700% of what number is 1,540

Step-by-step explanation:

common factor= x and y

remaining factor = x , 2 , 3

L.C.M = 6 x sq. y

The amount of money paid by each of the 4 persons will be $33.6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a group of 4 people go to a restaurant and the bill without tax comes to $105.73. The tax is 6%. Remember to round to the nearest hundredth because this is money. After-tax is added, you want to leave a 20% tip on the new total.

Total cost = $105.73 x 1.06 x 120

Total cost = $134.48

Amount for each person,

A = $134.48 / 4

Amount = $33.62

Therefore, the amount of money paid by each of the 4 persons will be $33.6.

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Answer:

x = 12

Step-by-step explanation: You start off with this

3x + 2

Then since AC is 38 you make it

3x+2=38

Then you do -2 getting rid of the 2 and doing 38 - 2 which is 36

you now have:

3x = 36

then you do 3x divided by 3 on both sides

you do 36 divided by 3 then you get

x = 12

The probability is 8/9.

From the question, we have

probability = (1/3)*(1/3)*(1/3) = 1/27 chance (all of them lie)

probability = (2/3)*(2/3)*(2/3) = 8/27 chance (all of them true).

Since, they all say it's heads.

Thus, the probability of it being heads = (8/27)/ ((8/27)+(1/27)) = 8/9.

Probability:

Chance is referred to as probability. This branch of mathematics studies the probability of a random event. The value is between 0 and 1. Probability is a concept that mathematics has adopted to predict the likelihood of particular events. Probability is just the measure of how likely something is to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will be able to comprehend the possible results for a random experiment. How likely something is to occur can be determined using probability. It might be challenging to predict many things with complete certainty. We can only predict whether an event will occur or how likely it is using it, not if it will actually occur.

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It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

The Discrete uniform distribution is a symmetric probability distribution used in probability theory and statistics. It contains a finite number of values that are equally likely to be observed; each value has an equal chance of 1/n. "A known, finite number of outcomes equally likely to occur" is another approach to describe the discrete uniform distribution.

The perfect example of Discrete uniform distribution is throwing a die. Tossing a fair dice is an easy illustration of the discrete uniform distribution. The possible results are 1, 2, 3, 4, 5, and 6, and the likelihood of a certain result is 1/6 each time the die is thrown. Because not all sums have an equal chance, the distribution that results when two dice are thrown and their values are summed is no longer uniform.  

From the above observation, we can say that the sum of the number of dots that show up when we roll three dice simultaneously will follow a discrete uniform distribution.

It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

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The percentage decrease in the number of students in the school was 10%.

The percentage refers to the ratio or proportion of students that reduced the number of the school population for the present year in comparison to last year's.

We can compute the percentage by finding the decrease in population and taking the result as a numerator of the total number in the last year and multiplying the result by 100.

Percentages represent fractional values and are usually depicted by the percentage sign (%).

The total number of students in the school last year = 1,200

The total number of students in the school this year = 1,080

The decrease in the number of students = 120 (1,200 - 1,080)

The percentage decrease = 10% (120/1,200 x 100)

Thus, we can conclude that the school population decreased by 10%.

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In tech internship

Slope of the line m is $11.50, y intercept is 0 and the point slope form is  y = 11.50x + 0

In Amusement park attendant

The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100

In tech internship

Schedule = part time (20 hours/week)

The wage = $11.50/hour

The slope intercept form

y = 11.50x

Slope of the line m = $11.50

y intercept = 0

y = 11.50x + 0

In Amusement park attendant

Schedule- full time (40hours/week)

Wage - 9/hour+ 100 bonus

The slope of the line = $9

y intercept = 100

The equation is

y = 9x + 100

Hence,

In tech internship

Slope of the line m is $11.50, y intercept is 0 and the point slope form is  y = 11.50x + 0

In Amusement park attendant

The slope of the line = $9, y intercept is 100 and Point slope form y = 9x + 100

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Answer: Your question is too long for me to answer

Step-by-step explanation:

The main difference between opinion based and informational essay is that in opinion based you have to share your own opinion reading any topic or something but in case of informative essay to have to provide particular information about the subject.

Generally speaking, an essay is a bit of writing in which the author presents their own arguments; nevertheless, this definition seems ambiguous and includes elements of letters, papers, articles, pamphlets, and short story collections. Essays are divided into two categories: formally and informally. Formal writings are distinguished by their "serious aim, dignity, logical arrangement, and length," whilst informal papers are distinguished by their "personal element."

To express your opinions on a subject and persuade the reader of your point of view, you must write an opinions essay. To accomplish it, you must first present the subject and express your viewpoint. Following that, you should provide three arguments in favor of your viewpoint. Finally, create a closing in which you summarize your case and restate your viewpoint in a new way.

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Step-by-step explanation:

they are parabolas.

their line of symmetry is exactly in the middle between their x-intercepts (when y = 0).

these x-intercepts we get from the factors : y can only be 0, when at least one of the factors is 0.

y = (x + 14)(x + 16)

means y = 0, when x = -14 or x = -16.

so, the line of symmetry is

x = -15

y = (x - 12)(x - 18)

y = 0, when x = 12 or x = 18

line of symmetry is

x = 15

y = (x + 13)(x - 17)

x = -13 or x = 17

line of symmetry

x = 2 (again, the middle between -13 and +17)

y = (x - 10)(x + 20)

x = 10 or x = -20

line of symmetry

x = -5

The remainder is 360.

When a polynomial p(x) is divided by a linear polynomial (x - a), then the remainder is equal to p(a).

Given a cubic polynomial, x³+8x²+11x-20

The zero of the linear polynomial.

Substitute it in the given polynomial.

As a result, we get the remainder.

x - 5 = 0

x = 5

Substitute 5 to x³ + 8x² + 11x - 20:

5³ + 8×5² + 11×5 - 20 = 125 + 8×25 + 55 - 20 = 160 + 200 = 360

Hence, The remainder is 360.

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By using addition and multiplication, the result obtained is

Kianna saves $3020 this year

What is addition and multiplication?

Suppose there are many numbers. To get the sum total of all the numbers, addition is used

Repeated addition is called multiplication

Addition and multiplication will be used here

Amount of money Kianna saves each month for the first 7 months = $215

Total amount of money Kianna saved in the first 7 months = $215 [tex]\times[/tex] 7

                                                                                                  = $1505

Amount of money she saves each month for the last 5 months = $305

Amount of money she saves in the last 5 months = $305 [tex]\times[/tex] 5 = $1515

Total amount of money Kianna saves this year = $(1505 + 1515)

                                                                              = $3020

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Answer:

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

Find the total cost to produce 3575 chairs. It includes the fixed costs as well as the variable cost per chair.

Add the profit we want to have

This is the minimum amount to be made from sale.

Find minimum sales price per chair:

This is matching the first answer choice.

Answer:

29

Step-by-step explanation:

1+3= 4

3+4=7

4+7=11

7+11=18

11+18=29

i came back home now....

The vertex is (-2,2), axis of symmetry is x = -2 and the parabola is downward.

From the graph:

vertex:

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

here vertex = (-2,2)

Axis of symmetry:

The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric.

x = -2.

Parabola:

It is clearly visible that the parabola is facing downward so it is a downward parabola.

Therefore the vertex is (-2,2), axis of symmetry is x = -2 and the parabola is downward.

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The algebraic proof that 10+n²-(n - 2)² is always an even number is 2(5+(2n-2))

To show that this will always give an even number, we need to express in a form that it is 2 multiplied by some positive integer

Given: n is an integer greater than 1, prove 10+ n² - (n - 2)² algebraically

10+ n² - (n - 2)² = 10+ ( n² - (n - 2)² )      (factorize difference of two squares)

                     = 10+(n-(n-2))(n+(n-2))      

                     = 10+(n-n+2)(n+n-2)         (simplify)

                     = 10+(2)(2n-2)                  (factorize)

                     =  2(5+(2n-2))

Therefore, due to the factor of 2, the given expression is always even for integer n

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Answer:

$210 in bank

Step-by-step explanation:

Kelly earned 300 dollars and put 70% of it into the bank. How much did she put into the bank?​

70% = 0.7

300 * 0.7 = $210 in bank

Using mathematical operations, Betsie should buy the 250 envelopes from Letters2go Shop at a total cost of £319.

To determine the total cost, we first determine the unit cost of an envelope at each shop.

The unit cost is multiplied by the number of envelopes required less the cost of free envelopes at Value World.

The mathematical operations used include division and multiplication.

Deals:

Letters2go

Pack of 25 envelopes for £3.19

Value World

Pack of 10 envelopes for £1.99

Buy 2 packs get 1 pack free

                                              Letters2go         Value World

Cost per pack                           £3.19                     £1.99

Cost per envelope                   £0.1276                £0.199

The number of envelopes         250                     250

The number of packs                 10 (250/25)        25 (250/10)

Cost of free envelopes                                         £24.875 (25/2 x £1.99)

Total cost of envelopes        £319 (£3.19 x 10)    £472.63 (£1.99 x 250 - $24.875)                    

Thus, using mathematical operations, the total cost of 250 envelopes at Letter2go is less than the total cost at Value World.

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The required addition of the given fraction is given as 7/6.

Given that, a mixed fraction is given 1 1 /6 we have to determine the simplified fraction.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Given fraction = 1 1 /6
This fraction is written as 1 + 1/6
Simplifying the fraction by multiplying the one with 6 and adding the product to the 1 in the numerator,
= [1×6 + 1]/6
= 7/6

Thus, the required addition of the given fraction is given as 7/6.

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The distance from B to AC can be constructed as

The distance from G to EF can be constructed as

The distance from Q to SR can be constructed as

What is the distance of a line from a point?

A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.

For the first figure,

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The value of x and y which is on midsegment of the triangle is 1 and 11.

What is midsegment?

 A triangle's midsegment is the section of the triangle's shape that connects the midpoints of its two sides. a section of a line connecting the midpoints of two triangle's sides. There are three possible midsegments in a triangle. The section of a line between the midpoints of two triangle sides is known as a midsegment. Due to the fact that triangles have three sides, they also have three midsegments. A line drawn by joining the midpoints of any two of a triangle's sides is known as the midsegment.

let us assume triangle as ABC and DE is the midsegment .

Where  DE=2x+1 and BC = 8x-2 .

According to the midsegment theorem ,

=> DE = 1/2 BC

=> 2x+1 = 1/2(8x-2)

=> 2x+1=4x-1

=> 2x=2

=> x=1

Now AB divided intp AD=3z and DB=z+22

Then, AD=DB

=> 3z = z+22

=> 2z = 22

=> z = 11.

Hence the value of x=1 and z= 11.

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First, break down the problem.  

Someone can skate 3 miles in 9 minutes.

What is their speed?  How far would they go if they did that speed for 1 minute?

To find speed given time and distance, divide distance by time.

3/9 = 1/3

Speed is 1/3 mile per minute

if they travel one minute, they will travel 1/3 of a mile

hope this helps :)

A 99% confidence interval of what the actual average mileage is for a car before it is junked is;  (153589, 174411)

The formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

s is standard deviation

n is sample size

z is critical value at confidence level

We are given;

x' = 164000

n = 48

s = 28000

CL = 99%

z-score at confidence level of 99% is 2.576

Thus;

CI = 164000 ± 2.576(28000/√48)

CI = 164000 ± 10410.78

CI = (164000 - 10410.78), (164000 + 10410.78)

CI = (153589, 174411)

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The velocity of the sign are given as follows:

a) Relative to the car: 60 kilometers an hour.

b) Relative to the ground: 0 kilometers an hour.

The relative speed of one object towards another is given by the rate of change in the position of each these objects relative to each other in regard to time.

Relative to the car, the sign gets 60 kilometers closer every hour, hence the relative speed of the sign will be of 60 kilometers. an hour.

Now, for the ground, the distance between the sign and the ground will always be the same, that is, there is no change in the distance. Hence, the velocity of the sign relative to the ground is of 0 kilometers and hour.

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The length of the garden is:  l ≥ 6225ft.

Area = L multiplied by W. Since you measure the area in square feet, your final number should reflect that.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Let l serve as a symbol for the garden's length.

Let w be the symbol for the garden's width.

The perimeter is 540 feet.

The rectangle's circumference is equal to

2(l + w)2(l + w) = 540 l + w = 270.      (1)

The rectangle's area is equal to its length times its width, which equals 12000.            (2)

Make the variable w the subject of the following equation:

w = 270 - l.   (3)

Substitute equation (3) into equation (2)

(270 - l)(l)   ≤    12000

270l  -  l²  ≤   12000

0   ≤  l²  -  270l +  12000

l²  -  270l  +  1200  ≥  0

Solving the quadratic inequality above:

l  ≥  6225

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By using a trigonometric relation we will see that the height of the kite is 8.82 feet above the point where you hold the line.

We can view this as a right triangle, where the hypotenuse has a measure of 15 feet, we know one angle that measures 36°, and the opposite cathetus to that angle is x, the height we want to find.

We want to get the value of x, which is the opposite cathetus to the given angle, then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/(hypotenuse)

Replacing what we know we will get:

sin(36°) = x/15ft

Solving this for x we get:

x = sin(36°)*15ft = 8.82ft

The height of the kite is 8.82 feet.

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Our elevation is 178 feet when the elevation of a sunken ship is 120 feet.

Given, The elevation of a sunken ship is 120 feet.

Your elevation is 58 of the ship elevation.

as it is given that the elevation of a sunken ship is 120 feet and our elevation is 58 of the ship elevation.

So, on using the concept of application of trigonometry we can conclude that our elevation is 58.

As, it is given that our elevation is 58 of the ship elevation.

So, our elevation is 120 + 58 = 178 feet.

Hence, our elevation is 178 feet when the elevation of a sunken ship is 120 feet.

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A function rule for the table:  f(x) = 2x

In this question, we have been given a table.

We need to write  a function rule for the table.

x         ƒ(x)

-3        -6

-2       -4

-1        -2

0         0

We can observe that f(x) = 2x

Therefore, a function rule for the table:  f(x) = 2x

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Answer:

b. y + 5 = -2(x + 3) or

    y = - 2x - 11

Step-by-step explanation:

Point-slope equation:

Convert this to slope-intercept form:

Correct choice is b.