A men's suit is on sale for $175. If the original price of the suit was $250, what percent of
discount was used during the sale?

Answer: C

Step-by-step explanation:

When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.

Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.

That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.

We can eliminate D because at -2, the numbers are going towards the right, not the left.

Therefore, our answer is C.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Step-by-step explanation:

Using the remainder theorem we get:

\(f(-2)=-5\),  \(f(1)=4\), and \(f(-1)=0\)

So we get

\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)

                 \(-8p+8+4p-2q+r=-5\)

                              \(-4p-2q+r=-13\)  \((a)\)

\(f(1)=(p-1)+p+q+r=4\)

                       \(2p+q+r=5\)               \((b)\)

\(f(-1)=-(p-1)+p-q+r=0\)

                                 \(-q+r=-1\)    \((c)\)

We need to solve (a), (b) and (c) simultaneously to find p,q, and r.

from \((c)\)  \(r=q-1\). Sub this into (a) and (b):

\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\)    \((d)\)

      \(2p+q+(q-1)=5 \rightarrow q=3-p\)              \((e)\)

Sub (e) into (d) we get

\(-4p-(3-p)=-12 \rightarrow p=3\)

Sub \(p=3\) into \((e) \rightarrow q=0\)

Sub  \(p=3,q=0\) into \((c) \rightarrow r=-1\)

SOLUTION: \(p=3,q=0,r=-1\)    

So \(f(x)=2x^3+3x^2-1\)

by dividing (x+1) into f(x) we get  (I am not showing working for this division)

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

\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)

Answer: 1st friend = 13333 x 6

2nd friend = 13333 x 2

3rd friend = 13333

(this is rounded off the actual amount of 1 unit is 13333.3333333)

Step-by-step explanation:

1st friend = 6 units

2nd friend =2 units

3rd friend =1 unit

6+2+1 = 9

120000 divided 9 = 13333

1st friend = 13333 x 6

2nd friend = 13333 x 2

3rd friend = 13333

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Answer:

htrtrheherh

Step-by-step explanation:

Answer:

No because one side is 8 and the other is 18

Step-by-step explanation:

I assume the given expression is

\(\sqrt x \sqrt[4]{x}\)

We can write each root as a rational power of x, then add the exponents:

\(\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}\)

Then putting it back into radical form, we have

\(\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}\)

Answer:

4.87lbs

Step-by-step explanation:

82.16-77.29=4.87

Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left

5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5

Frame calculation process in your words but the final answer is each child ate 5 cookies.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

P moves = 70.73 m

Step-by-step explanation:

Given data

Radius = 38

initial position of P = ( 38,0 )

initial position of center S = ( 14,0)

position of P ( after s moved counterclockwise )

:  x = 14cost + 24cos(7/12t)

  y = 14sint - 24sin(7/12t)

Determine how far P moves before returning to its initial position

attached below  is the solution

P moves = 70.74 m

Answer:

40

Step-by-step explanation

Answer:

40

Step-by-step explanation:

got it right on edge

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer:

37.10

Step-by-step explanation:

Answer:

slope = -4

Step-by-step explanation:

rise/ run = 4/1, but slope always minus, so slope = -4

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

Answer:

  -5

Step-by-step explanation:

The value of x that gives f(x) = 3 is -5.

  \(f^{-1}(3)=-5\)

Given:

f(x) = 2x - 5

g(x) = 4x + 3

(f + g)(x) can be found as,

Therefore, (f + g)(x)=6x-2.

Answer:

Step-by-step explanation:

dudjdjd

Answer: y + 7x = -6

Step-by-step explanation:

Standard form: Ax + By = c, where a, b, and c are constants.

Distribute

y - 8 = -7x - 14

Add 8 and 7x to both sides:

y + 7x = -6

Hope it helps :)

The standard form of the equation is y = -7x-14

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, y-8 = -7(x+2)

We know that standard form of an equation of a line is y = mx+c

Converting into standard form,

y-8 = -7(x+2)

y-8 = -7x-14

y = -7x-14+8

y = -7x-6

Hence, The standard form of the equation is y = -7x-14

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Answer:

Step-by-step explanation:

One root is given, 10 - 4√7.

Since the polynomial has to have rational roots and of a minimal degree, the other root is the conjugate of the given and the polynomial is of degree 2 minimum.

The polynomial is:

Reasons

(1) Given

(2) Definition of midpoint of a segment. (A point on the segment creating two congruent segments).

(3) Vertical angles are congruent.

(4) SAS postulate (If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent).

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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The area of the rectangle is 27/70 square feet.

The area of a rectangle is given by the formula:

Area = base x height

Plugging in the given values, we get:

Area = (3/7) x (9/10)

Simplifying, we get:

Area = (27/70) square feet

Therefore, the area of the rectangle is 27/70 square feet.

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Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

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Answer:

The third one 54

Step-by-step explanation:

I hope it helps.