A package of 4 pairs of insulated socks costs $21.96. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.

Answer: See below

Step-by-step explanation:

1) For the first question, we have to multiply the width by the length to find the area of the whole rectangle:

(4x-4)(x+1)= 4x^2 -4

2) For the second question, we have to multiply the width by the length to find the area of the shaded area in the rectangle:

(2x+2)(x-1)= 2x^2-2

3) The total area of the unshaded part of the whole triangle equals the area of the whole rectangle minus the shaded area:

4x^2-4 - 2x^2 -2 = 2x^2 - 6

Answer:

z divided by 4 is 12

48 divided by 4 is 12

The length of the segment BC is equal to 5√3 π / 3.

Herein we find the a geometric system formed by a circle and an inscribed  right triangle formed by two right triangles. By a quick inspection we find the following measures:

AD = 10π, m ∠ BCD = 60°, m ∠ BDC = 30°, m ∠ BDA = 60°, m ∠ BAD = 30°

Then, by 30-60-90 right triangle theorem we find that:

DB = (1 / 2) · AD

DB = (1 / 2) · 10π

DB = 5π

DB = √3 · BC

BC = (√3 / 3) · DB

BC = 5√3 π / 3

The length of the segment BC is equal to 5√3 π / 3.

To learn more on right triangles: https://brainly.com/question/4364353

#SPJ1

When the equation of the circle is [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex], then the center of the circle is (3,-2) and the radius of the circle is 6.08 units.

The equation of the circle = [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex]

The general equation of the circle is [tex]x^{2} +y^{2}+2gx+2fy+c=0[/tex]

Where (-g,-f) is the coordinates of the circle

The equation of the circle = [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex]

Divide the equation by 2

[tex]x^{2} +y^{2}-6x+4y-12=0[/tex]

Compare the equation with general form

2g= -6

g= -3

2f= 4

f= 2

The center of the circle (-g,-f) = (3,-2)

The radius of the circle = [tex]\sqrt{g^{2}+f^{2}-c }[/tex]

Substitute the values in the equation

r= [tex]\sqrt{(-3)^{2}+2^{2}- (-24) }[/tex]

[tex]=\sqrt{9+4+24} \\=\sqrt{37}[/tex]

=6.08 units

Hence, when the equation of the circle is [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex], then the center of the circle is (3,-2) and the radius of the circle is 6.08 units.

Learn more about circle here

brainly.com/question/23799314

#SPJ1

Step-by-step explanation:

[tex] \frac{46}{62} \times 100 = 74.19 percent \\ 100 - 74.19 = 25.81 \: percent \\ her \: loss \: was \: 25.81 \: percent[/tex]

The measure of angle AOC is 30 degrees. Angle AOC is classified as an acute angle.

An angle that has a measure that is less than 90 degrees is classified as an acute angle.

Given the diagram below, the angle that is formed by rays AO and CO is angle AOC. The instrument shows that angle AOC is exactly 30 degrees.

30 degrees is less than 90 degrees and can therefore be termed an acute angle.

Therefore, the measure of angle AOC is 30 degrees. Angle AOC is classified as an acute angle.

Learn more about acute angle on:

https://brainly.com/question/6979153

#SPJ1

Answer:

42.5

Step-by-step explanation:

You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.

Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5

Hope that helps

Answer:

A - Domain - [0,9] , Range - [0,3] , It represents a function because it passes the (vertical line test).

B - (0,0)

C - I'm not sure about this question but, If i would guess, (0,0) (9,3).

Step-by-step explanation:

For question C i think It means maximum and minimum points on the graph.

Im sorry if you get any of it wrong.

Answer: 4/9 es racional - cualquier fracción adecuada x/y es un número racional. Expresado como un decimal, esto es igual a 0.4 recurrente (es decir, 0.44444...)

Step-by-step explanation: ¡Espero que esto ayude!

El número 4/9 es un número racional. Es una razón, o fracción, formada por dos números enteros, 4 y 9.

The given statement is true because it is the definition of nonlinear optimization.

it is the branch of mathematics with deals with the basic mathematical operators called arithmetic operators are addition, division, multiplication and subtraction.

Here,

The nonlinear optimization problem is an optimization problem in which at least one term in the objective function or a constraint is nonlinear, is true, Since its the basic definition of nonlinear optimization.

Thus, the given statement is true.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ4

It is "false" that a cylinder is a polyhedron where two faces are parallel and congruent and the remaining faces are parallelograms. Its is a prism.

A polyhedron of two polygonal faces in parallel planes & parallelograms on the other faces is called prism.

Some features regarding the prism are-

To know more about the prism, here

https://brainly.com/question/23963432

#SPJ4

Answer:

k = x^3+y^3+z^3

Step-by-step explanation:

Solve for k by simplifying both sides of the equation, then isolating the variable.

Hope this helps.

A translation along the directed line segment NB then a reflection over the vertical line about B so sequence A is correct therefore option (A) will be correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the triangle MNO and ABC

Now,

If we translate MNO along the directed line segment NB and reflect over B then M will coincide with A and N with B and O with C.

In sequence B if we reflect on MO then M will not coincide with A and it will not form a triangle ABC.

Hence "A translation along the directed line segment NB then a reflection over the vertical line about B".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ4

The given question has missed an image, incomplete question is given in the image,

Answer:

28x-4

Step-by-step explanation:

Given

length (l)= 9x-4

Breadth (b) = 5x+2

Now

Perimeter (P) = 2(l+b)

=2(9x-4+5x+2)

=2(14x-2)

=28x-4

At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. The mean number of points per player per game is the same at all 3 schools.

Given that in Baylor's University that there are 6 players who each score 12 points per game, and 6 players who each score 0 points per game.

The scores are 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12.

Mean = Sum/Count = 72/12 = 6.

Median is the average between the nth  and (n+1)th  term.

(0+ 12)/2 = 6

In Maryland university 1 player scores 58 points per game, 1 player scores 14 points per game, and the rest of the 10 score 0 points per game,

58, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Mean = Sum/Count = 72/12 = 6.

Median is 0

In Dartmouth, university, 4 players score 5 points per game, 4 players score 6 points per game, 4 players score 7 points per game.

The scores are

5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7

Mean = Sum/Count = 72/12 = 6

Median =(6+6)/2= 6

​

At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

The mean number of points per player per game is the same at all 3 schools.

Learn more about mean and median here:

https://brainly.com/question/17060266

#SPJ4

Answer:

298781

Step-by-step explanation:

x= 29 which is Friday of that Month.

As 1st February 2008 is Friday

By adding 7 to the date we will get the next Friday Date of that month

i.e., 1 + 7= 8

i.e., 8 is Friday

Again if we will add 7 in 8 then we will get another Friday

so by adding again i.e., 8 + 7= 15 which is again Friday

Then 15 + 7 = 22 which is Friday.

adding again we will reach final to final answer 22+ 7 = 29 which is Friday

after adding 29 with 7 we will get 36 and as we know there are only 30/31 days in a month.

So, by adding 7 to the date we will reach the next week.

To know further to find the days of that month refer to the link given below:

   https://brainly.com/question/2096634

#SPJ4

Answer:

good luck broooooooooooo

Answer:

-1

Step-by-step explanation:

→ -4 + (6/2)

→ -4 +3 = -1

So, the answer is -1.

Answer:

True

Step-by-step explanation:

I'm assuming this is a true or false question, and so the answer is true. Because two negatives (-) equal a positive. So, 45,000 - (-800) actually is 45,00 + 800 because there was as subtraction sign and a negative sign.

Answer:

Step-by-step explanation:

45,000-(-800)=45,800

45,000-(-800) does =45,800

Answer:

184

Step-by-step explanation:

Answer:

v < 2

Step-by-step explanation:

To solve this problem, start by adding 12 to each side of the inequality, to clear the -12 from the left side. 10 + (-12) is 2, so your answer is v < 2.

Hope this helps! Let me know if you have any confusion!

In a poll conducted by a certain research​ center, 1046 adults were called after their telephone numbers were randomly generated by a​ computer, and were able to correctly identify the random sampling.

Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.

Learn more about random sampling here

https://brainly.com/question/24466382

#SPJ4

Answer:

D is the answer

Step-by-step explanation:

please make my answer as brainelist

Answer:

x=3

Step-by-step explanation:

4x-2x+6=-7+5x+4

2x+6=-7+5x+4

2x+6-6=5x-3-6

2x=5x-9

-3x=-9

x=3

By the concept of Permutations and Combinations, we get:

Number of ways to distribute 5 dollar bills among three children = 21

and

Number of ways to distribute 5 dollar bills such that each child gets at least one dollar = 6

Given:

To find: (A) number of ways to distribute the dollar bills among the children

(B) number of ways to do the same if each child gets at least a dollar.

Finding:

By using the formula: [tex]\binom{n+r-1}{r-1}[/tex],

Number of ways to distribute 5 dollar bills among three children = [tex]\binom{5+3-1}{3-1} = \binom{7}{2}= \frac{7\times6}{2}[/tex] = 21 ways.

Similarly, upon modifying the above formula as: [tex]\binom{n-1}{r-1}[/tex],

Number of ways to distribute 5 dollar bills such that each child gets at least one dollar is =

[tex]\binom{5-1}{3-1}= \binom{4}{2}=\frac{4\times3}{2}[/tex] = 6 ways.

To learn more about permutations and combinations, refer to the link: https://brainly.com/question/11732255

#SPJ4

Based on the fact that the employer is changing the pay period to semimonthly, John's semimonthly salary to the nearest cent is $956.50

John's annual salary can be found to be $24,869

If a person is paid semimonthly, it means that they are paid twice a month or every two weeks.

This means that John's semimonthly salary is:
= 478.25 x 2

= $956.50

In a year, John's annual salary will be:

= 478.25 x 52 weeks

= $24,869

Find out more on semimonthly salary at https://brainly.com/question/10799478

#SPJ1

The value of the expression given as −26.6/−1 is 26.6

The expression is given as

−26.6

-----------

−1

Rewrite the above expression properly as follows

So, we have

−26.6/−1 or −26.6 ÷ −1

This is so because the expression is a quotient expression

So, we have

−26.6/−1

Express −26.6 as -13.3 - 13.3

So, we have the following equation

−26.6/−1 = (−13.3  −13.3)/−1

Expand the expression

So, we have

−26.6/−1 = (−13.3)/−1 + (−13.3)/−1

Evaluate the quotients in the above equation

So, we have

−26.6/−1 = 13.3 + 13.3

Evaluate the quotients in the above equation

So, we have

−26.6/−1 = 26.6

Hence, the value of the expression given as −26.6/−1 is 26.6

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

Answer:

When i24 is increased by 25% the answer is 30

Answer:

[tex]\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)[/tex]

[tex]\mathrm{Directrix:\;\;}x=-\frac{1}{3}[/tex]

Step-by-step explanation:

The standard equation for a parabola is

[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]

with vertex at (h, k) and a focal length of |p|

[tex]\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}[/tex]:

[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}[/tex]

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2-1+1[/tex] or

[tex]x+1=-\frac{3}{8}\left(y-2\right)^2[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}[/tex]
[tex]\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}-\frac{8}{3}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{Simplify}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]

[tex]\mathrm{We\; can\; rewrite\:this\;as}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2[/tex]

Comparing this with the standard form we get
[tex]\left(h,\:k\right)=\left(-1,\:2\right)[/tex]
[tex]\:p=-\frac{2}{3}[/tex]

The parabola is symmetric around the x-axis.

The focus lies a distance [tex]p[/tex] from the center [tex]\left(-1,\:2\right)[/tex] along the x axis

So focus is at
[tex]\left(-1+p,\:2\right)[/tex] [tex]=\left(-1+\left(-\frac{2}{3}\right),\:2\right)[/tex] [tex]=\bold{ \left(-\frac{5}{3},\:2\right)}[/tex]

The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center

[tex]x=-1-p[/tex]

[tex]x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}[/tex]

Using linear function concepts, the graph of the Celsius-Fahrenheit relationship is linear with an intercept of 32 and slope of 1.8.

A linear function is modeled by:

y = mx + b

In which:

From the table, we have that:

Thus, the graph of the Celsius-Fahrenheit relationship is linear with an intercept of 32 and slope of 1.8.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1