I need help step by step Combining like terms 6 + x + 4=

Answers

Answer 1
The like terms are 6 and 4:

6 + x + 4
= x + 10

Related Questions

Super confused definitely need help on this

Answers

Answer:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Step-by-step explanation:

So we have the expression:

[tex](x-5)(x+8)[/tex]

To multiply, distribute the left to the terms on the right:

[tex]=(x-5)(x)+(x-5)(8)[/tex]

Distribute:

[tex]=(x^2-5x)+(8x-40)[/tex]

Combine like terms:

[tex]=(x^2)+(-5x+8x)+(-40)[/tex]

Simplify:

[tex]=x^2+3x-40[/tex]

Therefore:

[tex](x-5)(x+8)=x^2+3x-40[/tex]

Answer:

Step-by-step explanation:

x^2 + 8x - 5x - 40

x^2 + 3x - 40

Three balls are placed in a row on a thin metal rod through a hole in the center of each ball. the middle ball is touching both of the other balls. the diameter of the balls 3,4, and 5 inches. of the following, which is closest to the greatest possible distance between the center of any two of the balls?​

Answers

Answer:d

Step-by-step explanation:

The greatest so place the biggest one in the middle so 1.5+5+2=8.5

two strips of fabric measures 14 3/4 inches and 20 7/8 inches in length. to form one length, the strips are sown together using 1/2 inch from each strip to make the seam. what is the final length of the fabric after two strips are sewn together

Answers

Answer:

34 5/8 inches

Step-by-step explanation:

Let the two strips be fabric A and fabric B

Fabric A= 14 3/4 inches

Fabric B = 20 7/8 inches

To form one length, the strips are sown together using 1/2 inch

Length after sewing=

Fabric A - 1/2 inch

= 14 3/4 inches - 1/2 inch

= 59/4 - 1/2

= 59-2 /4

= 57/4 inches

Length after sewing=

Fabric B - 1/2 inch

= 20 7/8 inches - 1/2 inch

= 167/8 - 1/2

= 167-4 /8

= 163/8 inches

Final length of the fabric after two strips are sewn together

= 57/4 inches + 163/8 inches

= 114+163 /8

= 277/8

= 34 5/8 inches

Final length of the fabric after two strips are sewn together= 34 5/8 inches

y=-|x-2|
Please help me

Answers

Answer:

y = -|x-2| (*)

2 cases:

case 1: for x≥2 <=> |x-2| = x-2

(*) <=> y = - (x-2)

<=> y = -x+2

<=> x+y = 2

case 2: for x>2 <=> |x-2| = 2-x

(*) <=> y = -(2-x)

<=> y = x-2

<=> x-y = 2

since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.

help me pls and ty !

Answers

Answer:

[tex]a=2.6-3.4b[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2.2a+3.4b=1.2a+2.6[/tex]

And we want to solve for a.

So, subtract 1.2a from both sides:

[tex](2.2a+3.4b)-1.2a=(1.2a+2.6)-1.2a\\1a+3.4b=2.6[/tex]

Now, subtract 3.4b from both sides:

[tex](a+3.4b)-3.4b=2.6-3.4b\\a=2.6-3.4b[/tex]

And that's our answer :)

Souta wants to compare the mean of his test scores in French class to the mean absolute deviation. Language Test Scores French Scores 76 62 94 80 He uses the steps below to find both the mean and mean absolute deviation. French Scores Step 1 Add the scores. 76 + 62 + 94 + 80 = 312 Step 2 Divide the sum of the scores by 4. 312 divided by 4 = 78 Step 3 Add the differences between the mean and each score. (76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0 Step 4 Divide by 4. StartFraction 0 over 4 EndFraction = 0 In which step did Souta make the first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Souta made the first error in Step 3

Step-by-step explanation:

In order to find the Mean Absolute Deviation of a data set, you need to find the ABSOLUTE VALUE of the differences between the mean and each score.  This means that 76-78 will be |76-78|, or 2.

Only then can you divide by 4. The correct answer should have been

[tex]|76-78|=2\\\\|62-78|=16\\\\|94-78|=16\\\\|80-78|=2[/tex]

[tex]2+2+16+16=36\\\\36\div4=9[/tex]

So 9 is the MAD of this data set.

Hope this helped!

Answer:

the person above me is right make that person the brainlyest

Step-by-step explanation:

Please tell me the answer I need it soon, I do not understand math at all, tutoring doesn’t help me either.

Answers

The long way to do this is to have

4*4*4 *4*4*4 *4

so we have 7 copies of '4' multiplied together

Typing this into your calculator leads to

4*4*4 *4*4*4 *4 = 16384

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

The shortcut is to use exponents

Writing 4^7 means we have a base of 4 and an exponent of 7.

Saying 4^7 is the same as saying [tex]4^7[/tex]

To enter in your calculator, you would hit the button labeled [tex]x^y[/tex]

So you'll type 4, then the [tex]x^y[/tex] button followed by 7

Your calculator will then show 16384 as a result.

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

Side note: you could compute all this by hand using pencil & paper, but to me that seems like tedious busy work (so why not use a calculator to be efficient).

solve for the inverse g(x) = 2x^2-6/9​

Answers

Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.

Step-by-step explanation:

In the table about plant growth, what constant rate of change occurs? Explain what this rate of change means
in terms of growth. Include measurement labels.

Answers

Answer/Step-by-step explanation:

The constant rate of change that occurs can be calculated using the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let any 2 given pair values represent (x, y).

Thus, let's use (3, 3) and (5, 4.5)

Let (3, 3) = (x1, y1)

(5, 4.5) = (x2, y2)

Rate of change = [tex] \frac{4.5 - 3}{5 - 3} = \frac{1.5}{2} [/tex]

Rate of change = 0.75

The rate of change, 0.75, means in terms of growth, the height of the plant increases by 0.75 inches every week.

PLZZZ help asap will give the brain and 70 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1

Answers

Answer:

A. a=2, b=1, c=5

Step-by-step explanation:

Given:

2x^2+5=-x

Rearrange to have the format

ax^2+bx+c=0

2x^2+5=-x

Add x to both sides

2x^2 + 5 + x = - x + x

2x^2 + 5 + x = 0

2x^2 + x + 5 = 0

ax^2 + bx + c = 0

Where

a= coefficient of x ^2

b = coefficient of x

c= constant

Therefore,

a= 2

b = 1

c= 5

A. a=2,b=1,c=5 is the correct answer

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]

what is the opposite of -|-1| ?​

Answers

Answer:

l1l

Step-by-step explanation:

A Man run 1200 meter on a straight line in 4 minutes.find his velocity​

Answers

Answer:

Hey!

Your answer is 5 m/s!

Step-by-step explanation:

TO FIND VELOCITY:

DISTANCE COVERED / TIME TAKEN

1,200 m / 240 s (we convert 4 mins into seconds for it to fit the formula ie 4 x 60 seconds)

ANSWER: 5

(units are always given as m/s)

HOPE THIS HELPS!!

Subtract the polynomials. (x2+3x−7)−(3x2−5x+3)

Answers

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]

⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]

Hope I helped!

Best regards!!

A small newspaper company is downsizing and has lost employers at a steady rate. twelve months ago they had 65 employees, and now they have 29.

Answers

Answer:

each month 3 employees were laid off.

Step-by-step explanation:

the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.

How many solutions does the system have?
x+y=3
5x + 5y = 15
Choose 1 answer:
A. Exactly one solution
B. No solutions
С. Infinitely many solutions

Answers

Answer:

C)

Step-by-step explanation:

The answer is infinitely many solutions

because a1/a2 = b1/b2 = c1/c2.

Hope it helps :)

If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.

Simplify. 6m+7n+5m−3nhow to earn points

Answers

Answer:

11m + 4n ...............

What is the approximate side length of a game board with an area of 160 in.

Answers

Answer:

13 in

Step-by-step explanation:

[tex]\sqrt{a} =160[/tex]²

Perfect squares close to 160 include 144 and 169

12²=144

13²=169

Now that we can see 160 is closer to 169 rather than 144,

[tex]\sqrt{160}[/tex]≈ 13 in

Hope this helps! :)

And if possible, please mark my answer brainliest so i can get to the next rank  :(

BK−→− bisects ∠ABC and m∠ABK=28.3∘. Find m∠KBC and m∠ABC.

Answers

Answer:

[tex]KBC = 28.3[/tex]

Step-by-step explanation:

Given

ABK = 28.3

Required

Determine KBC and ABC

Since BK is a bisector of ABC, then it divides the angle to ABK and KBC:

Such that

[tex]KBC = ABK[/tex]

Substitute 28.3 for ABK

[tex]KBC = 28.3[/tex]

Also;

[tex]ABC = KBC + ABK[/tex]

Substitute 28.3 for ABK and KBC

[tex]ABC = 28.3 + 28.3[/tex]

[tex]ABC = 56.6[/tex]

Hence;

[tex]KBC = 28.3[/tex] and

helpppppppppp aasapppp

Answers

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

Answer:

2

Step-by-step explanation:

Convert mixed fraction to improper fraction

[tex]-2\frac{2}{3}=-\frac{8}{3}\\\\\\-1\frac{1}{3}=-\frac{4}{3}[/tex]

[tex]-2\frac{2}{3}[/tex] ÷ [tex]-1\frac{1}{3} =[/tex] [tex]\frac{-8}{3}[/tex] ÷ [tex]-\frac{4}{3}[/tex]

                  [tex]=-\frac{8}{3}*-\frac{3}{4}\\\\\\=2 *1 \\\\= 2[/tex]

solve x^3 = 1/8 please i’m dumb and don’t know

Answers

Answer:

1/2

Step-by-step explanation:

Cube root of .125 which is 1/8 is 1/2

Please help on the last part did the first two

Answers

Step-by-step explanation:

Hope this helps. But I don't know which country are you from and how you are supposed to it. Any way I tried to help.

5.) A six-sided die is rolled 20 times and the results are
recorded as follows: 3 ones, 4 twos, 5 threes, 2 fours, 4
fives, 2 sixes. What is the experimental probability of
rolling a number greater than four? Express your answer
in Fraction, Decimal, and % forms.

Answers

Answer:

There is a 30 % probability of getting  a number greater  than 4.

In  fraction  it 6/20

In decimal it is 0.3

Step-by-step explanation:

The experimental probability is found out by dividing the total favorable outcomes with the total possible outcomes

P (x= 1) = 3/20= 0.15

P (x= 2) = 4/20= 0.2

P (x= 3) = 5/20= 0.25

P (x= 4) = 2/20= 0.1

P (x= 5) = 4/20= 0.2

P (x= 6) = 2/20= 0.1

Now probability greater than 4 = P (x=5) + P(x=6)

                                                   = 4/20 + 2/20= 6/20

                                                    = 0.2+ 0.1= 0.3

So multiplying it with 100 we get = 0.3* 100= 30%

There is a 30 % probability of getting  a number greater  than 4.

Guys, I am taking the SHSAT and I am not confident I don't think I am smart enough to pass. I study like crazy but nothing sticks in my mind and if I don't pass my parents will be disappointed. What do I do?

Answers

Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

A game is played, where a die is tossed and a marble selected from a bag. Bag M contains 3 red marbles (R) and 2 green marbles (G). Bag N contains 2 red marbles and 8 green marbles. A fair six-sided die is tossed. If a 3 or 5 appears on the die, bag M is selected (M). If any other number appears, bag N is selected (N). A single marble is then drawn at random from the selected bag. Question ----> Find the probability that a green marble is drawn from either bag.

Answers

Answer:

2/3

Step-by-step explanation:

A die has 6 sides.  If a 3 or 5 is rolled, then bag M is selected.  So the probability that bag M is selected is 2/6 = 1/3.

Likewise, if a number other than 3 or 5 is rolled, then bag N is selected.  So the probability that bag N is selected is 4/6 = 2/3.

If bag M is selected, the probability the marble is green is 2/5.  The probability that M is selected, AND the marble is green, is therefore:

(1/3) (2/5) = 2/15

If bag N is selected, the probability that the marble is green is 8/10 = 4/5.  The probability that N is selected, AND the marble is green, is therefore:

(2/3) (4/5) = 8/15

The total probability that a green marble is selected is therefore:

P = 2/15 + 8/15

P = 10/15

P = 2/3

Bag M: 3 red and 2 green = 5 total, so green = 2/5

Bag N: 2 red and 8 green = 10 total, so green = 8/10 = 4/5

Dice roll: chance of getting Bag M is 2/6  ( 2 numbers out of 6 total numbers on a die), reduces to 1/3

Chance of getting Bag N is 4/6 = 2/3

The probability of picking green = Probability of Bag M x Probability of green in bag M + probability of bag N x probability of green in bag N:

2/5 * 1/3 + 4/5 * 2/3 = 2/15 + 8/15 = 10/15 = 2/3

The probability = 2/3

For what value of $a$ does the equation $3(2x-a) = 2(3x+12)$ have infinitely many solutions $x$?

Answers

Answer:

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Step-by-step explanation:

Given:

3(2x-a) = 2(3x+12)

6x - 3a = 6x + 24

Subtract 6x from both sides

6x - 3a - 6x = 6x + 24 - 6x

-3a = 24

Divide both sides by -3

a= 24 / -3

a = -8

Substitute a= -8 into the equation

3(2x-a) = 2(3x+12)

3{2x -(-8)} = 2(3x+12)

3(2x + 8) = 2(3x +12)

6x + 24 = 6x + 24

6x - 6x = 24 - 24

0 = 0

When a= -8, the equation 3(2x-a) = 2(3x+12) has infinitely many solutions

Answer:

aops question smh

Step-by-step explanation:

A local pizza shop has a membership program for frequent buyers. The membership
costs $25 per month and members get a discounted price of $1.50 per slice of pizza.
Aaliyah purchased a membership to this pizza shop. How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month? What would be the
monthly cost for a slices of pizza?

Answers

Answer:

$34

$26.5

Step-by-step explanation:

Membership cost per month = $25

Price of a slice of pizza for members= $1.50

How much would Aaliyah have

to pay the pizza shop if she bought 6 slices of pizza this month

Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza

= $25 + $1.50(6)

= $25 + $9

= $34

What would be the

monthly cost for a slices of pizza

Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza

= $25 + $1.5

= $26.5

Answer:

Monthly cost for 6 slices: 25+1.50(6)=34

Monthly cost for x slices: 25+1.50x

hope this helps

8(-5x + 3) use x = 6 how do i do this?​

Answers

first you would plug in 6 for x because x=6.
8(-5(6)+3)

then you would just solve

parentheses first so
8(-35+3)

8(-32)

=-256

Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.
a. 120 miles
b. 160 miles
c. 195 miles
d. 210 miles​

Answers

Answer:

195 miles

Step-by-step explanation:

This is because it is closer to the avg. 192.5 miles

Evaluate 6j+23+kl−3, when j=3, k=7, and l=33

Answers

Answer:

[tex]269[/tex]

Step-by-step explanation:

[tex]6j + 23 + kl - 3 = 6(3) + 23 + 7 \times 33 - 3 = 18 + 23 + 231 - 3 = 269[/tex]

Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 7} and Enter answers from smallest to largest THERE ARE TWO QUESTIONS

Answers

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7  and 42 is even and a multiple of 7

Answer:

[tex]\Huge \boxed{\mathrm{\{ 14, 42\} }}[/tex]

Step-by-step explanation:

[tex]\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}[/tex]

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

Other Questions
Read the excerpt from "Healthy Eating."But just a few easy changes in our diet will make a world of difference in our health. The key is planning and making informed decisions."People get stuck with the same five recipes. Or they feel kids are picky," said Erin Corrigan, the nutrition manager at Miami Children's Hospital. "My suggestion is you dedicate half an hour, once a week, to looking over ads at your favorite store, create a meal plan, make a list and go to the store and dedicate only going once a week, unless it's a real emergency."Based on this excerpt, what does the author want people to do? Accommodate children who are picky eaters.Find a few good recipes and stick to them. Spend less time shopping at the grocery store.Create and maintain a healthy meal plan. Which is an example of correct HTML?This is a heading This is a headingThis is a titleThis is a titleplease help! god bless you all Which statement best describes a physical change?O Changes can occur to certain chemical properties of the substance, but the overall shape of the substance willremain the same.O Changes can occur to certain physical properties of the substance, but the overall shape of the substance willremain the same.O Changes can occur to physical properties of a substance, but the chemical composition of the substance remainsthe same.O Changes can occur to chemical properties of a substance, but the chemical composition of the substance remainsthe same. ** uestion number 2A hardware store buys a hammer at a cost of$6.00. The selling price of the hammer is$12.00The amount of markup is - and thepercent of markup based on selling pricerounded to two decimal places isHint: Use the formulas: Markup SellingPrice - Cost, andPercent of Markup based on a reSelling Price Which of these statements would be good advice for the sheep in "The Wolf in Sheep's Clothing"?A. know who your friends are.B. Do not always believe what you see.C. It is hard to tell the difference between a wolf and a sheep.D. Shepherds always keep their sheep safe. Determine whether the statement is true or false. 12{18,17,15,13,12} In four to five sentences, describe the technological innovation that you feel has had the most impact on your daily activities. How many inches are in 8 feet? Highest molecular motion, highest kinetic energy, no forces of attraction, least dense packaging of molecules."Which state of matter is defined by this description? you put $500 in your bank account. With a interest rate of 5%, how long will it take the account to reach $600? If your total blood volume is 5 L the volume in your veins and venules is:______a. 3Lb. 3Lc. 1Ld. 5L Barber writes critically about people who "define the educational crisisin terms of global competition and minimal competence." What is hisproblem with this perspective? Which is a constitution? Combining liked terms. Solve these, please. 1. -6k+7k 2. 12r-8-12 3. n-10+9n-3 4. -4x-10x How did the development of irrigation improve agricultural output during the Neolithic era? Irrigation made it possible to grow rice in very dry climates. Irrigation was developed to bring water to animals on farms. Irrigation ditches were used to mark the boundaries between crops. Irrigation allowed for the movement of water to fields, even without rain. A drive-reduction and cognitive theorist would argue that depression is most strongly correlated with a deficiency in which component of fulfillment? Select the term that describes the constant mutation of the influenza virus glycoproteins over time:_________. a) Antigenic drit b) Antigenic shift c) Antigenic shock d) Albetic shin e) Allelic shift Los escritores necesitan que las publicaciones sean imprimida enseguida Yong produces silk and polyester fabrics. Management has compiled the following unit selling price and unit cost information for the fabrics: Yong uses the same weaving machine to make both types of fabric. It takes 0.5 hours to make 1 yard of polyester fabric and 0.75 hours to make 1 yard of silk fabric. The machine can be operated a total of 5,000 hours per year. What is the contribution margin per machine hour for silk? Suppose labor demand and supply are represented by the equations Demand: LD = 100 2W, Supply: LS = 2W. a. Find the equilibrium wage and employment level. b. Explain why $30 cannot be the market clearing wage. c. Suppose 5 workers are hired at a wage of $30. Show an example where an exchange can occur that is beneficial to multiple people. How much economic rent is generated by this transaction? d. If workers earn economic rent, does that mean they are being overpaid? e. Suppose all hiring in this market must be done through a union and the union has limited the supply of labor to 40 units. What wage will emerge in this market? How much economic rent have the employed members of the union gained? How much economic rent has been lost due to the limitation on union labor?