What is the solution to the proportion? Start Fraction 3 y minus 8 over 12 End fraction equals start fraction y over 5 End Fraction?

Answers

Answer 1

we have that

(3y-8)/12=(y/5)---------> 5*(3y-8)=12*(y)
15y-40=12y-------------> 15y-12y=40
3y=40--------------> y=40/3

y=(40/3)----------> 13.33

the answer is y=40/3 (13.33)

Answer 2

Answer:

1.78

Step-by-step explanation:

To solve for x we need to cross multiply it

We have = sign in between the fractions so we cross multiply it

9*x = 2* 8

9x = 16

Now we divide by 9 on both sides

so x= 1.7777777778

When we round to two decimal places then

x= 1.78

Related Questions

what are the lengths of the other two sides of the triangle?

Answers

To solve for area of a triangle u multiply base times height times 1/2

What is the slope of the line that passes through (10,0) and is parallel to y=1/2x+3

Answers

Answer: 1/2

Explanation: The slope of the given line y = 1/2x+3 is 1/2 as its the coefficient in front of the x. Any line parallel to this will also have a slope of 1/2. Parallel lines have equal slopes. The info about (10,0) is unneeded. It was likely put in there to throw you off.

In order to circumscribe a circle on a triangle, which line must you construct?

a.median

b.altitude

c.diagonal

d.perpendicular bisector

Answers

The answer is the option d.Perpendicular bisector.

Explanation:

By definition, a circumscribe circle passes through the three vertices of the triangle and to its constrution, you have to draw the triangle and then construct a perpendicular bisector to each side of it. The point where these perpendicular bisectors intersect each other, will be the center of the circle. Then, you should place the compass on the center point to draw the circle.

The answer is in fact perpendicular bisector

An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?

Answers

hmmm, as I read it, in year 1, but it doesn't say at the beginning of the year or end, so we'll be assuming is at the beginning of year 1, the amount is 850, how much will it be at the beginning of year 6? namely, 5 years later.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$850\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=years\to &5 \end{cases} \\\\\\ A=850[1+0.08(5)]\implies A=850(1.4)[/tex]

Simple interest can be calculated by using the following:
A = P(1 + rt) where A is the total amount of principle and interest: P is the initial investment; r is the rate of interest; and t is the time

Using P = 850, r = .08, and t = 5
A = 850(1+ .08(5))
A = 850(1.4)
A = 1190 the amount in the account in year 6

The proof that HG ≅ EG is shown. Given: G is the midpoint of KF KH ∥ EF Prove: HG ≅ EG What is the missing reason in the proof? Statement Reason 1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅ 2. KH ∥ EF 2. given 3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅ 4. G is the midpoint of KF 4. given 5. FG ≅ KG 5. def. of midpt. 6. △FEG ≅ △KHG 6. ? 7. HG ≅ EG 7. CPCTC SAS ASA AAS HL

Answers

In the proof we see that ∠EGF is congruent to ∠HGK because they are vertical angles. We also see that KG is congruent to FG because G is the midpoint. Additionally we have that ∠F is congruent to ∠K because they are alternate interior angles. We have two angles and the side between them, or ASA.

how do you do #8,9,10 ?? thank you !!

Answers

8. g(x) = 3f(x +2)
.. 3 represents a vertical expansion factor of 3
.. 2 represents a left shift of 2 units

9. g(x) = -2f(x)
.. 2 represents a vertical expansion factor of 2
.. the minus sign is a reflection across the x-axis

10. g(x) = f(x -1) +3
.. 3 represents a vertical shift upward by 3 units
.. -1 represent s right shift of 1 unit

Which unit would you use to measure the weight of an elephant? mg g kg km

Answers

The unit is kilograms, kg.

justin runs at a constant rate, traveling 17km in 2 hours whats the equation

Answers

If you mean how much he travels in one hour
17km/2 h=8.5 km/hour

Justin's constant rate of running can be represented by the equation

=17/2 =8.5, where r is his speed in kilometers per hour. This indicates that Justin runs at a steady pace of 8.5 kilometers per hour.

To find the equation that represents Justin's constant rate of running, we can use the formula for speed, which is distance divided by time. Given that Justin travels 17 km in 2 hours, we can use these values to determine his speed.

Step 1: Identify the variables:

Let's denote:

d as the distance traveled (in kilometers)

t as the time taken (in hours)

r as the rate or speed (in kilometers per hour)

Step 2: Write down the formula for speed:

Speed =Distance/Time

Step 3: Plug in the given values:

We know that Justin travels 17 km in 2 hours. So,

d=17 km and t=2 hours.

Step 4: Calculate the speed:

=17/2=8.5 km/hr

Step 5: Write down the equation:

Now that we know Justin's speed is 8.5 km/hr, we can express it as an equation:r=8.5

So, the equation representing Justin's constant rate of running is:

r=8.5

This equation states that Justin's speed is always 8.5 kilometers per hour, regardless of the distance he travels. It's a linear equation because his speed remains constant over time

complete question=

Justin runs at a constant rate, traveling 17 kilometers in 2 hours. What is the equation that represents Justin's rate of running?"

in the inverse variation function, what happens to the output when the function's input value is divided by 3?

Answers

9 because it gets tripled

Answer: The function's output value will get multiplied by 3

Step-by-step explanation:

Two variables x (input value) and y (output value) are said to be in inverse variation if [tex]xy=k[/tex] for some constant k.

The equation for inverse variation can be written in the form :-

[tex]y=\frac{k}{x}[/tex], where k is a constant.

When the function's input value is divided by 3, then the new input value would be

[tex]x_1=\frac{x}{3}[/tex]

Now, the equation to find the new output value corresponding to new input value would be

[tex]y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y[/tex]

Hence, When the function's input value is divided by 3, then the function's output value will get multiplied by 3.

Nina has 2 cups of flour. However, this is only 1/4 of the amount of flour she needs for a bread recipe. How many cups of flour does the recipe call for?

Answers

She needs 8 cups of flour for her recipe.

Nina has 2 cups of flour.

However, 2 cups of flour is only 1/4 of the amount of flour she needs for a bread recipe.

Therefore, quantity of flour which Nina needs for a bread recipe is four times the present quantity

The cups of flour which Nina needs for a bread recipe = 2 / (1/4)

= 2 *4 cups

= 8 cups

Hope this helps..!!

Thank you :)

If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?

Please show how you did it!

Answers

The answer is 11.3. You just take all the directions and you do the opposite operation.

Work

Step 1 - 37.5 x 0.8 = 30

Step 2 - 30 - 1.75 = 28.25

Step 3 - 28.25 divided by 2.5 = 11.3.

Step 4/ Final Answer - 11.3

lets take the certain number and call it 'x'
take 2.5 of the number = 2.5x
when we add 1.75 - 2.5x + 1.75
and divide by 0.8 - (2.5x+ 1.75)/0.8
the answer is 37.5
lets construct an equation with this information
(2.5x + 1.75)/0.8 = 37.5
2.5x + 1.75 = 37.5* 0.8
2.5x = 30 - 1.75
2.5x = 28.25
x = 28.25/2.5
x = 11.3

Solve for X:
X + 25 = 45

Answers

Hello!

All you have to is isolate the X variable :)

X + 25 = 45
X = 45 - 25

X = 20

I hope this helps :))

X = 20

Hope this helps ;)

In the game of roulette, a player can place a $55 bet on the number 3434 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3434, the player gets to keep the $55 paid to play the game and the player is awarded an additional $175175. otherwise, the player is awarded nothing and the casino takes the player's $55. what is the expected value of the game to the player

Answers

the correct question is
In the game of roulette, a player can place a $5 bet on the number 34 and have a 1/38 probability of winning. if the metal ball lands on 34, the player gets to keep the $5 paid to play the game and the player is awarded an additional $175. otherwise, the player is awarded nothing and the casino takes the player's $5. what is the expected value of the game to the player

we know that
P(winning) = 1/38
P(losing) = 1-1/38 = 37/38
Expected value = 175*1/38 - 5*37/38
175/38 - 185/38 = - 10/38 =-$0.2632

The player's expected value is -$0.2632 ( is losing)

The inverse of f(x)

Answers

x=-6(y-2)
x=-6y+12
x-12=-6y
-1/6x+2=f^-1(x)

The figure below shows triangle NRM with r2 = m2 + n2:

Triangle NRM has legs m and n, and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n, as shown below:

Triangle EFD has legs m and n and hypotenuse f.

He made the following table to prove that triangle NRM is a right triangle:

Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD ?
6. Angle NRM is a right angle CPCTC
7. Triangle NRM is a right triangle Angle NRM is a right angle

Which reason best fits statement 5?
SSS Postulate
SAS Postulate
AAA Postulate
AAS Postulate

Answers

Triangle NRM has legs m and n, and r is the length of its longest side.

and given that ⇒ r² = m² + n²
Ben constructed a right triangle EFD with legs m and n

so, both of the triangles NRM and EFD have legs with sides m and n

beside that the third side of NRM is equal to the third side EFD, i.e ⇒ r = f

which is proved from the statement number 4

So, the sides of the triangle NRM are congruent to the sides of triangle EFD

So, the reason which best fits statement 5 is ⇒ [tex]\framebox {SSS \ Postulate} [/tex]

Answer:

Option "SSS postulate" is correct.

Step-by-step explanation:

Given that: Triangle NRM has legs m and n, and r is the length of its longest side.

and r² = m² + n².

Now, Ben constructed a right triangle EFD with legs m and n.

and in statement 4, it is proved that f=r.

So, all the three sides of the triangles NMR and EFD are congruent.

So, the triangles are congruent bt the SSS Postulate.

⇒ option "SSS postulate" is correct.

If CDEF ≅ MNPQ, then ≅ DE ≅

a. NP
b. PQ
c. NQ
d. MN

* there's no picture this is all the information the question gives me *

Answers

The answer is A.NP.

Answer:

The correct option is a.

Step-by-step explanation:

It is given that CDEF ≅ MNPQ.

We need to find the side of MNPQ which is congruent to the side DE.

The corresponding parts of congruent figures are congruent.

Since CDEF ≅ MNPQ, therefore the corresponding sides of both figures are congruent.

[tex]CD\cong MN[/tex]

[tex]DE\cong NP[/tex]

[tex]EF\cong PQ[/tex]

[tex]CF\cong MQ[/tex]

The side NP is congruent to side DE. Therefore the correct option is a.

Which equation of the least squares regression line most closely matches the data set?

Note: The variable x represents the years after 1970.

Y= -5.7x-67
Y= -0.98x+65
Y= -0.17x+76
Y= -5.7x +67

Answers

Judging by the first and last points (0, 65), (8, 21), the slope is about -44/8 = -5.5 and the y-intercept is about 65.

The 4th selection is appropriate.

Answer:

D. [tex]y = -5.7x + 67[/tex]

Step-by-step explanation:

Let us take the year 1970 as the 0th year.

So, the corresponding table of values is,

x y

0 65

2 58

4 45

6 32

8 21

Using the linear regression calculator, we see that,

The closest equation of the regression line is [tex]y = -5.7x + 67[/tex].

Can someone help me please?

Answers

Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.

find the number of liters in 90 gallons

Answers

number of liters)- 340.687

30 POINTS!!! HELP PLEASE!
Model each scenario with an equation and a sketch. Solve for the missing value and u. Use complete sentences to interpret the solution. In your final answer, include your equation, sketch, interpretation, and all calculations necessary for the solution.

1.) To get home from school, Bob walks four blocks north and three blocks east. What is the straight line distance between Bob’s house and his school?

2.)One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a fourteen foot ladder. When you arrive at your first job, you place your ladder on the ground six feet from the base of the house and lean it towards a second story window, only to realize that the ladder doesn’t reach the window. Given the length of the ladder and its current position, what is one possible height of the second story window? (Hint: There is more than one correct answer.)

3.) In a softball diamond, each of the bases, including home plate, are equidistant from each other. Although the name implies differently, a softball diamond is in the shape of a square. Given that the distance between the bases is unknown, determine an expression for the straight line distance between first and third bases.

4.) A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?

Answers

#1) In the sketch, the school is located at coordinates (1, 1). Going north (up) 4 blocks and east (right) 3 blocks to get home places it at (4, 5). The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Using our coordinates we have:
[tex]d=\sqrt{(4-1)^2+(5-1)^2} \\=\sqrt{3^2+4^2} \\=\sqrt{9+16} \\=\sqrt{25} \\=5[/tex] His house is 5 blocks from the school in a straight line.
#2) The ladder (14 ft) forms the hypotenuse of a right triangle, with the legs being the distance from the house (6 ft) and the height of the ladder (b ft). This gives us:
[tex]6^2+b^2=14^2 \\36+b^2=196[/tex]
Subtract 36 from both sides:
[tex]36+b^2-36=196-36 \\b^2=160[/tex]
Take the square root of both sides:
[tex]\sqrt{b^2}=\sqrt{160} \\b=12.6[/tex]
One possibility for the height of the second story window is 13 feet, since it is longer than 12.6.
#3) The distance from 1st base to 3rd base forms the hypotenuse of a right triangle, with each leg being equal to s, the side length of the square formed by the baseball diamond. Using the Pythagorean theorem we have:
[tex]s^2+s^2=d^2[/tex], where d is the distance from 1st to 3rd. Combining like terms gives us [tex]2s^2=d^2[/tex]. Taking the square root of both sides we have [tex]\sqrt{2s^2}=\sqrt{d^2} \\s\sqrt{2}=d[/tex] (this is due to the fact that square root cancels a squared variable, so s comes out of the radical sign).
#4) The straight distance from the boat's original position to its new position forms the hypotenuse of a right triangle, with the legs being the distance west (600) and the distance south (800) it traveled. Using the Pythagorean theorem we have:
[tex]600^2+800^2=d^2 \\360000+640000=d^2 \\1000000=d^2[/tex]
Taking the square root of both sides we have
[tex]\sqrt{1000000}=\sqrt{d^2} \\1000=d[/tex]
The straight distance between the two points would be 1000 meters.

kangaroo wants to arrange the twelve numbers from 1 to 12 in a circle in such a way that any neighboring numbers always differ by either 1 or 2 which of the following pairs of numbers have to be neighbors

Answers

Start by laying out the 12.
The neighbors of 12 must be 11 and 10.
The neighbor of 11 must be 9, and the neighbor of 10 must be 8, and so on and so forth, until you get a unique arrangement.

20 POINTS!!
In two or more complete sentences, explain what additional information is needed to prove triangle CES congruent to triangle RST.

Answers

congruent means they are the same size

To prove the two triangles are congruent you would need to know the length of at least two of the sides. If two sides were not known you would need to know the length of one side and at least one of the unknown angles.

Answer:

The additional info that would help us better determine if the triangle CES is congruent to Triangle RST would be the angles measured degree. This would help us better determine the answer due to the fact that providing the angles S, E & T's exact degree will help us make sure they are congruent triangles.

Step-by-step explanation:

Odyssey

Please help quickly for 5 stars and brainliest!!

1. Omar set off a rocket in a field. The height h of the rocket in feet can be roughly estimated using the formula

h = -16t^2 + 128t, where t is the time in seconds. How long will it take the rocket to reach a height of 240 feet?

2. Josefina tosses a ball upward with an initial velocity of 76 feet per second.

She tosses it from an initial height of 2 feet. Find the approximate time that the ball hits the ground.

Use the function h(t) = -16t^2 + 76t + 2

Round to the nearest second.

3. Brandi, an amateur skier, begins on the "bunny hill," which has a vertical drop of 200 feet.

Her speed at the bottom of the hill is given by the equation v^2 = 64h, where the velocity v is in feet per second

and the height h of the hill is in feet. Assuming there is no friction, approximate Brandi's velocity at the bottom of the hill.

Answers

1.
Height h = 240 feet
We insert it into formula.
[tex]240 = -16 t^{2} +128t[/tex]
Now we solve this for t:
[tex]16 t^{2} -128t +240 = 0 /16 \\ t^{2} - 8t +15 =0 \\ t_{1} = 5 t_{2} = 3[/tex]

We have two answers as the rocket will pass this height on it's way up and down.

2.
Height h = 0 feet
We insert it into formula.
[tex]0=-16 t^{2} +76t + 2[/tex]
Now we solve this for t:
[tex]16 t^{2} - 76t -2 = 0 /2 \\ 8t^{2} - 38t - 1 = 0 \\ t_{1} = 5 t_{2} = -1[/tex]
We do not consider solution -1 as the time can not be negative. Our solution is 5s.

3.
Height at bottom of hill h = 0 feet
We insert it into formula.
[tex] v^{2} = 64 * 0 = 0 ft/s[/tex]

A 72?? sector in a circle has an area of 16.4?? yd??.

What is the area of the circle?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

Answers

The answer to this is 257.48

How do I find the slope of (2,3) and (5,9) by showing all of my work

Answers

(2,3) and (5,9) You are suppose to subtract the y axis from the x axis. You´re going to do 9 - 3 which is 6. Then, you are going to do 5 - 2 which is 3. You should get 6/3. This simplifies to 2. So, you slope is going to be 2. I hope this helps!

Slope=rise/run or we can write it as y1-y2/x1-x2.

(Hint: y is the rise and x is the run. To find slope, we need to know the change in “y” and the change in “x.” That is where the formula comes from)

2 will be x1
3 will be y1
5 will be x2
9 will be y2

You will get 3-9/2-5
Then: -6/-3
Then: 2

The slope is 2.

(Although this works with linear functions, for non-linear functions we use derivatives. I’m assuming you are using a linear function. Assuming the two points are on a linear function, the slope is 2)

A group of kindergartners and first graders were asked whether or not they can ride a bike. This table shows the relative frequencies of the rows for the two-way table representing this situation. Select from the drop-down menus to complete the statement. The percent of kindergartners surveyed who can ride a bike is (choose-greater than ,less than, equal to) the percent of first graders surveyed who can ride a bike.
   Can ride a bike Cannot ride a bike
Kindergartners.   0.32. 0.68
First graders.    0.56.   0.44

Answers

The percentage of kindergartners who can ride a bike is less than because 0.32 is less than 0.68. 32 is less than 68. (READ YOUR QUESTIONS BEFORE POSTING.)

Answer: The percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

Step-by-step explanation:

Given: The table shows the relative frequencies of the rows for the two-way table representing this situation.

The relative frequency for kindergartners surveyed who can ride a bike=0.32

Then, the percent of kindergartners surveyed who can ride a bike=[tex]0.32\times100=32\%[/tex]

The relative frequency for First graders surveyed who can ride a bike=0.56

Then, the percent of First graders surveyed who can ride a bike=[tex]0.56\times100=56\%[/tex]

Clearly, 32 is less than 56.

Therefore, the percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidentally recorded it as credit rather than as a debit. How will his check register compare to his monthly bank statement when he receives it?

Answers

Answer: the balance in his check register will be $76 over the balance on his bank account

A quadrilateral with two sets of parallel sides and four right angles is a
parallelogram
rhombus
rectangle
trapezoid

Answers

Its a parallelogram
thats the answer

The correct answer is a rectangle.

1
Which mathematical symbol would best fill in the blank to compare the two real numbers? 7.6 repeating____55 squared

<
>
=
≈

2
Convert 11.42424242 … to a rational expression in the form of a/b , where b ≠ 0.

42/999 with 11 whole number
42/9990 with 11 whole number
42/99 with 11 whole number
99/42 with 11 whole number

3
Order the set of numbers from least to greatest: -5/6, -5, -26 squared, -31/6

4
Identify the number that does not belong with the other three. Explain your reasoning
50.1 reapting , -50/2, , -50.1, 50 squared

Answers

Hey there! :D

1. 7.6 repeating ____ 55 squared

Find 55 squared.

7.6 < 3025

7.6 is less than 7.4.

2. We already know we have 11 as the whole number.

When you have a repeating decimal, you can keep it as a fraction but use 99 as the denominator.

42/99 with the 11 whole number is the answer.

3. -31/6, -5, -5/6, -26^2 <== least to greatest.

-31/6= -5.16667 -26^2= 676

4. I think the 50 is the square root. Everything else can be represented as a fraction or ratio. The square root of 50 is irrational, and cannot be represented by a fraction or ratio. 50 squared is the one that doesn't belong.

I hope this helps!
~kaikers

find the greatest common factor: 14a^4 + 35a^9

Answers

the answer to your question is 7a^4

Other Questions

According to the wellness requires multifaceted approach article focusing on social worker wellness (self care) means _______. lower stress levels and more productive and committed social workers. eliminating "on the job" stress. providing cash bonuses for being the most relaxed. having trainings on how to engage in self care. what are 3 factors that affect air quality? The area(s) of the world where child labor is most prominent is/are Bravery can help you to do something that is new, frightening, or dangerous. People may need bravery to speak out against injustice or persevere when a task is difficult. Think about an event in your life that required bravery. Write a personal narrative that recounts the event. Describe what happened and the impact the event had on your life. As you write, remember your essay will be scored based on how well you:develop a multi-paragraph response to the assigned topic that clearly communicates the purpose of your story to the audiencedescribe the characters, setting, and conflict using meaningful sensory descriptions and details that enable the reader to visualize the experiences in your narrative.organize your story in a clear and logical manner, including an introduction, body, and conclusion.use well-structured sentences and language that are appropriate for help!!! 10pts!!The coordinates of the vertices of triangles are listed in the options below. Which is a right triangle? D(2, 3), E(5, 7), F(6, 9) A(3, 2), B(3, 9), C(2, 4) P(6, 2), Q(1, 0), R(3, 2) X(3, 1), Y(4, 3), Z(1, 8) Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each.Design component Number of optionsPrimary color 8Secondary color 8Sole color 8Lace color 5How many different shoe combinations can Arturo create? Which of the following items is not one of the subjects of this story? a. The British educational system b. Social class and snobbery c. The sportsmanlike values of the cricket field d. The cruelty of children What do historians mean when they refer to the historical context of an event The expression below is the factorization of what trinomial? (2x + 7)(4x - 3) A.8x2 + 22x + 4 B.8x2 + 28x - 21 C.8x2 + 28x + 4 D.8x2 + 22x - 21 How many different triangles can be drawn with one 60 angle and two sides measuring 2 inches each? In the two triangles below, all angles equal 60 degrees and ab = ef. are the two triangles congruent? Unlike in most other Eastern European countries, the fall of communism in Romania involved significant bloodshed. Identify at least three reasons why the revolution took place. At was the goal of the Selma March If you wanted to design a drug to prevent prokaryotic cells from attaching to substrates, which structure should the drug attack? If the above two waveforms were sound waves, we would hear the ___________ wave louder. If the above two waveforms were light waves, we would see the ________ wave dimmer. A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap aroiund the track? Round to the nearest tenth. Someone pleaser help me ! The local radio station played 9 hip-hop songs and 6 hard rock songs in one hour. What percent of the songs played during this hour was hip-hop? Which of these is an example of a tax on consumption? What did the case of Marbury v. Madison establish for the courts, and what does that mean? Equal power for the legislative and executive branches of government was established which means both had to follow the laws outlined in the Constitution. "Due process" was established which means the government must respect all of the legal rights owed to a person under the Constitution, even if that person is accused of a crime. "Freedom of Expression" was established, which means citizens can seek, receive, and impart information orally, or in writing, without censorship. The court's power of judicial review was established which means the court has the power to review and determine if laws or acts of government are unconstitutional.