At a local concert hall, the owner charges $7 per ticket. The owner must pay his band
$1200. Every customer receives a brochure that costs the owner $2 for each person.

The unknown quantity is 512.14 percent, that is 512.14% of 140 is 717

According to the question the formula that we have to use is

                                                   R*B = A        (1)

And we have been given that

                              x%  of 140 = 717          (2)

Thus we have to find the x percent. Comparing equation (1) and (2) we get,

                R =  x%

                B = 140

                A = 717

Therefore to find the value of R we will use the formula,  R = A/B

Thus,   x% = 717/140

           x % = 5.12

           x = 512.14

Hence the unknown quantity is 512.14 percent that is, 512.14% of 140 is 717

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Answer:

The y is the underlined slots in the parenthesis

x=1/30

y=315

Answer:

17.65%

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve

The Retained Earnings Balance as of the Beginning of the Year, January 1, 20XX is $10,260

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

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Answer:

D

Step-by-step explanation:

My mom is a teacher lol

Answer:

Step-by-step explanation:

[tex](\frac{720 miles}{1 hour} )(\frac{1 hour}{3600 seconds} ) (\frac{5280 feet}{1 mile} )[/tex]

Units cancel to get answer in feet per seconds.

720 x 1/3600 x 5280  = 1056 feet per seconds

1056 x 20 seconds = 21120 feet

An equation for the function is y= -[tex](x-2)^{2}[/tex]+1.

A symmetry rotation around

x-axis:

(y= f(x) → y= −f(x))

So we have:

y= −[tex]x^{2}[/tex].

A translation to the right of a=2 units:

(y= f(x) a>0 , y= f(x−a))

So, we have:

y=− [tex](x-2)^{2}[/tex]

And finally, a vertical translation of one unit up of the graph of the function, c=1

(y = f(x) → c>0,y = f(x)+c)

That is:

y= -[tex](x-2)^{2}[/tex]+1.

Symmetry (from Ancient Greek: συμμετρία Symmetry "agreement in dimensions, due proportion, arrangement")in everyday language refers to  a way  of harmonious and beautiful proportion and balance.In mathematics, "symmetry"  features a  more precise definition, and  is typically  used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart,  they're  intricately related, and hence are discussed together  during this  article.

Mathematical symmetry  could also be  observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music.

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The living room on the new​ blueprint has a width of 2m ft

In this question, we have been given the blueprint for the ​Daly's living room has a scale of 2 Inches= 3 Feet .

But the family wants to use a scale of 1 inch=2 feet.

We need to find  the width of the living room on the new​ blueprint.

Given the new scale of 1 inch = 2 feet

let m denotes the width of the living room on the blueprint.

To find the width of the living room:

width of the room = blueprint dimensions × scale

so, we get an equation,

width of the room = m × 2 ft

width of the room = 2m

Therefore, the living room on the new​ blueprint has a width of 2m ft

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Answer: The Function of g(x) = k[f(x)] = k |x|  

Following these rules we can define a vertical stretch or compression of any function.

Step-by-step explanation:

When a function of absolute values, f, is stretched or contracted vertically,

Define f(x) :

f(x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate.

Define g(x) :

The function g (x) is called an inner function and the function f (x) is called an outer function.

When the vertical component of a function f(x) = |x| is increased by a factor k,

                     g(x) = k[f(x)] = k |x|  

where k > 1,

If the same function is compressed vertically by a factor k,

                    g(x) = k[f(x)] = k |x|  

where 0 < k < 1,

Following these rules we can define a vertical stretch or compression of any function.

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The graph of the resulting polygon is shown in the image attached below.

In this problem we find a polygon generated by four vertices, whose locations are shown in the picture and whose image must be found by using rigid transformation formulas.

Rigid transformations are transformations such that the form of a geometric loci is conserved, dilations are an example of rigid transformation. The general formula of a dilation is described below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]  

Where:

If we know that O(x, y) = (- 2, 4), k = 2 / 3, T(x, y) = (7, 1), U(x, y) = (4, 4), V(x, y) = (1, 13) and W(x, y) = (- 2, 4), then the coordinates of the polygon are now determined:

T'(x, y) = (- 2, 4) + (2 / 3) · [(7, 1) - (- 2, 4)]

T'(x, y) = (- 2, 4) + (2 / 3) · (9, - 3)

T'(x, y) = (- 2, 4) + (6, - 2)

T'(x, y) = (4, 2)

U'(x, y) = (- 2, 4) + (2 / 3) · [(4, 4) - (- 2, 4)]

U'(x, y) = (- 2, 4) + (2 / 3) · (6, 0)

U'(x, y) = (- 2, 4) + (4, 0)

U'(x, y) = (2, 4)

V'(x, y) = (- 2, 4) + (2 / 3) · [(1, 13) - (- 2, 4)]

V'(x, y) = (- 2, 4) + (2 / 3) · (3, 9)

V'(x, y) = (- 2, 4) + (2, 6)

V'(x, y) = (0, 10)

W'(x, y) = (- 2, 4) + (2 / 3) · [(- 2, 4) - (- 2, 4)]

W'(x, y) = (- 2, 4) + (2 / 3) · (0, 0)

W'(x, y) = (- 2, 4) + (0, 0)

W'(x, y) = (- 2, 4)

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The jeans and cell phones produced by US will be 500 and 25 and jeans and cell phones produces by china will be 500 and 50 and the total number of jeans and cell phones is 1000 and 75.

Given that worker in the United States and a worker in China can each produce 1,000 pairs of jeans per week and A worker in the United States can produce 50 cell phones, and a worker in China can produce 100 cell phones in given time.

US: opportunity cost of jeans = 50/1000= 0.05;

1Jeans = 0.05 cell phones

China: opportunity cost of jeans = 100/1000= 0.1

1 jeans= 0.1cell phones

US: opportunity cost of cell phones= 1000/50= 20

1 cell phone= 20 jeans

China: opportunity cost of cell phones = 1000/100= 10

1 cell phone = 10 jeans

Each country will give equal time for producing each product.

Thus, each firm will produce half of its capacity when they combined there production.

So, pair of jeans US will produce in a week 1000/2 = 500 pair jeans a week

Cell phones US will produce in a week 50/2 = 25 cell phones in a week.

Similarly, pair of jeans china will produce in a week 1000/2 = 500 pair jeans a week

& Cell phones china will produce in a week 100/2 = 50 cell phones in a week.

The total number of jeans produced by the two countries combined is

500+500=1000

The total number of cell phones produced by the two countries combined is 25+50=75.

Hence, The jeans and cell phones produced by US will be 500 and 25 and jeans and cell phones produces by china will be 500 and 50 and the total number of jeans and cell phones is 1000 and 75 when United States and a worker in China can each produce 1,000 pairs of jeans per week.

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The x-intercept of the function is (-3, 0).

What is x-intercept of a function?

A function's x-intercepts are the point(s) at which its graph crosses the x-axis. The term "x-value" is commonly used to describe the x-intercept.

Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).

The x-intercept of the given function is in option (c).

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Answer: I have no idea

Step-by-step explanation: can anyone else pls help me???

Answer:

30 cm

Step-by-step explanation:

According to the given figure, the length of interval AB can be denoted by AB =6.40312.  

Let's consider the intersecting point of A and b

is p

And

AB is c

AP is 6-2= 4 units = a

BP is 6-1 = 5 units = b

Applying the Pythagorean theorem :

Pythagorean theorem,

the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2

4^2 +5^2 = 16+25

=41

c^2 = 41

C= root of 41 = 6.40312

AB is  6.40312

Algebraic proofs

The theorem can be proved algebraically using four copies of the same triangle arranged symmetrically around a square with side c, as shown in the lower part of the diagram.[5] This results in a larger square, with side a + b and area (a + b)2. The four triangles and the square side c must have the same area as the larger square,

{\displaystyle (b+a)^{2}=c^{2}+4{\frac {ab}{2}}=c^{2}+2ab,}{\displaystyle (b+a)^{2}=c^{2}+4{\frac {ab}{2}}=c^{2}+2ab,}

giving

{\displaystyle c^{2}=(b+a)^{2}-2ab=b^{2}+2ab+a^{2}-2ab=a^{2}+b^{2}.}{\displaystyle c^{2}=(b+a)^{2}-2ab=b^{2}+2ab+a^{2}-2ab=a^{2}+b^{2}.}

A similar proof uses four copies of a right triangle with sides a, b and c, arranged inside a square with side c as in the top half of the diagram.[6] The triangles are similar with area {\displaystyle {\tfrac {1}{2}}ab}{\tfrac {1}{2}}ab, while the small square has side b − a and area (b − a)2. The area of the large square is therefore

{\displaystyle (b-a)^{2}+4{\frac {ab}{2}}=(b-a)^{2}+2ab=b^{2}-2ab+a^{2}+2ab=a^{2}+b^{2}.}{\displaystyle (b-a)^{2}+4{\frac {ab}{2}}=(b-a)^{2}+2ab=b^{2}-2ab+a^{2}+2ab=a^{2}+b^{2}.}

But this is a square with side c and area c2, so

c^{2}=a^{2}+b^{2}

c^{2}=a^{2}+b^{2}

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The length of the interval AB can be expressed as AB =6.40312 using the accompanying figure.

Consider the location where A and b intersect.

is p

And

AB is c

AP is 6-2/4 units, or an.

BP equals 6-1 = 5 units + b.

Making use of the Pythagorean theorem

Pythagorean principle,

the well-known geometric theorem that states that the hypotenuse of a right triangle—the side across from the right angle—is equal to the sum of its legs' squares, or, in familiar algebraic form, a2 + b2 = c2.

4^2 +5^2 = 16+25

=41

c^2 = 41

41 divided by C equals 6.40312

AB is 6.40312

mathematic proofs

As indicated in the lower portion of the diagram, the theorem can be proven algebraically by placing four identical triangles symmetrically around a square with side c. [5] Consequently, a larger square is formed, with side a + b and area (a + b)2. The area of the larger square must be shared by the four triangles and the square side c.

{\displaystyle (b+a)^{2}=c^{2}+4{\frac {ab}{2}}=c^{2}+2ab,}{\displaystyle (b+a)^{2}=c^{2}+4{\frac {ab}{2}}=c^{2}+2ab,}

giving

{\displaystyle c^{2}=(b+a)^{2}-2ab=b^{2}+2ab+a^{2}-2ab=a^{2}+b^{2}.}{\displaystyle c^{2}=(b+a)^{2}-2ab=b^{2}+2ab+a^{2}-2ab=a^{2}+b^{2}.}

A similar proof uses four copies of a right triangle with sides a, b and c, arranged inside a square with side c as in the top half of the diagram.[6] The triangles are similar with area {\displaystyle {\tfrac {1}{2}}ab}{\tfrac {1}{2}}ab, while the small square has side b − a and area (b − a)2. The area of the large square is therefore

{\displaystyle (b-a)^{2}+4{\frac {ab}{2}}=(b-a)^{2}+2ab=b^{2}-2ab+a^{2}+2ab=a^{2}+b^{2}.}{\displaystyle (b-a)^{2}+4{\frac {ab}{2}}=(b-a)^{2}+2ab=b^{2}-2ab+a^{2}+2ab=a^{2}+b^{2}.}

But this is a square with side c and area c2, so

c^{2}=a^{2}+b^{2}

c^{2}=a^{2}+b^{2}

Answer:$6.15

Step-by-step explanation: 80 dollars divided by 13 pounds will give us a answer and we need to round down     80/13=6.15

The angels of parallelogram is 162, 18, 162 and 18.

given that A parallelogram has one angle that measures 18° means one angle is 18°

we know that

A special variety of quadrilateral called a parallelogram has two sets of opposite sides that are parallel and equal.

The sum of all the angels of parallelogram is equal to 360°

so, the other means second angle of parallelogram is 18°

Let us assume the 3rd be x.

then the 4th also be x, because the opposite sides are equal.

now sum of all angles is 360°

then x + 18 + x + 18 = 360

2x + 36 = 360

2x = 360 - 36

x = 162.

so the 3rd and 4th angles are 162°.

Hence the angels of parallelogram is 162, 18, 162 and 18.

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One gallon of pure acid must be added to get a 40% acid solution.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Given that

3 gallons of a 40% acid solution means you have (20%)×(3) = 0.6 gallons of acid already.

Let x of gallons of pure acid be added to get a 40% acid solution.

⇒ (0.6 +x)/(3+x) = 40%

⇒ (0.6 +x)/(3+x) = 4/10

Cross multiply, we get

⇒ 10(0.6+x) = 4(3+x)

⇒ 6 + 10x = 12 + 4x

⇒ 10x - 4x = 12 - 6

⇒ 6x = 6

⇒ x = 1

Therefore, one gallon of pure acid must be added to get a 40% acid solution.

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W.H. must spend $100 to fix his old water heater to reduce his overall cost

If he spends money to fix his old water heater.

Repair cost of his old water heater = $100

Electricity cost for three years as he sells his house 3 years from now = $125 * 3 = $375

Total cost If he spends money to fix his old water heater = $475

If he spends money to buy new water heater

Cost of purchasing new water heater= $ 350

Reduced yearly electricity bill = $125- 40%of $ 125 = $75

Electricity cost for three years as he sells his house 3 years from now = $75 * 3 = $225

Total cost If he spends money to buy new water heater = $575

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The third ball weighs 15 pounds.

Given that there are three bowling balls, the balls average 14 pounds.

The first ball weighs 12 pounds.

The second ball weighs 15 pounds.

We need to find the weight of the third ball.

To find the weight of the third ball, you can use the average weight formula:

Average weight = (Sum of weights) / (Number of balls)

Given that the average weight of the three balls is 14 pounds and you know the weights of the first two balls (12 pounds and 15 pounds), you can find the weight of the third ball (let's call it "x") using the formula:

14 = (12 + 15 + x) / 3

Now, solve for x:

14 = (27 + x) / 3

Multiply both sides by 3 to eliminate the denominator:

42 = 27 + x

Subtract 27 from both sides:

x = 42 - 27

x = 15

Therefore, the weight of the third ball is 15 pounds.

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꧁Helloo!꧂

・❥・・・❥・❥・・❥・・❥

It's a linear function because the formula of the linear function is

Y=mx+b

The h(x) is also considered the y its just another mathematical way of saying it.

the mx which is the slope is -2x

And since there is no B there it's only going to be considered zero

I hope iv been of help to you ^w^

・❥・・❥・・❥・・❥・・❥

The equation which equals to 20 can be x + y = 20.It can also be f(x) = 5x where x = 4 and many more.

A function behaves like an output or response to an input.The set of all inputs are known as independent variable and the set of all outputs are known as dependent variable.

According to the given question we need an equation that equals to 20.

As the type of equation is not defined we will construct a simple equation known as linear equation in two variables.

So, It can be formed by x + y = 20 this equation has an infinite no. of solutions.Some of them are (1,19), (2,18),.....(19,1).We can also go by negative number and a positive number.

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The total estimated weight of the three pieces of the fruit is 45 g.

Combining things and counting them as one big group is done through addition. Addition is the process of combining two or more integers in mathematics. The addends are the numbers that are added, whereas the total is the result of the operation.

Given: The weight of three pieces"

8.712 g

14.125 g

21.926 g

The estimated weight of the three fruits will be:

8.712~ 9 g

14.125 ~ 14 g

21.926 ~ 22 g

So, the total estimated weight of the three pieces of the fruit = 9 + 14 + 22

The total estimated weight of the three pieces of the fruit = 45 g                                                    

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Based on the amount invested into the two accounts and their interest rates, the amount invested at each rate is:

Assuming the amount invested at 2% is x, then the formula for this amount would be:

0.02x + 0.08 (6,000 - x ) = 360

Solving for x gives:

0.02x + 0.08 (6,000 - x ) = 360

2x + 48,000 - 8x = 36,000

6x = 12,000

x = 12,000 / 6

x = $2,000

The amount invested at 8% is:

= 6,000 - 2,000

= $4,000

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Answer:

5

Step-by-step explanation:

Hope this helps :)

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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According to the question, the fraction of a decimal number can be calculated by removing the decimal from the given number and substituting the zeros in the denominator.

The expression for the fraction can be written as:

Required fraction = 57.036 = 57036/1000

Divide the calculated term by four:

Required fraction = 14259/250

Therefore, the given term can be expressed in the best form as 14259/250.

What is fraction?

Fraction is a natural numbers which can be represented as a rational number. And it is divided into two parts, first part is known as numerator and second part is denominator.

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Answer:

[tex]17[/tex] and [tex]20[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the larger one of the two positive integers ([tex]x > 0[/tex].) The smaller integer would be [tex](x - 3)[/tex]. The square of the larger integer would be [tex]x^{2}[/tex].

The sum of the smaller integer and the square of the larger integer is [tex](x^{2} + (x - 3))[/tex]. If this sum is equal to [tex]417[/tex], then:

[tex]x^{2} + x - 3 = 417[/tex].

[tex]x^{2} + x - 420 = 0[/tex].

Solve this quadratic equation for [tex]x[/tex] through factorization. Since [tex]420 = 21 \times 20[/tex]:

[tex]x^{2} + x - (21 \times 20) = 0[/tex].

[tex]x^{2} + 21\, x - 20\, x + (21)\, (-20) = 0[/tex].

[tex](x + 21)\, (x - 20) = 0[/tex].

Thus, either [tex]x = 20[/tex] or [tex]x = (-21)[/tex] by the Factor Theorem. However, since [tex]x > 0[/tex] (the two integers are both positive,) only [tex]x = 20[/tex] is a valid solution.

Hence, the larger one of the two integers would be [tex]20[/tex]. The smaller one of the two integers would be [tex](x - 3) = (20 - 3) = 17[/tex].

Answer: I want to say 3/4

Step-by-step explanation:

In the linear equation, The value of the x and y are 11/6, -5 and  18/4.

According to the statement

We have to find that the value of the x and the y.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equations are :

(4y - 18)

(6x - 11)

(x + 5)​

Now take all equation equal to zero.

Then

4y - 18 = 0

y = 18/4

And then

6x - 11 = 0

x = 11/6

And then

x + 5 = 0

x = -5.

So, In the linear equation, The value of the x and y are 11/6, -5 and  18/4.

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