The men's department had sales of $60,000 for December. During the month, the buyer reduced prices of 38 suits from $695 to $445 and that of 20 suits from $550 to $287. What was the markdown percent for the month?A. 24.6%B. 25%C. 26.3%

Volume

Volume

A quarter of 6 hours is 1.5 hours or 90 minutes, and 60 minutes is equivalent to 1 hour. Therefore, a quarter of 6 hours and 60 minutes is equivalent to 2.5 hours or 150 minutes.

A quarter is a unit of measurement that represents one-fourth or 25% of a whole. It is commonly used to divide time, money, and other quantities into equal parts. For example, a quarter of an hour is 15 minutes, and a quarter of a dollar is 25 cents. In terms of fractions, a quarter is equivalent to 1/4 or 0.25. The term "quarter" can also refer to a period of time, such as a school term or business quarter, which typically consists of three months or 13 weeks. The word "quarter" comes from the Latin word "quartus," which means fourth.

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The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

m= 0

Step-by-step explanation:

6=m+6

6−6=m+6−6

m=0

brainliest would be appreciated. have a great day :)

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = \(4 \times Side\)

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,\(4 \times side = 56\)

Side =\(\frac{56}{4}=14 feet\)

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = \(4 \times side = 4 \times 18 = 72 feet\)

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =\(56 \times 1.21=67.76\)

Cost of fencing 72 feet = \(72 \times 1.21=87.12\)

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

Answer:

compound interest

Step-by-step explanation:

compound interest yields higher profit than simple interest

Answer:

the simple interest function will be greater in the beginning, but the

compound interest equation will overtake the simple after a while.

it appears that the 4% compound equation will overtake the simple at about 10 years

Step-by-step explanation:

\(1 + .05t = 1(1.04)^t\)

The probabilities are:

*0.14 -> 14%.

*0.73 -> 73%.

*0.03 -> 3%.

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

For given data the scatterplot is shown below and the linear correlation coefficient is r = 0.4693

In this question we have been given a data.

We need to use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables.

Given data is:

x| 0.8 1.6 2.7 3.3 4.2 5.8 6.5 7 8.9 9.3 10.8 11.3 12.4 13.7 14.9

y| 3.8 1.9 12.6 9.4 8.2 7.1 4.1 0.1 11.9 13.3 14.1 8.5 9.6 7.4 14.1

The scatter plot for given data is as shown below.

An equation of the line of best fit is: y = 0.4623x + 4.9176

And the coefficient of correlation is:

r = √0.2202

r = 0.4693

Therefore, the scatterplot of given data is shown below.

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Answer:

x=22

Y=10

Step-by-step explanation:

x=22

Y=10

Check the image

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

X + 10 = Y?

Step-by-step explanation:

I think that's it

Answer:76

Step-by-step explanation:

Vince=160

Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.

160-84=76 pick c

Answer: 24

Step-by-step explanation: HI = 2 times KL

-8x + 120 = 2(-8x + 96)

-8x + 120 = -16x + 192

8x = 72

x = 9

KL = -8x + 96

KL = -8(9) + 96

KL = 24

9514 1404 393

Answer:

  D. (-∞, 4]

Step-by-step explanation:

The range is the vertical extent of the graph. The graph extends off the bottom, so the lower end of the range is -∞. The peak values are y=4, so the upper end of the range is 4.

Expressed in interval notation, the range is ...

  (-∞, 4]

_____

Additional comment

The right-side bracket is square because the value 4 is included in the range. The left side bracket is rounded because there's no specific number equal to -∞. We can only say the lowest value of y is greater than -∞.

Answer: (-∞, 4]

Step-by-step explanation: Top of function stops at 4, and is negatively continuous.

The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Answer:

Step-by-step explanation:

really really easy:

x=2y

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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P=A AND Z AND E is the equation, when A=1, Z=1, E=1.

The given inputs are:

A=1 indicates attending all lectures.

Z=1 indicates completing all assignments.

E=1 indicates passing all exams.

The AND gate is defined as 0 is called false and 1 is called true, the gate can be in the same way in the logical operators.

If the output is "true" when both inputs are "true.", or the output is "false." when the output is 1 only when both inputs one AND two are 1.

The logic gate of AND gate:

Input A Input B Output

True True True

True False False

False True False

False False False

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Full question:

Which equation best captures the following logic: Bob will pass the class only if doing all of the following: Bob attends all lectures, completes all assignments, and passes all exams.

Inputs: A = 1 indicates attends all lectures, Z = 1 indicates completes all assignments, E = 1 indicates passes all exams

Outputs: P = 1 indicates passes the class

Answer: 8

Step-by-step explanation:

rectangle's area= (4x8)= 32 cm²

square's area= 2² = 4 cm²

So, the number of squares will be= (32÷4)= 8

Answer:

is it 5ft

Step-by-step explanation:

if the bird bath had a foot taken off in the shadow then wouldn't a foot be taken off for the tent as well

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

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Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

Answer:

$ 1.932

Step-by-step explanation: