the question!!

hurry : Write an equation for the line graphed.

Answers

Answer:

y = (2/3)x -3

Step-by-step explanation:

find the slope using ( y1 - y2 ) / ( x1 - x2)

slope: 2/3

y-intercept: -3

use y = mx + b

What is the y-intercept of this line? Y=3x+2

A.3
B.2

Answers

Answer:

B: 2

Step-by-step explanation:

2 is the y-intercept of the given line.

2 as y=mx+c is the formula for basic straight lines and c represents the y-intercept

six out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as knights, what proportion of trick-or-treaters were not dressed as knights?

Answers

Final answer:

To find the proportion of trick-or-treaters not dressed as knights, subtract the proportion dressed as knights from 1. Therefore, the proportion of trick-or-treaters not dressed as knights is 7/13.

Explanation:

To find the proportion of trick-or-treaters that were not dressed as knights, we need to subtract the proportion of trick-or-treaters who were dressed as knights from 1. If 6 out of every 13 trick-or-treaters were dressed as knights, then the proportion of trick-or-treaters not dressed as knights is 1 - (6/13) = 7/13.

In the realm of probability and proportions, calculating the proportion of trick-or-treaters not adorned in knightly attire involves a straightforward yet insightful approach. We initiate this quest by recognizing that the sum of all probabilities within a given context equals 1, which encapsulates all possible outcomes. Since we know that 6 out of every 13 trick-or-treaters don the guise of knights, we can deduce that the proportion of those not dressed as knights is the remainder of this whole, represented as 1 - (6/13). Simplifying this expression reveals that 7 out of every 13 trick-or-treaters fall into the category of not being attired as knights.

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Lesson Review

Directions: Simplify these problems by combining like terms.

1. 9s + 2s - 3s - 6

2. 12t - 4t - 6 + 5t

3. 18r + 13r + 4r - 3r =

4. 21 - 4q + 42r - 16 =

5. 19st - 6s + t =

6. 107 + 107x - x =

7. 15a2 - 12a + a2 - 3a

8. 13t + 14t + t =

9. r + s + rs +2s + rs + s=

10. 5pt - 3p + 4t - 2pt =

11. 13x2 + 3x2 - x =

12. 103c - 5c + 9c =

13. 11q - 4 + 10q - 5q + 9 =

14. 2k - 28k + 3k =

15. 183x + 91x - 23x =

Answers

1. 8s-6
2. 13t-6
3. 32r
4. 5-4q+42r
5.no like terms
6. 107-106x
7. 16a2−15a
8. 28t
9. 4s+r+2rs
10. 7pt-3p+4t
11. 26x2−x
12. 107c
13. 16q+9
14. -23k
15. 151x

Answer:

1. 8s-6

2. 13t-6

3. 32r

4. 5-4q+42r

5.no like terms

6. 107-106x

7. 16a2−15a

8. 28t

9. 4s+r+2rs

10. 7pt-3p+4t

11. 26x2−x

12. 107c

13. 16q+9

14. -23k

15. 151x

Step-by-step explanation:

find the unknown resistance in the figure shown, to the nearest hundredth of an ohm, if the total (equivalent) resistance is 0.28


Please help asap!

Answers

The unknown resistance is approximately 0.44 Ω.

Solution:

Total (equivalent) resistance = 0.28 Ω

Resistance 1 = ?

Resistance 2 = 0.81 Ω

To find the unknown resistance.

Formula for determining equivalent resistance in a parallel circuit:

[tex]$\frac{1}{R_{e q}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]

Substitute the given values in the formula.

[tex]$\frac{1}{0.28}=\frac{1}{R_{1}}+\frac{1}{0.81}[/tex]

[tex]$3.571=\frac{1}{R_{1}}+1.235[/tex]

Subtract 1.235 on both sides of the equation, we get

[tex]$2.282=\frac{1}{R_{1}}[/tex]

Take reciprocal to find [tex]R_1[/tex].

[tex]$R_{1}=\frac{1}{2.282}[/tex]

[tex]$R_{1}=0.44[/tex]

[tex]R_1[/tex] = 0.44 Ω

The unknown resistance is approximately 0.44 Ω.

HELP QUICK I NEED TO KNOW THIS Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?

Answers

The number of coins Sparrow has at the beginning of the game is 92 coins.

How many coins did Sparrow have at the beginning of the game?

Total number of coins = 210.

Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6

Let

x = multiplying factor

The number of coins to Ahab = 4x

The number of coins to Sparrow = 5x

The number of coins to Davy = 6x

Since, total number of coins = 210

So

4x + 5x + 6x = 210

15x = 210

Divide both sides by 15

x = 16

Therefore,

The number of coins to Sparrow = 5x

= 5 × 16

= 80 coins

At the end Ahab and Davy wins 5 and 7 coins respectively

So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5

= 92

ASAP Please help me

Answers

Answer:

1. a) $ 25

b) $65

2) a) 246,000 followers

b) In 20 years

3a) $65

b) $85.25

Step-by-step explanation:

1. A linear equation is modeled by [tex]y=mx+b[/tex]

where b is the one time fee you pay and m=$8 is how much you pay per hour.

y is the total cost and x is the number of hours.

Hence the equation becomes: [tex]y=8x+b[/tex]

Since Jill rented for 3 hours and paid $49, x=3 and y=49.

We substitute and solve for the one-time fee, b.

This implies that:

[tex]49=8(3)+b[/tex]

49=24+b

b=49-24=25.

a) The fee is $25

b) We now write the equation in full to get: [tex]y=8x+25[/tex]

To find the cost for 5 hours we put x=5 into this equation and solve for y.

[tex]y=8(5)+25[/tex]

y=40+25=$65

2a) We still use the equation y=mx+b.

b is the number of followers he started with.

This time m=-12,000 because he is losing followers at the rate of 12,000

The equation becomes: y=-12,000x+b

After 4 years he was down to 198,000.

This implies that, when x=4,y=198,000

We substitute to get:

[tex]198,000=-12,000(4)+b[/tex]

[tex]198,000=-48,000+b[/tex]

[tex]b=198,000+48,000=246,000[/tex]

Hence he started with 246,000 customers

b) The equation now becomes [tex]y=-12,000x+246,000[/tex]

To find how many years he will have 6000 followers, we substitute y=6000 and solve for x.

[tex]6000=-12,000x+246,000[/tex]

[tex]6000-246,000=-12,000x[/tex]

[tex]-240,000=-12,000x[/tex]

[tex]x=\frac{240,000}{12,000}[/tex]

x=20.

3. We still use the equation: y=mx+b.

This time m=0.25 is the rate per mile.

This implies y=0.25x+b

Since Kyle drove 32 miles and spent $73, we have y=73 when x=32

We substitute these values and solve for x.

[tex]73=0.25(32)+b[/tex]

[tex]73=8+b[/tex]

[tex]b=73-8[/tex]

[tex]b=65[/tex]

Hence the one-time fee is $65

b) The equation now becomes:

[tex]y=0.25x+65[/tex]

To find how much it will cost to drive 81 miles, we substitute x=81 and solve for y.

[tex]y=0.25*81+65[/tex]

[tex]y=20.25+65[/tex]

[tex]y=85.25[/tex]

The cost for 81 miles is $85.25

2) It cost $5 to send 6 packages through a certain shipping co
ges through a certain shipping company. Consider the number of packages per dollar.
1.
ii.
Find the constant of proportionality for this situation.
Write an equation to represent the relationship.

Answers

Final answer:

The constant of proportionality is $0.833 per package, and the equation representing the cost C of sending p packages is C = 0.833p.

Explanation:

To find the constant of proportionality for the given shipping situation, we divide the total cost by the number of packages shipped. In this case, it costs $5 to send 6 packages, which gives us a constant of proportionality of $5 / 6 packages. This can be simplified to approximately $0.833 per package.

The equation to represent this relationship would be C = 0.833p, where C represents the total cost in dollars and p represents the number of packages. This shows that for each package sent, the cost will increase by approximately $0.833.

the function v (r)can be used to find the volume of air inside a basketball given it radius what does v(r) represnet

Answers

The notation V(r) actually gives the volume of air inside the basketball.  V(r) is volume as a function of radius, r  It can be written as:  V(r) = 4/3πr³  So, for any value of r, we can get the volume V.  For, example, when r = 7cm  we can say;  V(7) = 4/3 x 22/7 x 7³ = 1437.33 cm³

please solve
3(y+2)=14
I can't find the answer ​

Answers

Answer:

y = 8/3

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3

Answer:

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3 or 2 2/3

Please help! Will give Brainliest!
What is the area of this trapezoid? 175 in² 140 in² 129 in² 85 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 4 inches. E C is 6 inches. E B is 7 inches. A B is 15 inches.

Answers

Answer:

198

Step-by-step explanation:

Answer:

The answer is 140! brainilest please!

Step-by-step explanation:

Martina runs 7 miles in 50 mins at the same rate how many miles will she run in 75 mins

Answers

Martina runs 10.5 miles in 75 minutes

Solution:

Given that,

Martina runs 7 miles in 50 minutes

Therefore, miles ran in 1 minute is:

[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]

At the same rate how many miles will she run in 75 mins

Thus, to find the miles ran in 75 minutes:

[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]

Thus she runs 10.5 miles in 75 minutes

PLEASE HELP ILL GIVE BRAINLIEST

Answers

The answers are option C) segment and option D) ray

Step-by-step explanation:

Line :

A line has arrow mark in the two ends. So, the diagram is not a line.

Point :

A point represents particular spot as a small dot. So, the diagram is not a point.

Segment :

It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.

Ray :

A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.

Consider the dilation of square KLMN by a scale factor of 1/4, with a center of dilation at the origin. Assume the units are centimeters.


1. What is the perimeter of the square after the dilation? Explain the change in the perimeter.

2. What is the area of the square after the dilation? Explain the change in the area.

Answers

1. The given squares perimeter after dilation is 16 cm. Perimeter is reduced by 48 cm due to dilation.

2. The squares area is 16 square centimeters after dilation. The area reduces by 240 square cm due to dilation

Step-by-step explanation:

Step 1; First, we determine the coordinates of the points given in the graph. By plotting we determine that the points are; K (-8, -8), L(8,-8), M(8, 8) and N(-8, 8).

Step 2; We calculate the new coordinates of the square KLMN by multiplying the scale factor with each of the coordinate's x and y values.

8 × [tex]\frac{1}{4}[/tex] = 2, -8  [tex]\frac{1}{4}[/tex] = -2 are the different values in the four coordinates.

So by multiplying the scale factor we get the dilated square's points as

K (-2, -2), L(2,-2), M(2, 2) and N(-2, 2).

Step 3; The perimeter of a square is given by 4 times its side length. As the units are in centimeters, we determine the side length is 4 cm whereas it is 16 cm for the undilated square.

Perimeter of original square = 4 × 16 cm = 64 cm

Perimeter of the dilated square = 4 × 4 cm = 16 cm.

Change in perimeter = Perimeter of original square - Perimeter of the dilated square = 64 cm - 16 cm = 48 cm.

Step 4; The area of any given square is the side length of the square squared. The side length of the original square is 16 cm whereas the side length of the dilated square is 4 cm.

Area of original square = 16 × 16 cm = 256 square cm

Area of the dilated square = 4 × 4 cm = 16 square cm.

Change in area = area of original square - area of the dilated square = 256 cm - 16 cm = 240 square cm.

3x + 2y = 6 is an equation in standard form

Answers

Answer:

The value of y when x is 0 is 3

The value of x when y is 0 is 2

Step-by-step explanation:

3x + 2y = 6

3(0) +2y=6—> replace x with 0

2y=6—> divide both sides by 2

y=6

And do the same for y!

Final answer:

The equation 3x + 2y = 6 is a linear equation in standard form. Also, the equation y = 9 + 3x is an equivalent linear equation in slope-intercept form where b is 9 (y-intercept) and m is 3 (slope). A table of (x, y) values derived from this equation would plot as a straight line on a graph.

Explanation:

The equation you're looking at, 3x + 2y = 6, is indeed a linear equation in standard form. As a refresher, a standard form equation is written as Ax + By = C, where A, B, and C are constants, and x and y represent variables.

Let's consider another similar example, y = 9 + 3x. In this equation, which is in slope-intercept form, the b term has been set equal to 9 and the m term has been set equal to 3. We can fill out table A1 with different values for x and calculate the corresponding values of y. When plotted on a graph, these points will form a straight line, as dictated by the nature of linear equations.

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Round the following numbers and estimate the product.
72.87 . 37

Answers

The answer to this question is 252,000

I have a question! Well duhh thats why you see this
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
jp i dont need help ppl keep wanting to see what i look like so sorry!

Answers

your actually stunning

Help please, due by midnight

Answers

Step-by-step explanation:

The second one is the first claim, because it is a traingles and one square.

The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.


There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.

Answers

Question

P c

4 14

5 17

6 20

7 23

There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.

A) c = 3p + 3

B) c = 2 − 3p

C) c = 3p − 2

D) c = 3p + 2

Answer:

c = 3p + 2 is the equation that shows relation between number of caterpillars and plants

Solution:

Given that,

There are 3 caterpillars on each plant

And there are 2 caterpillars on the ground

Let the number of plants be "p"

Let the number of caterpillars be "c"

The equation that shows relation between number of caterpillars and plants is:

If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars

Number of caterpillars = 3p + 2 caterpillars on the ground

Therefore,

Number of caterpillars = 3p + 2

c = 3p + 2

Thus the equation is found

find the volume of a pyramid 8 base length 5 base width 12 height

Answers

Answer:

The volume is 160 cubic units

Step-by-step explanation:

1. Information given to us to answer the question correctly:

8 = base length

5 = base width

12 = height

2. Let's recall the formula of the volume of a pyramid with rectangular base:

Volume = (Length * Width * Height)/3

Volume = (8 * 5 * 12)/3

Volume = 480/3 ?

Volume = 160 cubic units


Which value is the solution for this equation?
2(a + 3) = −4

A) −5
B) −2
C) 3
D) 4

Answers

Answer: a=-5

Step-by-step explanation:

2(a + 3) = −4

2a+6=-4

2a=-10

a=-5

Answer:

Your answer is a= -5. So A would be your answer.

At the flea market path and four buckets of Legos with each bucket containing 1,398 Lego pieces. if you wanted to with the Lego pieces into three piles ,how many pieces should he put into each pound?

Answers

Answer:

1,864

Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864

A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)

Answers

Answer:

D. or 5(w+10)

Hope this helps :)

solve this equation
y= 2x
x= -y + 6

Answers

The solution is x = 2 and y = 4

Solution:

Given system of equations are:

y = 2x -------- eqn 1

x = -y + 6 ----------- eqn 2

We can solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

x = -2x + 6

Move the variables to one side and constants to other side

x + 2x = 6

3x = 6

Divide both sides of equation by 3

x = 2

Substitute x = 2 in eqn 1

y = 2(2)

y = 4

Thus the solution is x = 2 and y = 4

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

12 m squared

Step-by-step explanation:

area of triangle is 1/2 base x height

base x height is 28 so 1/2 is 14

the area of the rectangle is base x height

1 x 2 = 2

14-2 = 12

If I did 57 jumping jacks in 1 minute how long would it take to do 100 jumping jacks

Answers

Answer:

2 minuets

Step-by-step explanation:

Set up a ratio:

57 jumping jacks / 1 minute = 100 jumping jacks / x minutes

Cross multiply:

57x = 100

Divide both sides by 57:

X = 100/57

X = 1.754 minutes = 1 minute 45 seconds

What is the correct answer???

Answers

Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate

Explanation:

It is given that the coordinates of the line segment are A(3,2) and B(6,11).

Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3

The distance between the x-coordinates is 3 units.

To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.

The value of x-coordinate from the ratio is 2.

Sum of the ratio is 2 +3 = 5

Thus,

The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5

Substituting the values, we have,

The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]

Thus, Option D is the correct answer.

Other Questions
What should you consider when choosing the type of eye protection you use? Maslow's Hierarchy of Needs was developed to help explain how our behaviors are motivated. If a client is in the Survival Mode category, how might they be described? how did containment lead to the united states becoming involved in the conflict between north and South Korea (the Korean War) help me if you can please In the country of Lumberne, citizens campaigned against the sanction of a new factory that was about to be built in the vicinity of their residences. They argued that the discharge from the factory will pollute the area and adversely affect the quality of life of several residents. These citizens, who campaigned against the sanction, are most likely a part of a _____.a) self-regulatory bodyb) civil societyc) law firmd) government organization Which of the following statements is true of functional departmentalization? a. It is likely to lead to faster decision making as companies grow. b. It allows work to be done by highly qualified specialists. c. It causes duplication of resources, which often results in higher costs. d. It is a hybrid structure in which two or more forms of departmentalization are used together. Ownership costs are incurred after the initial purchase and are associated with the ongoinguse of the product or material. Which of the following is not an ownership cost listed in the text? A. Financing costsB. Energy costsC.TaxesD. AestheticsE. Worker fatigue Identify three ways that the populations of countries increase? One who breaks an unjust law must do so openly, lovingly, and with a willingness to accept the penalty.Based on his behavior in "Civil Disobedience," how would Thoreau most likely feel about Kings statement? A person is placed in a large, hollow, metallic sphere that is insulated from ground. (a) If a large charge is placed on the sphere, will the person be harmed upon touching the inside of the sphere? Yes No Correct: Your answer is correct. (b) Explain what will happen if the person also has an initial charge whose sign is opposite that of the charge on the sphere. The Brown Jug has paid annual dividends of $0.61, $0.64, $0.71, $0.82, and $0.88 per share over the past 5 years, respectively. What is the geometric average dividend growth rate for this period?Top of Forma. 8.51 percentb. 8.97 percentc. 9.10 percentd. 9.59 percente. 10.21 percent Where are you most likely to find plant roots?OA. ChorizonOB. O horizonA horizonOD. B horizon Jeanine owes $1,200 on a credit card. The cars charges 16% interest, compounded continuously. Write a formula that describes how much you knew on her card after t years, assuming she makes no payments and does not incur any additional charges. 9(6u+5)+2(u-4) need solved A ball is thrown horizontally off a cliff. If the initial speed of the ball is (15.0 + A) m/s and the cliff is (25.0 + B) m high, how far from the base of the cliff will the ball land in the water below? Calculate the answer in meters (m) and round to three significant figures.A=4B=54 After which problem-solving stage should you take action?A. defining the problemB. evaluating informationC. gathering informationD. making a choice What does water came out from a rock mean in this poem and why is it compared to the radio waltz?Time was away and somewhere else.The waiter did not come, the clockForgot them and the radio waltzCame out like water from a rock:Time was away and somewhere else. In classical conditioning, extinction of the learned response involves _____; whereas in operant conditioning, extinction of a learned response involves _____. Todo preparado?ESCRIBIR Elige las respuestas a las siguientes preguntas:1. Qu persona hace la comida?a. los padres b. los primos c. los tos2. A quin le gusta romper la piata?a. al tob. al primo c. al hermano3. Quin saca fotos y hace un video en la fiesta?a. la madre b. el hermano c. el to4. Quin decora el restaurante?a. las tas b. los tos c. los padres5. Qu decoraciones usan?a. cmaras b. flores c. ensaladas Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what could be the dimensions of the rug? Roberto was recently promoted, and his salary increase includes retirement investment options, so he has decided to take part in an ESOP. This means that Roberto____________.A. will be on the company's board of directorsB. will participate in an Externship Supervisors' Oversight PlanC.will be buying shares of his company'sstockD. is now part of the company's external stakeholdersE. is in charge of an investment groupWith an Employee Stock Ownership Plan (ESOP), employees buy company stock to become owners.