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

ans - 7120

The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.

[tex][\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}][/tex]

The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.

The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.

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Answer: y=-5x-17

Step-by-step explanation:

Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.

[tex]y+2=-5(x+3)[/tex]              [distribute right side]

[tex]y+2=-5x-15[/tex]               [subtract both sides by 2]

[tex]y=-5x-17[/tex]

Now, our equation matches y=mx+b with m=-5 and b=-17.

The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.

The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.

The conditions for inference are met.

However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.

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If a U.S. adult is selected at random, the probability that he or she has never spent any money gambling online is 95.

Gambling, the betting or staking of something of value, with consciousness of risk and hope of gain, on the outcome of a game, a contest, or an uncertain event whose result may be determined by chance or accident or have an unexpected result by reason of the bettor’s miscalculation.

Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online.

We have to find the probability of a U.S. adult selected randomly that he or she has never spent any money gambling online.

We will assume the probability of the outcome which is known as  P(E) and the probability of the outcome which we need to know as , P(E) since both are the complement of each other. Then we will substitute the value of P(E) in the formula compliment of P(E)= 1-P(E)  so as to obtain compliment of P(E)

Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online, therefore

        P(E) =5

        P(E)= 5/100

               =0.05

The probability of a U.S. adult selected randomly that he or she has never spent any money gambling online will be given as compliment of P(E) , such that

compliment of P(E)= 1-P(E)

                             =0.95

                            = 0.95/100

                            =95

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The Third side of a triangle if the two sides are given and one angle is given can be found by using the Cosine Law .

What is Cosine Law ?

The Cosine Law states that the square of any one side of the triangle is equal to difference between  sum of squares of the other two sides and double of product of other sides and cosine of the angle included between them.

In mathematical terms it  means that ;

let a , b be the the know sides and "c" be the unknown side of the triangle ABC , and the known angle be = angle C ;

So , the side c will be ⇒ [tex]c^{2}= a^{2} +b^{2} - 2ab\times Cos(C)[/tex] ;

Therefore , the Cosine Law helps in finding the missing third side .

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yes, (-2,4) is the solution of the system of equation 4x² - 4y = 0.

To check whether the given points are the solution of the given system of equation 4x² - 4y = 0. We have to put the values of x = -2 and y = 4 in the given equation. If we get the result equals zero then (-2, 4) is the solution of 4x² - 4y = 0 and if the result is a non-zero number then (-2, 4) is not the solution of 4x² - 4y = 0.

⇒4x² - 4y = 0

⇒4(-2)² - 4 × 4 = 0

⇒4 × 4 - 4 × 4 = 0

⇒0 = 0

Here we get the result equal to zero, hence (-2,4) is the solution of the system of equation 4x² - 4y = 0.

--This question is incomplete, the complete question is

''Is (-2,4) a solution of the system of equation 4x² - 4y = 0?''--

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Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:

Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.

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The equation of the line passing through (3, 6) and (6, 0) is 2x + y = 12

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

The line passes through (3, 6) and (6, 0). Hence:

y - 6 = [(0 - 6)/(6 - 3)](x - 3)

y - 6 = -2(x - 3)

y = -2x + 12

2x + y = 12

The equation of the line is 2x + y = 12

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The length of piece of wood now will be;

⇒ 0.72 meters

What is Addition?

A process of combining or adding two or more numbers is called addition.

Given that;

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Here,

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Hence, The length of piece of wood now = 0.42 + 0.3 meter

                                                                = 0.72 meters

Thus, The length of piece of wood now = 0.72 meters

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The given sequence is arithmetic because the difference between consecutive terms is constant. The common difference is 1, since the difference between each pair of consecutive terms is 1 (e.g., 5 - 4 = 6 - 5 = 1). The common difference can be expressed in simplest form as 1/1 = 1.

Answer:

it is arithmetic, 6-5=1, 5-4=1

A. ∠F corresponds to ∠F' is True.

B. Segment EE' is parallel to segment FF' is False.

C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.

D. The measure of ∠E' is One-third the measure of ∠E is False.

E. △DEF ~ △D'E'F' is True.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given:

As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.

and, The center of dilation = (0, 0)

Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).

Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)

A) ∠F corresponds to ∠F'. ( True)

B) Segment EE' is parallel to segment FF'. (False)

As they intersect each other at the origin.

C) The distance from point D' to the origin is One-third the distance of point D to the origin.    ( True)

Now, the length of DE

D = √(-9-0)² + (-9-0)²

D = 9√2

and, length of D'E'

D = √(-3-0)² + (-3-0)²

D = 3√2

Thus, DE / D'E' =  3√2/  9√2 = 1/3

D) The measure of ∠E' is One-third the measure of ∠E. ( False)

E)  △DEF ~ △D'E'F'.  ( True)

As they are similar triangles.

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Answer:

A. ∠F corresponds to ∠F'.

C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.

E. △DEF ~△D'E'F'

Step-by-step explanation:

got it right on edge 23

Let S be the amount of money the salesperson needs to sell in a week to earn the same amount with the two options. The salesperson earns 40 * $18 = $<<40*18=720>>720 with Option A.

We can set up the following equation to represent the amount of money the salesperson earns with Option B:

0.04S = $720

Solving for S, we find that the salesperson needs to sell $720 / 0.04 = $<<720/0.04=18000>>18,000 to earn the same amount with Option B.

Answer:

12%

Step-by-step explanation:

Answer:

64 sequences of 4 fish are possible.

Answer:

-x

Step-by-step explanation:

3x - y = -2y

add y to both sides

3x = -3y

divide both sides by -3

-x = y

The plane will fly 392 miles in 28 minutes. Therefore, the answer is D) 124 miles.

What is the relationship between distance and time?

The important thing is that speed is always the ratio of the distance traveled to the time needed to travel that distance: distance/time.

To find out how far the plane will fly in 28 minutes, we need to substitute x = 28 into the equation y = 14x.

y = 14x represents the relationship between the distance flown (y) and time flown (x).

Substituting x = 28 into the equation:

y = 14 * 28 = 392

Hence, the plane will fly 392 miles in 28 minutes.

Therefore, the answer is D) 124 miles.

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The output of function g(r) = -5x + 13 when r is 3 is -2.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(r) = -5r + 13

Input r = 3

g(3)

= -5 x 3 + 13

= -15 + 13

= - 2

Thus,

The output is -2.

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A function is generally indicated by f.

A mathematical expression that indicates a relationship between an independent variable and a dependent variable.

In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.

A function is generally, expressed by letters such as f, g and h and so on.

It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.

For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)

The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.

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Complete question is: What is the value of f in a function?

Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

The first figure is dilated to form the second figure, the statement according to will be the scale factor is 0.25.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.

A ratio divides two quantities in order to compare them.

As per the given information in the question,

We have two side lengths,

First figure: This represents the object length, which is a diamond with a length equal to 5.8.

Second figure:The picture length is then represented by a small diamond with sides that measure 1.45.

So, the scale factor is,

k = Image length/Object length

k = 1.45/5.8

k = 0.25.

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Answer:

24

Step-by-step explanation:

62.5 of the yellow balloons lack strings. The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the probability.

The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood. The formula is: Probability of an Event P(E) = (Number of Favorable Outcomes) (Sample space).

The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood.

A sample is created in this way, and using the data collected, the calculation can be done. The formula for calculating probabilities is probability = Favorable instances / Possible cases x 100, given as a percent.

25/40 * 100 = 0.625*100 = 62.5.

62.5 of the yellow balloons lack strings.

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Answer:

1.   f(x)=1-1/2

4.   y=10x

5.   yes

Step-by-step explanation:

1)
f(x) = 4(2 + 3x) + 3 is a linear function.

2)

The slope of the function is 6.

3)

The linear function is (1/2)x - 4.

4)

y = x² + 2 is not a linear function.

5)

No, it is not a linear function.

6)

Graph D does not represent a linear function.

7)

Graph B does not represent a linear function.

8)

Table D is a linear function.

9)

Table B is not a linear function.

10)

3x + 2y = 6 is a linear function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

1)

f(x) = 4(2 + 3x) + 3

f(x) = (1/2)x² - 5

f(x)= 5 - x²

f(x) = 1 - 1/x

The graph of each function is given below.

The red line in the graph represents f(x) = 4(2 + 3x) + 3.

This is a straight line which means it is a linear function.

2)

f(x) = 2(3x - 7)

f(x) = 6x - 14

It is in the form of y = mx + c where m is the slope.

So,

m = 6

3)

f(x) = (1/2)x - 4

f(x) = x³ - 2

The graph is given below.

The red line represents f(x) = (1/2)x - 4.

This is a linear function.

4)

y = 3x + 12

y = x² + 2

y = 10x

y = 9

The graph is shown below.

The green curve is y = x² + 2.

This is not a linear function.

5)

y = 2x² - 6

This is not a linear function because we have x².

The graph is given below.

6)

Graph D represents a non-linear function.

7)

Graph B represents a non-linear function.

8)

If the rate of change between two (x, y) from the graph is the same then it is a linear function.

Table D has the same rate of change.

Rate of change = (y(2) - y(1)) / (x(2) - x(1))

= (4 - 7) / (-1 + 2)

= -3/1

= -3

Table D is a linear function.

9)

If the rate of change between two (x, y) from the graph is the same then it is a linear function.

Table B does not have the same rate of change.

Rate of change = (y(2) - y(1)) / (x(2) - x(1))

Table B is not a linear function.

10)

The green line on the graph represents a straight line.

The green line is a linear function.

The green line is 3x + 2y = 6.

Thus,

The answers are given above.

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Answer:

a) 48 portions
b) $157.25

Step-by-step explanation:

1) 15.36/.32 to get 48 portions

2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25

Answer:

9

Step-by-step explanation:

6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over

Error interval is 35 ≤ x < 45.

Error intervals working?

Error intervals work by providing a range of values within which the true population value is likely to fall, with a certain level of confidence. The most common level of confidence used is 95%, which means that if the survey or experiment were conducted multiple times, the true population value would fall within the error interval 95% of the time.

We are looking at a rounded value when we employ error intervals. The range of values that were possible before the number was rounded is described by an error interval.

Given: A number x becomes 40 if it is rounded to 1 significant figure

To find: error interval for x

In the given question, an error interval is the range of values that a number x can be equal to before it is rounded to 1 significant figure.

As a number x becomes 40 if it is rounded to 1 significant figure, error interval is 35 ≤ x < 45.

A number x in this interval becomes equal to 40 if it is rounded to 1 significant figure.

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Answer:

Step-by-step explanation:

Let the number be x then,

1) 4 * x + 11

2) 8 * (x + 7)

3) 2x - 1

4) x+ 3x

5) 5x + 12

6) 16 + 1 + x = 17 + x

7) 20 - ( x - 5) = 20 - x + 5 = 25 - x

8) x - 6 + 15 = x +9

The class has a 45-minute, or 0.75-hour, climb to the summit planned to observe a nearby monument. The bus driver intended to travel at a steady 40 mph. Accordingly, the average speed is 0.888.

The time required to travel 20 miles at 40 mph is 30 minutes, and the time required to go 40 miles is 60 minutes. The journey of 60 miles will therefore take 90 minutes. In most cases, an hour's worth of time, this will tell you the average speed.

As a result, Ben's average speed was 50 miles per hour when he covered 150 miles in 3 hours. 40m in an hour. 12 hour to cover 20 miles. In fifteen minutes, ten miles. It is determined by dividing something's total travel distance by its total journey time. Take the earlier automobile, for instance. The average speed of the vehicle would be 70 / 2 = 35 miles per hour if it covered 70 miles in two hours.

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Complete question is: Hassan's history class is taking a field trip to the state capitol building. The capitol building is 50 miles from Hassan's school. The class plans to stop after 45 minutes, or 0.75 hours, to view a local monument. The bus driver plans to drive at an average speed of 40 miles per hour. Which equation can you use to find how many hours, x, the second part of the trip will take?

Answer:

Yes

Step-by-step explanation:

I think its yes.I think It's Yes.

In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An example of a polynomial of a single indeterminate x is x² − 4x + 7.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.

For instance, the polynomial 3x+2x-5.

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

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