3 chairs and 4 tables cost rs 7540. if the price of a chair is 220 find the price of table?

ans - 7120

Answers

Answer 1

Answer:

The price of a table is rs1720

Step-by-step explanation:

Let C and T be the individual prices of the tables and chairs.

We know that 3C + 4T = rs7540

We are then told that C = rs220, so we can enter that into the equation to find T:

3C + 4T = rs7540  

3(220) + 4T = rs7540  [for C = rs220]

660 + 4T = 7540

4T = rs6880

T = rs1720

Check:

Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?

Chairs:   rs660

Tables:  rs6880

Total = rs7540  YES


Related Questions

Why is it called revolution?

Answers

The term "revolution" is often used to refer to a dramatic and sudden change in a situation, especially  number of a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another.

Revolution is a term used to refer to a dramatic and sudden change in a situation, especially a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another, thus making it a revolution.

The term "revolution" is often used to refer to a dramatic and sudden change in a situation, especially number of a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another.

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Which is closest to the quotient 4,367 -- 0. 004?

1,000

10,000

100,000

1,000,000

Answers

Answer: 1000

Step-by-step explanation:

i took this quiz before ! !

Can u please help...................

Answers

Answer:

  (-2, 2)

Step-by-step explanation:

You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).

Circumcenter

The circumcenter is the center of  the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.

Midpoint

The midpoint of segment BC is the average of the coordinates of B and C:

  X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2

  X = (-2, 2)

The circumcenter is (-2, 2).

__

Additional comment

The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.

What is the largest positive multiple of $12$ that is less than $350?$

Answers

Answer: 348

Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.

At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

Answers

On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

what is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70

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Six times a number less 20 is the same as four times the same number increased by 6. Find the number

Answers

Answer:

13.

Step-by-step explanation:

Solution

Let X be the number.

Given information from the question, we can formulate an equation:

Six times a number less 20 = 4 times the same number increased by 6

6X - 20 = 4X + 6

From the equation, we can solve for X.

6X - 4X = 6 + 20

2X = 26

X = 26 ÷ 2

X = 13

Therefore the number is 13.

The value of the unknown number is = 13.

Let the unknown number be expressed by the variable = x.

According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:

=> 6x - 20 = 4x + 6

=> 6x - 4x = 6 + 20

=> 2x = 26

=> x = 26/2

=> x = 13

Therefore, the value of 'x' which is the unknown number is 13.

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how do i answer this q

Answers

Answer: -1/4

Step-by-step explanation:

Rate of change is just another term for slope. To calculate slope, we just need any 2 points on the graph and apply the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-2}{4-0} =\frac{-1}{4} =-\frac{1}{4}[/tex]

This means -1/4 is the rate of change.

please give a step by step explanation for this question

Answers

Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

2789\36 help me psss i have to take this test lie be so fl i like right nowww pls haelp me

Answers

Answer:

77.472222 etc

Step-by-step explanation:

Melissa tutors math. For each hour that she tutors, she earns dollars. Let be her earnings (in dollars) after tutoring for hours. Write an equation relating to . Then use this equation to find Melissa's earnings after tutoring for hours.

Answers

After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be  E = 20H.

What is meant by equation?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7. An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10. Your example is by definition an equation as an equation is any expression that contains the equals sign. Since mathematicians adore equal signs, equations frequently appear in mathematical texts. A formula is a list of steps to follow in order to produce the intended outcome.

After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be

E = 20H.

We would enter H = 17

into the formula to get Mai's pay after 17 hours of tutoring.

E = 20 × 17 E = $340 is the result.

The complete question is:

Mai tutors history. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H . Then use this equation to find Mai's earnings after tutoring for 17 hours.

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If an investment company pays 6% compounded continuesly, how much should you deposit now to have $10,000 5 years from now?

Answers

The amount of money should you deposit now to have $10,000 5 years from now is $7407.

What is compound interest?

Theoretically, continuously compounded interest means that interest is continuously earned on an account balance as well as reinvested into the balance to increase future interest earnings.

Given that If an investment company pays 6% compounded continuously and $10,000 for 5 years.

The amount of money invested will be calculated by the formula below,

[tex]P = P_o(e)^{rt}\\10000 = P_o ( e)^{0.06\times5}\\[/tex]

P₀ = 10000 / 1.35

P₀ = 7407

The amount of money invested would be 7407.

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What type of triangle do the points 3 2 (- 2 3 and 2/3 form a right triangle B equilateral triangle C isosceles triangle d none of these?

Answers

Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by [tex]D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$[/tex].

Therefore,

A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), B = [tex](x_{2} , y_{2} )[/tex] = (-2, -3)

[tex]& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}[/tex]  units

B = [tex](x_{1} , y_{1} )[/tex] = (-2, -3), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)

[tex]& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}[/tex]  units

A = [tex](x_{1} , y_{1} )[/tex] = (3, 2), C = [tex](x_{2} , y_{2} )[/tex] = (2, 3)

[tex]& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}[/tex]  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

[tex]& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\[/tex]

[tex]& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2[/tex]

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

How do you find the sides of a triangle with only the angles?

Answers

The Sides of triangle when only the angles of triangles are given can be found by using the Law Of Sines .

What is Law Of Sines ?

The Law Of Sines states that  the ratio of sides of a triangle and their respective Sine angles are equivalent to each other. The other names by which the law of sines is known  are Sine Law, Sine Rule and Sine Formula.

The Sine Law  is used to find unknown side of an oblique triangle. The oblique triangle is defined as a triangle that is not a right triangle.

Let a , b and c be the sides of a triangle ABC , and A , B and C be the angles .

So , by Sine Law : [tex]\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}[/tex] ;

Therefore , The Law Of Sines help in finding the sides of triangle that has only angles .

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You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score $x$ without the penalty.

Answers

Your score without the penalty is 9.424.

To find your score without the penalty, we need to add 0.3 points back to your final score of 9.124. We can use the linear equation:

x = 9.124 + 0.3

This equation represents the original score, represented by x, plus the penalty of 0.3. To solve for x, we need to add 0.3 to 9.124:

x = 9.124 + 0.3

x = 9.424

So your score without the penalty is 9.424.

In this equation, x is being used to represent the original score, before the 0.3-point penalty was applied. The equation x = 9.124 + 0.3 represents that the original score was 9.124 and 0.3 points were taken off due to stepping out of bounds. By solving the equation, we are able to find the original score without the penalty which is 9.424

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Dalis' employer pays $2,150 in health insurance and $86
in life insurance per year. She also gets $3,520 in paid time
off per year. Her monthly gross pay is $4,370. What are
Dalis' total job benefits?

Answers

Answer: chiki

Step-by-step explanation:

How do you find the longest angle?

Answers

The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.

What is angle?

Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.

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A calculator cost 32.00 if the sales tax is 6% what is the price ?

Answers

Answer:

Step-by-step explanation:

Here is how to solve the given problem above.

Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps.

Answer:

33.92

Step-by-step explanation:

32 times 6 divided by 100 gives you 1.92, the sales tax,

add it to 32 and then you get 33.92

What is the solution of the system of equations y =- 2x 8 y x 4?

Answers

The solution of the system of equations y =0 x=4

To solve the system of equations, we must set the two equations equal to each other and solve for x.

y = -2x + 8

y = x - 4

We start by subtracting the second equation from the first equation.

-2x + 8 = (x - 4)

We then add 4 to both sides of the equation.

-2x + 12 = x

We then subtract 12 from both sides of the equation.

-3x = -12

Finally, we divide both sides of the equation by -3.

x = 4

Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.

y = -2(4) + 8

y = -8 + 8

y = 0

Therefore, the solution of the system of equations is (4, 0).

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The complete question:

What is the solution of the system of equations  y= -2x + 8 and y = x - 4?

Can you let me know the answer please

Answers

Answer:

The answer is A

Step-by-step explanation:

When looking at this image, look at A, notice how it says y and the equal to symbol is facing it? then notice at the end of answer a is -4, look at the graph and the line intercepts -4, remeber, the end number, whether positive or negative will always be the on the y axis

Evaluate the expression!!

Answers

The given expression is equivalent to 22 for x = 17 and y = 12.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as follows -

2x - y

For x = 17 and y = 12, we can evaluate the expression as -

2 x 17 - 12

34 - 12

22

Therefore, the given expression is equivalent to 22 for x = 17 and y = 12.

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What is parallel lines Class 7?

Answers

Parallel lines are those lines that lie in the same plane and never intersect each other. They are equidistant from each other at every point and have the same slope.

Two lines are stated to be parallel when they do not meet at any point in a plane. This means that lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol used for representing parallel lines is ‘||’.

Two parallel lines are represented as:

AB║CD

That is line AB is parallel to CD.

The perpendicular length between the two parallel lines is always constant.

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d. -(y² - 2) = y²-5-2y², solve for y

Answers

Answer:

No solution

Step-by-step explanation:

-(y² - 2) = y²-5-2y²

= y^2 - 5 - 2y^2 = - (y^2 - 2)

= -y^2 - 5 =  - (y^2 - 2)

= −(y^2 − 2)

= -y^2 - 5 = -y^2 + 2

-5 = 2

We know that -5 is not equal to 2

So, there is no solution

Answer:
2

Step-by-step explanation:

Please answer the question below

Answers

Can you take the photo more clearly please? looks a bit blurry
Try making a new post using the whole paper. The top part is needed in order to solve.

Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.

Answers

Answer:

C - 5

Step-by-step explanation:

We know

Emmet had c caramels

His sister took 5 caramels, that means subtract 5, so the equation is

c - 5

Can someone help me step by step !!

Answers

Answer:

[tex]x=\sqrt{153}[/tex]

Step-by-step explanation:

[tex](\overline{BC})^2 = (\overline{AB})^2 + (\overline{AC})^2\\\\(13)^2=(x)^2+(4)^2\\\\169 = x^2+16\\\\169-16=x^2\\\\153=x^2\\\\\sqrt{x^2} = \sqrt{153}\\\\x=\sqrt{153}[/tex]

Raina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges and allows unlimited mileage. Company B has an initial fee of and charges an additional for every mile driven. For what mileages will Company A charge less than Company B

Answers

For mileages of 40 or less, Company A will charge less than Company B. For mileages above 40, Company B will charge less than Company A.

To compare the prices of the two companies, we need to determine the total cost for each company at different mileage.

For Company A, the total cost is the initial fee of $50. This is a fixed price, regardless of the mileage driven.

For Company B, the total cost is the initial fee of $30 plus the additional cost per mile driven. To calculate this, we can use the formula:

Total cost = initial fee + (mileage * additional cost per mile)

For Company B, this would be:

Total cost = $30 + (mileage * $0.50)

To find out when Company A charges less than Company B, we need to compare the total costs of the two companies at different mileage. We can set up the following inequality:

$50 <= $30 + (mileage * $0.50)

To solve for mileage, we need to isolate it on one side of the inequality. To do this, we can subtract $30 from both sides:

$20 <= (mileage * $0.50)

Then, we can divide both sides by $0.50:

40 <= mileage

So for mileages of 40 or less, Company A will charge less than Company B. For mileages above 40, Company B will charge less than Company A.

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To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C

Answers

Therefore ,the result is. It means that there exist 17 units between the two points supplied as the answer to the given distance problem.

Specify the distance.

An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of range and displacement.

Here,

6 and -3 are given (2, -2)

Points (a, b) and (c, d) are now separated by

d= √(c-a)² + ( d- b) ²

 d= √(-3+2)² + (2-6)² as a result.

=>d = √ 1 + 16 = √17

The distance between the two places is therefore 17 units.

the result is. It follows there are 17 units between the two points supplied as the answer to the given distance problem.

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What is the value of log2 log32?

Answers

the value of log2 log32 is 0.5899 and  the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.J

The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.

Logarithm

The logarithm of a number can be calculated from the following relationship:

Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

So, we have that the third expression

Therefore, this expression is the one corresponding to x-4=2^3.

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The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.

Answers

On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have

There were  = 150 tickets sold to the play

Student tickets cost $3 per ticket

so, total will be = 150* 3 = $450

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6. Shenandoah's test scores were 70, 80, 80, and 90. What was his weighted average if the

tests were weighted 1, 3, 5, and 4, in that order?

Answers

The weighted average of Shenandoah's test scores is 82.3.

What is the weighted average?

To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.

To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.

To calculate a  non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.

So in this case,

Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3

Hence, The weighted average of Shenandoah's test scores is 82.3

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When a calcium atom forms an ion, it loses two electrons. what is the electrical charge of the calcium ion? responses 2 negative 2 1 negative 1 1 1 2 A cylindrical tank has a diameter of 30m and height 20m. a) Find its volume in m, correct to two decimal places. b) What is the capacity of the tank in litres? YZ VW, WX UV, and XY UZ. Complete the proof that UVZ XWY. These are the numbers and I need the ratio to thank you!help me please it's due tomorrow !!!!!!!!!!help pleaseill get in trouble!!!! What are some of the basic responsibilities of law enforcement supervisors? Why do birds symbolize death? Solve the system of inequalities by graphing.y10x3y>12x+1 How do you find the opportunity cost of a production possibilities table? When fitting a pipe into an existing fitting it allows a diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005" what's the maximum allowable pipe diameter? a. 0.496, b. 0.501, c. 0.499, d. 0.541 Researchers have proposed a model of chloroplast evolution. According to the model, chloroplasts evolved from a small prokaryotic organism that was engulfed by an ancestral eukaryote. The engulfed prokaryote then formed an endosymbiotic relationship with the eukaryotic host.Which of the following observations best supports the model?A.Chloroplasts are separated from other subcellular compartments by semipermeable membranes.B.Prokaryotic and eukaryotic organisms both acquire nutrients from the surrounding environment.C.Eukaryotes evolved after prokaryotes and have more complex structures.D.Chloroplasts and some prokaryotes share similar photosynthetic reactions. 3. Contrast the three size-dependent physical properties. Next, circle the propertythat changes with location.MassSize-Dependent PropertiesWeightVolumeLigh Spice Here are the ideas for the question i asked before Can sombody help me whit this Describe the new ideas about government that Japan adopted and any changes the Japanese made to these ideas. Here are the ideas.Starting with Prince Shotoku, Japanese rulers adopted new ideas about government from China. China's form of government was both like and unlike Japan's. For example, the emperors in China and Japan had quite different powers. The emperor in China was the sole ruler, whereas in Japan, the emperor had only loose control over the semi-independent uji. Uji controlled their own land, and their leaders struggled among themselves for the right to select the emperor and influence his decisions.While Japanese emperors depended on local leaders, the Chinese emperor ruled with the help of a bureaucracy of government officials. At least in theory, appointments to government jobs were based on merit. Any man who did well on an examination could become an official.During the 7th and 8th centuries, Japanese rulers adopted a Chinese style of government. Japanese tradition credits Prince Shotoku with starting this development. Borrowing Confucian ideas, the prince created ranks for government officials. In 604, he issued a set of guidelines called the Seventeen Article Constitution, which stated that the emperor was the supreme ruler: In a country there are not two lords; the people have not two masters. The sovereign is the master of the people of the whole country.Later rulers went much further in bringing Chinese-style changes to Japan. In the late 7th century, Emperor Tenmu and his wife and successor Empress Jit reformed and strengthened the central government. Control of the land was taken away from clan leaders and given to the emperor. The emperor then redistributed the land to all free men and women, and in return, people paid heavy taxes to support the imperial government.By the 700s, Japan's imperial government looked much like China's. It was strongly centralized and supported by a large bureaucracy. Over time, however, one key difference emerged. Although Prince Shotoku had called for government officials to be chosen on the basis of their ability, as in China, a powerful aristocracy developed in Japan during the 9th century. As a result, members of noble families held all the high positions in the government. What is the dual of a b c d? Pythagorean theorem and its converseproblem 3:leg:16leg:xhypo:27problem 4:leg:12.8leg:5.3hypo:xproblem 518 `20x' Find the Values of x and y what is 20% of 14000 Paprus Inc. provided the following information for its manufacturing division: Revenues $650,000 Operating expenses $400,000 Service department charges $ 95,000 Invested assets $600,000 Assume that Paprus Inc. has established 20% as the minimum acceptable return on divisional assets. Determine the residual income for the manufacturing division.