A certain state uses the following progressive tax rate for calculating individual income tax: Progressive Income Range ($) Tax Rate 0 - 10,000 10,001 - 50,000 50,001 - 100,000 3% 5% 5.5% Calculate the state income tax owed on a $90,000 per year salary. tax = $[ ? ] Round your answer to the nearest whole dollar amount.

The system of equations to model this situation is given by;

x + y = 461

3x + 4y = 1624

The school sold 220 students tickets and 241 adult tickets.

let

Number of students tickets = x

Number of adults tickets = y

x + y = 461

3x + 4y = 1624

From (1)

x = 461 - y

Substitute into (2)

3x + 4y = 1624

3(461 - y) + 4y = 1624

1383 - 3y + 4y = 1624

- 3y + 4y = 1624 - 1383

y = 241

Substitute into (1)

x + y = 461

x + 241 = 461

x = 461 - 241

x = 220

In conclusion 220 students tickets and 241 adults tickets were sold.

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Answer:

konsi bhasha h bhai ye?

Step-by-step explanation:

i dont understand

18 Kilos

Step-by-step explanation:

2646 /147 = 18

Since you cannot have a partial week, it would take Alex at least 5 weeks to work 51 hours at this rate.

Time and work is a mathematical concept that includes determining the amount of time necessary to do a specific quantity of labor. This idea is frequently applied in daily life and a number of industries, including manufacturing, construction, and project management.

Problems with time and work include two factors: the quantity of employees and the amount of time needed to finish a task. The quantity of effort is fixed and unchanging. The formula Work = Time * Number of Workers must be applied in order to overcome these issues.

For instance, if a task requires three people to finish it in six hours, the total quantity of work completed is six hours multiplied by three, or 18 hours.

How to solve?

If Alex works 3 hours a day and 4 days a week, he works a total of 3 hours * 4 days = 12 hours per week.

To work 51 hours, it would take Alex 51 hours / 12 hours/week = 4.25 weeks.

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Answer:

A store has apples on sale for $21.00 for 6 pounds.if an apple approximately 5 ounces,how many apples can you buy for $168.00?  

you can buy approximately 256 apples

Step-by-step explanation:

Part 1 The cost per pound of the apples on sale is —3.50—-

Part 2 you can buy——48——pounds of apples for $168.00

Part 3 since 1 pound =16 ounces,so there are about __3__apples in each pound

Part 4 you can buy approximately—256— apples for $168.00

The correct option using linear equations is [tex]y\leq 2.85x[/tex].

What are linear equations?

A linear equation is one with variables of power 1, such as ax+b = 0, where x is the variable and a and b are fundamental values. Equations are claims that two mathematical expressions comprising one or more variables are equal. The term "linear equation" refers to an equation where the greatest power of the variable is one.

Since the budget is y, the total amount spent on fuel must be less than or equal to the budget. Since it is $2.85 per gallon, the correct equation would be [tex]y\leq 2.85x[/tex].

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Answer:x=8

Step-by-step explanation:

3x/2-5=7

Move all terms not containing x to the right side of the equation by adding 5 to both sides

3x/2-5+5=7+5

3x/2=12

Multiply both sides of the equation by 2/3 to isolate x.

3x/2*2/3=12*2/3

x=24/3

x=8

Answer: x= 8

Step-by-step explanation:

3x/2-5=7

3x/2 = 12

3x = 24

x= 8

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The next time Maria will do both workouts on the same day is 15 days

Find the lowest common multiple (LCM) for both weight days and long-run days

3 = 3 , 6, 9, 12, 15, 18, 21

5 = 5, 10, 15, 20, 25, 30

The lowest common multiple (LCM) for both weight days and long-run days is 15

Therefore, Maria will do both workout again in 15 days time.

Complete question:

The chart shows Maria's workout schedule. Today she worked out with weights and then had a long run. When is the next time Maria will do both workouts on the same day? Weights every 3 days and long run every 5 days

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To find the minimum sample size needed to estimate the mean of a population with a certain level of confidence and margin of error, you can use the following formula: n = (Z^2 * p * (1 - p)) / e^2

What is mean?

The mean, also known as the arithmetic average, is a measure of central tendency that represents the average value of a set of data. To calculate the mean of a set of numbers, you add up all the numbers in the set and then divide the sum by the number of numbers in the set.

n is the minimum sample size
Z is the z-score corresponding to the desired level of confidence (e.g. for a confidence level of 92%, the z-score would be approximately 1.75)
p is the estimated proportion of the population that has the characteristic of interest (e.g. if you are trying to estimate the mean age of a population and you believe that about 50% of the population is within 5 years of the true mean age, then p would be 0.5)

e is the margin of error (e.g. if you want the error to be within 5 years of the true mean age, then e would be 5)

Plugging in the values given in the problem, we get:

n = (1.75^2 * 0.5 * (1 - 0.5)) / 5^2

= (3.0625 * 0.5 * 0.5) / 25

= 0.122 / 25

= 0.0049

Since sample size must be a whole number, we would need to round up to the nearest integer, which would be a minimum of 1 sample. However, it is generally recommended to use a larger sample size to increase the precision and reliability of the estimate.

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Answer:

P ≈ 43.6 cm

Step-by-step explanation:

the perimeter (P) is the sum of the 2 radii and the arc

arc length = circumference of circle × fraction of circle

                 = 2πr × [tex]\frac{135}{360}[/tex]

                 = 2π × 10 × 0.375

                 = 20π × 0.375

                 ≈ 23.6 cm ( to 1 decimal place )

Then

P = 23.6 + 10 + 10 = 43.6 cm

The equation of line is y = -2x - 8 and the slope is -2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -2x - 8   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

The slope of the line m = -2

The y intercept of the line b = -8

Now , the graph of the linear equation is given below

Hence , the equation of line is y = -2x - 8

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[tex](2x^2 + 5x + 7) + ( - 1,022 - 7x + 1)\\\\2x^2 + 5x + 7 - 1,022 - 7x + 1\\\\2x^2 + 5x + 7 - 1,022 - 7x + 1\\\\2x^2-2x-1,014[/tex]

Answer:

340

Step-by-step explanation:

550 - 210 = 340

S = 25x + 250 is the equation models the food truck's average sales in dollars, S, in terms of the price for taco, x.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system.

Given

A food truck vendor averages 150 tacos sold when the price per taco is $1.

A study shows that the average number of tacos sold will increase by 25

tacos for every $1 that the price per taco is lowered.

The calculation needed to determine which equation best represents the food truck's average sales in dollars, s, in terms of the price per taco, x, is as follows:

S = 25x + 250

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490

472 <490<500

it fits the criteria

a) [tex]f(-4)[/tex] is equal to the output when [tex]x=-4[/tex]. Therefore, [tex]f(-4)=-7[/tex].

b) [tex]f(-3)=-11[/tex]

c) [tex]f(3)=-3[/tex]

d) [tex]f(4)=-1[/tex]

Probability is the possibility of happening an event.

Given that, the gold prospector panned for gold 1000 times and actually found 53 times of those times.

The probability that he will find the gold next time is:

53/1000

= 0.053

Hence, the probability that he will find the gold the next time he pans for gold is 0.053.

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An n x 11 matrix can have a maximum of n different eigenvalues, whereas a 2 x 2 matrix can only have a maximum of two. Below, there is a detailed explanation of this.

a collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

The study of matrices is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.

solution of a 2 x 2 matrix is in given form:

|A - λI| = 0

here,

A =  eigenvalue

I = identity matrix

now

|A - λI| = (a11 - λ)

(a22 - λ) - a12a21 = 0

the solutions of above equation are  2 x 2 matrix's eigenvalues.

just like this, a matrix of size n by n may have up to n different eigenvalues as its characteristic equation is a polynomial of nth degree with up to n roots (i.e. n eigenvalues). all due to the equation form: |A - I| = 0, where A is an eigen and I is an identity matrix.

by expanding the determinant:

|A - I| =  (-1)

having coefficients c1, c2,..., cn, having sum = zero.

which is nth degree polynomial equation consisting of n possible solutions, that are basically n x n matrix's eigenvalues .

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Answer: None of these

Step-by-step explanation:

The slope of the graph of [tex]f[/tex] is [tex]\frac{-224-64}{-2-1}=96[/tex].

Using point-slope form,

[tex]f(x)-64=96(x-1)\\\\f(x)-64=96x-96\\\\f(x)=96x-32[/tex]

Therefore, none of the options are correct. This can be confirmed by an online calculator.

Answer:

Step-by-step explanation:

x - 0.25x = 18

3/4x = 18

x = 24

Answer:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}[/tex]

Step-by-step explanation:

Create a blank frequency table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}[/tex]

If 79% of the participants played pickleball, then 21% of the participants do not play pickleball.

Input these percentages into the table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}[/tex]

Of those who play pickleball, 6% are female.

Therefore, of those who play pickleball, 94% must be male.

The total percentage of those who play pickleball is 79%, so find 6% and 94% of 79%:

[tex]\begin{aligned}\textsf{Plays pickleball (female)}&=6\% \; \sf of \; 79\%\\&=0.06 \times 0.79\\&=0.0474\\&=5\%\; \sf (nearest\;percent)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Plays pickleball (male)}&=94\% \; \sf of \; 79\%\\&=0.94 \times 0.79\\&=0.7426\\&=74\%\; \sf (nearest\;percent)\end{aligned}[/tex]

Input the found percentages into the table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}[/tex]

Of those who do not play pickleball, 21% are male.

Therefore, of those who do not play pickleball, 79% must be female.

The total percentage of those who do not play pickleball is 21%, so find 21% and 79% of 21%:

[tex]\begin{aligned}\textsf{Does not play pickleball (male)}&=21\% \; \sf of \; 21\%\\&=0.21 \times 0.21 \\&=0.0441\\&=4\%\; \sf (nearest\;percent)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Does not play pickleball (female)}&=79\% \; \sf of \; 21\%\\&=0.79 \times 0.21\\&=0.1659\\&=17\%\; \sf (nearest\;percent)\end{aligned}[/tex]

Input the found percentages into the table and calculate the column totals:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}[/tex]

Answer:

c

Step-by-step explanation:

i took the test :)

The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr²

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter. A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

The smallest number of bags the groundskeeper must buy to cover the field.

Diameter of the field = 290 feet

Radius = 145 feet

Area of the circular field = πr²

= 3.14 ×145²

= 66018.5ft²

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The free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

To rank the free throw accuracy of these players from lowest to highest, we need to compare the fraction of free throws made to the total number of free throws taken by each player.

The fraction of free throws made to the total number of free throws taken is called the free throw percentage.

The free throw percentage for each player can be calculated by dividing the number of free throws made by the number of free throws taken and expressing the result as a decimal.

For example, the free throw percentage for Smith can be calculated as follows:

Free throw percentage = 13/19 = 0.68

We can use this same method to calculate the free throw percentage for the other players:

Haller: Free throw percentage = 12/20 = 0.6

Dennis: Free throw percentage = 14/17 = 0.82

Ballard: Free throw percentage = 17/22 = 0.77

Based on these calculations, the free throw accuracy of these players can be ranked from lowest to highest as follows:

Haller: Free throw percentage = 0.6

Smith: Free throw percentage = 0.68

Ballard: Free throw percentage = 0.77

Dennis: Free throw percentage = 0.82

Hence, the free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

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Answer:46 answers :)

Step-by-step explanation:

The number of miles that Mr.Cruz drive in February is 40  miles .

In the question ,

it is given that ,

Mr.Cruz drove 70 miles in March .

let the number of miles that Mr.Cruz drive in January is "x" miles .

He drive 4 times as many miles in February as he did in January ,

So , the number of miles driven in February is = 4x .

he also drive 7 times as many miles in march as he did in January .

So , the number of miles driven in March is = 7x

According to the question ,

7x = 70

x = 10

So , miles driven in February is = 4(10)

= 40 miles .

Therefore , the number of miles driven is February is 40 miles .

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There were 14-floor seat tickets sold to their spring play.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let's assume x be floor seat tickets and y be balcony seats

As per the given formation, the equation would be as:

x + y = 800  ....(i)

110x + 8y = 7740 ...(ii)

Multiply by 8 into equation (i), and subtract into equation (ii),

110x + 8y - 8x - 8y = 7740 - 6400

102x = 1340

x = 1340/102

x = 13.7 ≈ 14

Therefore, there were 14-floor seat tickets sold.

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Answer:

wednesday: 4

thursday: 32

Step-by-step explanation:

In the given equation y = 3x + 12, x is the independent variable and y is the dependent variable.

A mathematical connection in which the values of one or more independent variables uniquely determine the values of a dependent variable.

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 the equation is y = 3x + 12. Here in the equation, the value of the y variable is dependent on the value of x. Then the x variable is independent and the y variable is dependent and depends upon the x variable.

Therefore, in the given equation y = 3x + 12, x is the independent variable and y is the dependent variable.

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Answer:

1/14 xy (x² + 8y)

Step-by-step explanation:

common factor of the number = 1/14

common factor of letter part = xy

x³ : x = x²

y : y = 1

1/14 xy (x²

x : x = 1

y² : y = y

1/14 xy (x² + 8y)

The amount in dollars discounted from the regular price is $21

From the question, we are to determine the amount that is discounted from the regular price

From the given information,

The regular price is $30

and

The item is on sale for 70% off the regular price.

Thus,

The amount discounted from the regular price = 70% of $30

The amount discounted from the regular price = 70% × $30

The amount discounted from the regular price = 0.7 × $30

The amount discounted from the regular price = $21

Hence, the amount is $21

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