What is a inequality on a number line

Answer:

The original price of the shoes was $53.

The discount percentage was 20%.

The discount amount was 53 * 0.2 = 10.6.

The sale price after the discount was 53 - 10.6 = 42.4.

The processing fee percentage was 20%.

The processing fee amount was 42.4 * 0.2 = 8.48.

The final price after the processing fee was 42.4 + 8.48 = 50.88.

Therefore, the discount was $10.60, and the final price was $50.88.

Step-by-step explanation:

The total interest charges after 30 years with an APR of 3.4 % is given by the equation A = $ 77,550.80

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the total interest charges after 30 years be represented as A

Now , the equation will be

The APR percentage = 3.4 %

The amount taken as loan = $ 130,000

The number of years = 30 years

The monthly payment = $ 576.53

The number of payments n = 30 x 12 = 360 payments

So , the total amount paid in 30 years = monthly payment x number of payments

Substituting the values in the equation , we get

The total amount paid in 30 years = 360 x 576.53

The total amount paid in 30 years = $ 207,550.80

Now , the total interest charges after 30 years A = total amount paid in 30 years - amount taken as loan

Substituting the values in the equation , we get

The total interest charges after 30 years A = $ 207,550.80 - $ 130,000

On simplifying the equation , we get

The total interest charges after 30 years A = $ 77,550.80

Hence , the interest charges after 30 years is $ 77,550.80

To learn more about annual percentage yield click :

https://brainly.com/question/28495077

#SPJ1

The lowest common denominator of the fraction is 6

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

Learn more on lowest common denominator here;

https://brainly.com/question/10749076

#SPJ1

The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second position).

The size of the sample space is 4 options for the letter, 2 options for the first number, and 1 option for the second number, giving a total of 4x2x1=8 possible codes. To calculate the probability that a code has a letter that immediately follows an odd number, we first need to count the number of codes that meet this condition. There are two odd numbers to choose from (5 and 6), and two letters that can immediately follow an odd number (B and D). For each odd number, there is only one even number that can come before it, so there are 2x1x2=4 possible codes that meet this condition. Therefore, the probability that a randomly chosen code has a letter that immediately follows an odd number is 4/8, which simplifies to 1/2, or 0.5. To calculate the probability that D is in the code but is not in the first position, we need to count the number of codes that meet this condition. There are two places that D could appear (second or third), and three options for the first position (A, B, or C). Once the first position is chosen, there are two options for the remaining number (5 or 6). Therefore, there are 2x3x2=12 possible codes that meet this condition. The total number of possible codes is 8, so the probability that a randomly chosen code has D but not in the first position is 12/8, which simplifies to 3/2, or 1.5. However, probabilities must always be between 0 and 1, so this answer is not valid.

The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second

position). Of these 6 codes, 4 have D in the second position, and 2 have D in the third position. Therefore, the probability that a randomly chosen code has D but not in the first position is (4+2)/8, which simplifies to 2/3.

To know more about probability  click here:

brainly.com/question/30034780

#SPJ4

The values of x and y for the parallelogram PQRS are respectively, 2 & 7

Opposite sides are parallel: The pairs of opposite sides of a parallelogram are always parallel to each other.

Opposite sides are equal in length: The pairs of opposite sides of a parallelogram are equal in length.

Given that,

The parallelogram PQRS has diagonals PR and SQ that intersects at T,

T is the midpoint of PR and T is the midpoint of SQ

If T is the midpoint of PR, then PT = TR

Given  PT = y and TR = 3x+1

y = 3x+ 1 _____(i)

Also, If T is the midpoint of SQ, then ST = TQ

Given QT=3y and TS=4x+13

3y = 4x+ 13 ____(ii)

Substitute equation 1 into 2;

3y = 4x+ 13

3(3x+1) = 4x+ 13

open the parenthesis

9x+3 = 4x+13

club like terms

9x-4x = 13-3

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From 1; y = 3x+1

y = 3(2)+1

y = 6+1

y = 7

Hence, the values are x = 2 and y = 7

To know more about Parallelogram check:

https://brainly.com/question/29147156

#SPJ9

The complete questions :

Parallelogram PQRS has diagonals PR and SQ that intersect at T find the values of x and y PT=y TR=3x+1 QT=3y TS=4x+13

The ratio of the number of sixth-graders who visited the science museum to the number of sixth-graders who visited the history museum is

10:39.

What is meant by the ratio of two quantities?

A ratio displays the multiplicity of two numbers. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

Given,

  Number of students who picked the science museum = 10

Number of students who picked the history museum = 39

The ratio of students who visited the science museum to students who visited the history museum = 10:39.

Therefore the ratio of the number of sixth-graders who visited the science museum to the number of sixth-graders who visited the history museum is 10:39.

To learn more about the ratios, follow the link.

https://brainly.com/question/2328454

#SPJ1

The value of a, b, and c are 1, -2, and 6 respectively.

The y-intercept of this quadratic function is 6.

The axis of symmetry of this quadratic function is 1.

The vertex of this quadratic function is (1, 5).

Mathematically, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² - 2x + 6, we have:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2 = 1.

Vertex (h, k) = (1, 5).

In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).

y-intercept = 6.

Lastly, we would create a table and then graph the quadratic function as follows;

x         y

0         6

2         2

5         11

Read more on quadratic function here: brainly.com/question/13159926

#SPJ1

Ordinal data can be ordered, as the naming implies. Both have "ord" to help remember the connection. An example of this would be something like small, medium, large. The items do not have to be numeric in nature.

Nominal data is any category or name. Order isn't present here. For example, if a survey asked about a person's favorite color, then there isn't any inherent order here.

The required modulus is 41 .

A real and imaginary number combo with the formula a + bi , where

a and b are real numbers, and

i is the "unit imaginary number" √(−1)

a and b may also have zero values.

We are aware that complex numbers are made up of both actual and fictitious numbers.

The imaginary part, y, is multiplied by I the square root of -1, and the real part, x.

Modulus of x+iy = [tex]\sqrt{x^2 +y^2}[/tex]

Here, 9 and 40 are substituted for x and y.

i.e. 9+40i

We square the coefficients, add them, and then find the square root to obtain the modulus.

|9+40i| =[tex]\sqrt{9^2 +40^2} =\sqrt{81+1600} =\sqrt{1681}[/tex][tex]=41[/tex]

By long division method we find that

|9+40i| =41

To know more about complex numbers, visit:

https://brainly.com/question/20566728

#SPJ1

Answer:

From the given information, we know that 2 red peppers produce a fire that is 25 meters long, and 10 green peppers produce a fire that is 15 meters long.

To find the length of the fire produced by the dragon eating 3 red peppers and 5 green peppers, we can use a proportion:

(3/2) * 25 + (5/10) * 15 = x

where x is the length of the fire produced by the dragon eating 3 red peppers and 5 green peppers.

Simplifying the equation, we get:

37.5 = x

Therefore, the length of the fire produced by the dragon eating 3 red peppers and 5 green peppers is 37.5 meters.

Step-by-step explanation:

Answer:-50/7 or -7.143

Step-by-step explanation:

you have to turn the 3 4/7 into an improper fraction by this:

3x7=21

21+4=25

which makes it 25/7

(25/7)x(-2) = -50/7 or -7.143

Answer:

The greatest integer solution to the inequality 1 < (c - 1)^2 ≤ 36 is c = 6.

Step-by-step explanation:

What is true about the population and sample of the survey is that;'

The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.

In statistics, the population is defined as the entire group that you want to draw conclusions about. However, the sample is defined as the specific group that you will collect data from. The size of the sample is always less than the total size of the population. In research, a population doesn't always refer to people.

Now, we are told that a survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie.

Thus, the sample will be 100 people surveyed as they are part of the entire people at the movie theater.

Read more about Population and sample at; https://brainly.com/question/7301139

#SPJ1

The solution to the equation 4x² = 16 is x = 2.

Given the equation in the question;

4x² = 16

x = ?

To solve for x, first divide both terms by 4.

4x² = 16

4x²/4  = 16/4

x² = 4

Take the square roots of both sides

√x² = ±√4

x = ±2

x = -2 or 2.

Therefore, the value of x is 2.

Option D)2 is the correct answer.

Learn to solve more equations here: https://brainly.com/question/9236233

#SPJ1

Answer:

D.2

Step-by-step explanation:

[tex]4 {x}^{2} = 16 \\ \frac{4 {x}^{2} }{4} = \frac{16}{4} \\ {x}^{2} = 4 \\ \sqrt{ {x}^{2} } = \sqrt{4} \\ x = \sqrt{4} \\ x = 2[/tex]

Note that the Economic Order Quantity is given as approximately 4,472.13 Units.

Economic Order Quantity, also known as Economic Purchasing Quantity, is the order quantity in inventory management that minimizes overall holding costs and ordering expenses. It is one of the most ancient traditional production scheduling models.

EOQ = √[(2 * AR* OC)/CC]

Were AR = Annual Requirement = 100,000 units

OC = Ordering Cost = Rs 20 per unit

CC = Carrying Cost = 10% of Per Unit Cost
Per Unit Cost  = Rs. 2

Thus,

EOQ = √[(2 * 100,000* 20)/10% * 2]

EOQ =  √[(4000000)/0.2]

EOQ = √20000000
EOQ = 4472.135955

EOQ [tex]\approx[/tex] 4,472.13 Units.

Learn more about EOQ:
https://brainly.com/question/28012420
#SPJ1

Answer:

Step-by-step explanation:

Here's a step-by-step explanation of the reflections:

Point R is located at (1, 1) on the coordinate plane.

Reflection over the y-axis: This reflection changes the sign of the x-coordinate. In other words, if the point (x, y) is reflected over the y-axis, the reflected point will be ( -x, y). So, for point R at (1, 1), the reflection over the y-axis creates R' at (-1, 1).

Reflection over the x-axis: This reflection changes the sign of the y-coordinate. In other words, if the point (x, y) is reflected over the x-axis, the reflected point will be (x, -y). So, for point R' at (-1, 1), the reflection over the x-axis creates R'' at (-1, -1).

So the final location of R'' is at the ordered pair (-1, -1).

The value of AD is 26.

There are two circles with centers A and D.

The tangent line touches both points B and C.

The given measurements are enough to solve for the missing value and the solution is shown below:

Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:

Solve for angle of A

sin A=26/27.51

A=70.93°

Finally, we solve for the length of AD using SOH

sin 70.93°=AD/27.51

AD=26

The answer is 26.

Read more about tangents here:

https://brainly.com/question/4470346
#SPJ1

The solution is the union of the solutions from both inequalities. That is, x is either greater than 3.2 or less than -0.75. So, the final solution is: -0.75 < x < 3.2.

What is  inequalities?

An inequality is a mathematical statement that represents a comparison between two values, and indicates the relationship of one value being greater than, less than, or equal to the other. It is usually represented using symbols such as ">" (greater than), "<" (less than), ">=" (greater than or equal to), "<=" (less than or equal to), and "≠" (not equal to). For example, the inequality "2x + 3 > 7" expresses that the value of the expression "2x + 3" is greater than 7 for some values of x.

Inequalities are used to describe a range of values that satisfy a certain condition. The solution to an inequality is a set of values that make the inequality true.

To solve the inequality "5x - 4 > 12 or 12x + 5 < -4", we can start by solving each inequality separately and then combining the solutions to find the final solution.

Adding 4 to both sides, we get 5x > 16

Dividing both sides by 5, we get x > 3.2

So, the solution to this inequality is x > 3.2

Subtracting 5 from both sides, we get 12x < -9

Dividing both sides by 12, we get x < -0.75

So, the solution to this inequality is x < -0.75

Final solution: Combining the solutions from both inequalities:

Since "or" is used in the inequality, the solution is the union of the solutions from both inequalities. That is, x is either greater than 3.2 or less than -0.75. So, the final solution is: -0.75 < x < 3.2.

So the solution to the inequality "5x - 4 > 12 or 12x + 5 < -4" is -0.75 < x < 3.2.

Learn more about inequality click here:

https://brainly.com/question/30239213

#SPJ1

From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

What is a unit fraction ?

A unit fraction is a fraction whose numerator (top number) is equal to 1. For example, 1/2, 1/3, 1/4, and so on are all unit fractions. Unit fractions are commonly used to represent parts of a whole, and they can also be used to perform certain mathematical operations such as addition and multiplication.

Given ,

Evan and Yong used the given shape representing the unit fraction, to draw 1 whole.

so,

from the given figure ,

in the evan diagram we can say it was mentioned correct, as we need to write down that in 1/3 where as in the Yong's case we can say that it does not come to 1/3 as a final resultant.

Therefore, From the given figure we can say that , Evan's used the given shape correctly to represent the unit fraction .

To learn more about Unit fraction from given link.

https://brainly.com/question/29004371

#SPJ1

The x- and y-components of the vector [tex]\mathbf{\hat a}}[/tex] are 8.9 m/s² and -6.4 m/s², respectively.

In mathematics, components are the parts or elements that make up a larger structure or object. In the context of vectors, components refer to the parts of a vector that describe its direction and magnitude in a particular coordinate system.

To find the x-components and y-components of the vector [tex]\mathbf{\hat a}}[/tex] = (11 m/s², 36 degrees left of -y-axis), we need to determine the direction of the vector. The notation "left of -y-axis" means that the vector makes an angle of 36 degrees with the negative y-axis, as measured counterclockwise from the negative y-axis.

The magnitude (or length) of the vector is given by the first component, which is 11 m/s².

The x-component of the vector can be found by multiplying the magnitude by the cosine of the angle:

x-component = magnitude x cos(angle) = 11 m/s² x cos(36°) = 8.9 m/s²

The y-component of the vector can be found by multiplying the magnitude by the sine of the angle:

y-component = magnitude x sin(angle) = 11 m/s² x sin(36°) = -6.4 m/s²

The negative sign indicates that the y-component is in the opposite direction of the negative y-axis.

Therefore, the x- and y-components of the vector [tex]\mathbf{\hat a}}[/tex] are 8.9 m/s² and -6.4 m/s², respectively.

Expressed as an ordered pair, the components are (8.9 m/s², -6.4 m/s²).

To know more about coordinate system visit:

brainly.com/question/13498438

#SPJ1

Answer: The range of the tangent function is (-∞,∞). So the answer is A: All real numbers.

Step-by-step explanation:

On solving the provided question, we can say that by linear equation If The Grant is thinking of two numbers, they are 13 and 26.

A linear equatiοn is one that has the form y = mx+b in algebra. B is the slοpe, and m is the y-intercept. It's usual to refer tο the previous clause as a "linear equation with twο variables" because y and x are variables. The twο-variable linear equations knοwn as bivariate linear equations.

There are several instances οf linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred tο as being linear when an equation has the fοrm y = mx+b, where m stands for the slοpe and b for the y-intercept. When an equatiοn has the formula y = mx+b, with m denοting the slope and b the y-intercept, it is referred tο as being linear.

x be the first number and y be the secοnd number:

x = 2y

x + y = 39

Plug x = 2y in the other equation:

2y + y = 39

3y = 39

y = 13

x = 26

If The Grant is thinking of two numbers, they are 13 and 26. He claims that the total of the two numbers is 39 and that one of the numbers is double the other.

To know more about linear equation visit:

brainly.com/question/11897796

#SPJ1

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 7}(x-\stackrel{x_1}{(-2)}) \implies y +9= 7 (x +2) \\\\\\ y+9=7x+14\implies {\Large \begin{array}{llll} y=7x+5 \end{array}}[/tex]

A cross section of a cube that is a regular hexagon can only be obtained if the plane passes through the cube at a 60-degree angle with respect to its edges. If a plane is placed in this manner, it will intersect six of the cube's edges at their midpoints, producing a regular hexagon cross section.

The plane that passes through three edges of a cube to produce a regular hexagonal cross section must intersect the edges of the cube at 60 degree angles. This can be achieved if the plane is aligned with the diagonal of one of the faces of the cube, passing through the opposite vertices of the face.

This configuration of the plane will result in a regular hexagonal cross section of the cube as each vertex of the hexagon will correspond to one of the vertices of the cube, and each side of the hexagon will intersect two edges of the cube at 60 degree angles.

Learn more about cube here: https://brainly.com/question/26726803

#SPJ1

Explanation:

In this case the median value is more representative of the 'center' of the population. The median is a better measure when the data set is skewed, has fat tails as compared to a normal didtribution, or has outliers. Otherwise you should use the arithmetic mean.

Answer:

A and D

Step-by-step explanation:

They both dont touch and go in the sam direction

Answer:

Below

Step-by-step explanation:

It APPEARS that First and last choices are true.....the lines do not cross in the picture...BUT you cannot say for SURE they are parallel  without more information about the angles at  D E H and I    ....or markings

1. The amount of pizzas which the pizzeria must sell for employees to receive the bonus is 78.

2. The new number of pizzas sold is considered as percent increase of 20%.

The pizzeria sold 65 pizzas yesterday and the owner offers bonus if the number sold increases by 20% today. The number that must be sold, to receive a bonus is computed as follows:

= 65 pizza * (65 pizza * 20%)

= 65 pizza * 13 pizza

= 78 pizza.

It is a percent increase which is computed as follows. The formula for percentage increase is: ((Final value - Initial value)/Initial value * 100).

The Percent increase:

= (78 pizza - 65 pizza) / 65 pizza.

= 13 pizza / 65 pizza

= 0.2

= 20%

Full question "A local pizzeria sold 65 pizzas yesterday. (step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning. (Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work. Answer:"

Read more about bonus

brainly.com/question/1512645

#SPJ1

The correct answer is

d) 4:16

Area and Perimeter of Similar Polygons:

Polygons are said to be similar when their corresponding angles are equal and their corresponding sides are in the same proportion. The perimeters and areas of identical polygons have a unique relationship, just as their corresponding sides do.

Perimeters: The scale factor and the perimeters ratios of perimeters are similar. In reality, the scale factor is identical to any ratio between any two similar forms (diagonals, medians, midsegments, altitudes, etc.).

Areas: If the scale factor of the sides of two similar polygons is [tex]\frac{m}{n}[/tex]

, then the ratio of the areas is [tex](\frac{m}{n} )^{2}[/tex].

(Area of Similar Polygons Theorem). Because area is a two-dimensional quantity, you square the ratio.

It is given that ,

the ratio of perimeters of two similar quadrilateral is 2:4.

now,

to find the ratio of area , we can take two quadrilaterals, say square.

Square ABCD of side 2 units and Square PQRS of side 4 units.

now ratio of areas,

[tex]=\frac{area of square ABCD}{area of square PQRS} \\\\=\frac{2*2}{4*4} \\\\=\frac{4}{16}[/tex]

If the given ratio of perimeters can be further solved as 1:2, then we can see that the ratio of areas can also be further solved as 1:4.

To know more about perimeter, visit:

https://brainly.com/question/6465134

#SPJ1

The sum of the capitals would be $530400.

The formula to calculate the simple interest is -

I = PRT/100

Given is that a capitalist has two capitals that differ in $221,000. The largest of them imposes it at 20% per year and the smallest at 16% per year, so after 3 years, the amount produced by the largest is double what the smallest produces.

We can write the amount produced by largest as -

A = P(1 + rt)

A = 221000(1 + 0.2 x 3)

A = 221000 x 1.6

A = 353600

Amount generated by smallest -

a = 353600/2

a = 176800

Their sum would be -

A + a = 530400

Therefore, the sum of the capitals would be $530400.

To solve more questions on simple interest, visit the link below

https://brainly.com/question/25845758

#SPJ9

{Question in english -

A capitalist has two capitals that differ in S/. 221,000, the largest of them imposes it at 20% per year and the smallest at 16% per year, so after 3 years, the amount produced by the largest is double what the smallest produces. Find the sum of the capitals.}

Answer: The answers are both B and C