A table is on sale for 38% off. The sale price is $527.00.What is the regular price?

The equation of the line whose slope is 1/6 passing through the point (-9, 3) is -x - 6y - 27 = 0

To determine a line's inclination or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Given slope of equation m =[tex]\frac{1}{6}[/tex]

A point on line (x₁,y₁) = (-9,3)

(y-y₁)= m (x-x₁)

(y-3) = [tex]\frac{1}{6}[/tex] ( x − (-9))

y-3= [tex]\frac{1}{6}[/tex] (x+9)

6(y-3) = x+9

6y - 18 = x +9

-x - 6y - 27 = 0

This is the equation of line

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The milestones at which we will be profitable in terms of the number of consumers serviced are going to be (20, $170), and (130, $60).

In several aspects of commerce and finance, a break-even point is an important concept to understand. In the context of finance and accounting, it is a reference to the level of output at which the total production income matches the entire production expenses.

When it comes to financing, the moment at which an investment is considered to have broken even is known as the "break-even point."

When the market price of an underlying asset hits the level at which a buyer will not incur a loss, this is referred to as the break-even point in the options trading market.

In contrast, the point at which a buyer will not incur a loss.

The following will serve as examples of the model:

n - n1 = m(p - p1)

n - 50 = -1(p - 140)

n = -p + 190

Where

Revenue = price * quantity

Revenue = p * n

Revenue = (190 - n) * n

[tex]Revenue= 190n - n^2[/tex]

Cost = 40n +2600

At break-even, revenue = cost

[tex]190n - n^2 = 40n + 2600[/tex]

[tex]n^2 - 150n + 2600 = 0.[/tex]

n = 20 p = 170

n = 130 p = 60

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The value of x is 7 units

Length = 4x + 2 = 4 x 7 + 2

=> length = 30units

Breadth = 5x = 5(7 )= 35

Breadth =  35 units

Given,

Perimeter of the rectangle is 130 units

Length of the rectangle = 4x + 2

Breadth of the rectangle = 5x

To find the  value of x

Now According to the question:

We know that;

Perimeter of a Rectangle = 2(l + b)

where, l = length of the rectangle  

b = breadth of the rectangle

Now, plug the values in above formula :

130 = 2(4x + 2 + 5x)

130 = 2(9x + 2)

130 = 18x + 4

130 - 4 = 18x

126 = 18x

x = 126/ 18

x = 7

Hence, The value of x is 7 units .

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The annual percentage rate (APR) for the loan of $3,600 at 8% add-on interest for 3 years is 15.6%.

The annual percentage rate is the nominal or effective interest rate charged on a loan for a year, unlike the Monthly Percentage Rate (MPR), which is a monthly rate.

The annual percentage rate can be calculated by using the formula:

APR = 2Nr/N + 1

N = number of payments

r = the add-on interest rate

N = 3 years = 36 months (12 x 3)

r = 8% or 0.08 (8/100)

APR = (2 x 36 x 0.08)/(36 + 1)

= 5.76/37

= 0.15.57

= 15.57%

= 15.6%

Thus, with an 8% interest rate for 3 years, the APR is 15.6%.

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The translation of two units right of the graph of y = x is graphed at the end of the answer.

Translation is a transformation to the graph of a function or of a figure that keeps everything such as orientation and inclination stable, changing only the position of the graph.

The translations are movements to left, right, up or down, and each movement is represented as follows:

In this problem, the definition of the translation is given as follows:

y = f(x - 2).

Hence a = 2, and the function is shifted right 2 units.

Considering function y = x, the translated function is:

y = f(x - 2) = x - 2.

(each instance of x in the function is replaced by x - 2).

The graph of the two functions is shown at the end of the answer, which x - 2 being a shift right of 2 units of f(x).

The function is not given, hence we suppose that it is of y = x.

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Answer:

x-intercept is at (18, 0)

y-intercept is at (0, 360)

Answer: B.

Step-by-step explanation: First, you find the difference between 2 and 5  =( 3 ), and 54 and 45 ( -9 ). Meaning the unit rate is -3. (-9/3 = -3)

The difference between 12:00 am and 2:00 am is 2 hours meaning 2 x 3 is 6. 54 + 6 = 60 meaning at 12:00 am it was 60 degrees Fahrenheit.

The critical value of tα/2 for a 90% confidence interval for the sample size 15 is 1.761.

Given, sample size=15

Confidence interval= 90%.

To find the critical value we have to first find alpha, by subtracting 90 from 100.

= 100%-90%

=1-0.9

=0.1

α=0.1

α/2=0.05

Next, we have to find the degrees of freedom(df) by using the formula n-1.

=15-1

df=14

Calculate tα/2 by using t-distribution with degrees of freedom 14 and α/2 = 0.05 as right-tailed area.

From the table we get the critical value for tα/2 as 1.761.

Therefore, the critical value for a 90% confidence interval with sample size 15 is 1.761.

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In order to calculate the area of carpet needed to cover the entire floor, we just need to calculate the area of the room.

The area of a rectagle is calculated by the product of its dimensions, so we have:

So the area of carpet needed is 132 square feet.

For the new price to be 28% less than the original price then, therefore, the original price is definitely more than the new price

Let the original price be

the new price given is

It means that the percentage decrease is

The formula for percentage decrease is

By substitution, we will have

Therefore,

The original price = $775

We are asked to determine probabilities from a population of high school graduates. Let's remember that probability is defined as the quotient of desired events and the number of total events.

a) what is the probability that a 2001 graduate of City High School was accepted into college

To determine the probability we need to find the quotient of the number of students that were accepted into college and the total number of students. The total number of students accepted into college is 145 female plus 100 males, therefore, the probability is:

Therefore, the probability is 65.3%.

b)what is the probability that 2001 graduate of City high School was not a female

To do this we will use the fact that the sum of the probabilities that a student is a female plus the probability that the student is not a female must be equal to 1.

Therefore, solving for the probability that the student is not a female we get:

The probability that the student is female is the quotient between the number of female students and the total number of students, therefore:

Therefore, the probability that the student is not a female is 53.9%.

c) what is the probability that a 2001 graduate of City high School was accepted into college or male

To determine this probability we need to have into account that the probability of event A or event B happening is the sum of both probabilities minus the probability of both events happening at the same time, therefore:

Replacing the probabilities we get:

Solving the operations:

Therefore, the probability that a student is accepted or male is 91.6%

d) what is the probability of being a female given you were accepted into college.​

The probability of event A given event B is given by the following formula:

In this case, we have:

Replacing the probabilities:

Therefore, the probability is 60%.

Okay, here we have this:

Considering the provided information and figure, we are going to calculate the requested measure, so we obtain the following:

We can see that the two triangles are similar because they have the same angles, so from this we have:

PR/RE=PO/OC

PR/195=(PR+160)/305

PR*305=(PR+160)195

305PR=195PR+31200

305PR-195PR=31200

110PR=31200

PR=31200/110

PR=3120/11

PR≈294 ft

Finally we obtain that PR, the distance across the river is approximately 294 ft.

Explanation:

6 bushels = 24 pecks

1 bushel = ??

Answer:

The ratio of bushels to pecks is 1/4

Step 1

The selection formula is;

Answer; 252 groups

We have the following statements and results.

A. A rhombus is a quadrilateral.

True. A rhombus is a quadrilateral all of which sides have the same length.

B. A quadrilateral is a polygon with four angles.

True. A polygon is a plane figure with at least three straight sides and angles, and typically five or more.

C. In quadrilateral PQRS, ∠P and ∠S are opposite angles.

False. If we have a quadrilateral PQRS, that means that ∠P and ∠S are consecutive angles, not opposite.

D. The diagonals of a rhombus are perpendicular and bisect each other.

True. It is true that the diagonals of a rhombus are always perpendicular and bisect each other.

Answer.

Statement C is false.

One option is to use the distance formula.

In this case, this is what Julie would be working with:

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\[/tex]

If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).

The required solution of the inequality on  the number line is represented as x>20 .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without destroying the inequality connection (provided that both of the expressions are in the domain of that function).

–3(2x – 5) < 5(2 – x)

-6x+30 < 10-5x

-6x+5x<-20

-x<-20

x>20 (x∈R)

The inequality relation is flipped when a monotonically decreasing function is applied to both sides of an inequality. In the equations for the adding inverse and multiple inverse for positive numbers, a monotonically decaying function is utilized.

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No solution

y = 4x + 5

y = 4x - 2

Solving algebraically:

equate both equations

y = y

4x + 5 = 4x - 2

collect like terms:

4x - 4x = - 2 - 5

0 = -7

When the right hand side is not the same as the left hand side equation, it is a no solution.

Their intersection point gives no solution

Based on the concept of multiplication, the amount of molecules consumption of water does a person drink in a year is 1.32 x 10²⁸.

Molecules:

A molecules is the group of two or more atoms linked together by sharing electrons in a chemical bond

Given,

There are about 6 x 10²⁴ molecules in a liter of water. it is estimated that a person drinks about 2.2 x 10³ liters of water a year.

Here we have to find the amount of molecules consumption of water does a person drink in a year.

To find the total amount of molecules consumption for the year we have to use the following formula,

Total molecules consumption per year = amount of water x molecules.

Here we know the values of the following,

Water consumption per year = 2.2 x 10³ liters

Molecules of one liter water = 6 x 10²⁴

Apply the values on the formula, then we get,

=> total molecules consumption = (2.2 x 10³) x (6 x 10²⁴)

=> (2.2 x 6) x (10³ x 10²⁴)

=> 13.2 x 10³⁺²⁴

=> 13.2 x ²⁷

It can be further simplified as,

=> 1.32 x 10²⁸

Therefore, the amount of molecules consumption of water does a person drink in a year is  1.32 x 10²⁸.

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f is the ceiling function

f(1.5) = 2

We are asked to express 952 in scientific notation

The scientific notation is given by

The number 952 has the decimal point at the end, so we move this decimal point to the left until there is only one digit is left (9 in this case) and then count the number of times we moved.

In this case, we moved 2 times so the exponent (power) is 2

The sign of exponent is positive when we move to the left (like in this case)

The sign of exponent is negative when we move to the right.

Answer:

10 divided by 3 1/3 is;

Explanation:

We want to divide 10 by 3 1/3;

Firstly, let us convert the mixed fraction to improper fraction;

Then we can proceed to divide;

Therefore, 10 divided by 3 1/3 is;

The cost of the item is $247.5 when x=90

Let x represent the number of units of the item

Cost of item excluding tax = $2.75x

Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. Creating a meaningful mathematical expression, it requires variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.

Finding the cost of the item excluding tax when x=90 we get:

= 2.75*90

= 247.5

So, the cost is 247.5

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a) Area of the parallelogram = b x h

= 9 cm x 7 cm

= 63 cm^2

Consider that the Alternate Exterior Angles are always equal for a transversal passing through two parallel lines.

The given diagram depicts two incline parallel lines and the vertical line acts as a transversal to them.

Now, angle 1 and angle 8 are alternate exterior angles so they must be equal,

So the measure of the angles is given by,

Thus, both the angles measure 149 degrees.

We have the following:

Since it is a square, the sides are equal, and the perimeter is the sum of all the sides, therefore it would be

The answer is 8n - 12

Answer: it is 40 times greater

Step-by-step explanation:

please give brainlyist

Answer:

40x larger

Step-by-step explanation:

9.6 is 4 times larger than 2.4

and 10^4 is 10 times larger than 10^3