The computer store by the A computer system at the cost of $574.50 the selling price was first $891 but then the storage advertised a 40% markdown on the system.
A) find the current sale price
B) members of the stores loyalty club get an additional 15% off the computer purchases. How much do the club members pay for the computer with their discount

Answer:

y = - 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 , then

y = - 5x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = - 5x - 4 ← equation of line

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

(x - 10)(x + 2)

Step-by-step explanation:

We are looking for two things that multiply together to give us

x^2 - 10x - 20

These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)

We know the first term in the binomial has to be x, because x times x is x^2.

And then we are looking for two numbers that multiply to -20 but also add up to -8.

-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)

Answer:

Option C

Step-by-step explanation:

x² - 8x - 20

x² - (10x - 2x) - 20

x² - 10x + 2x - 20

x(x - 10) + 2(x - 10)

(x - 10)(x + 2)

Hence

Option C is correct

Answer:

\(\frac{15\pi }{4}\)

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to \(\frac{15pi}{4}\).

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*\(\frac{pi}{180}\).

We will substitute 675 for angle in degree into the formula to get the value in radian.

\(\frac{675*pi}{180}\)

This will be \(\frac{15pi}{4}\).

Therefore, the correct answer is \(\frac{15pi}{4}\).

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

Answer:y=x divided by 3 times 5.

Step-by-step explanation:

if you divide x for example 6 by 3, you will get 2 then multiply it by 5, you will get 10, which is y.

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.

A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.

by the question.

The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.

To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:

d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)

Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).

To find the x-coordinate of the point we're looking for, we can use the formula:

x = (distance from V to point we're looking for)/ (total distance) * x

coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.

Substituting the values, we found:

x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08

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Answer:

sept one

Step-by-step explanation:

The correct options are;

Lines l and n are perpendicular

Lines m and n are perpendicular

Why are they known as perpendicular lines?

Two lines that meet or cross at right angles (90°) are known as perpendicular lines in geometry.

                            The word "perpendicular," which refers to a plumb line in English, comes from the Latin "perpendicularis."

Where two lines l an m are said to be perpendicular to a given line n, then we have;

1) When  l and m are in different planes,

a) l and m can be parallel lines to each other or

b) l and m can be perpendicular to each other or

c) l and m can be at an angle x, to each other

2) When l and m intersect with the line n at a point p, then, we have;

l and m must be in the same plane with each other.

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The complete question is -

Two distinct lines, l and m, are each perpendicular to the same line n. Select all the true statements. Lines l and m are perpendicular Lines l and n are perpendicular Line m and n are perpendicular Lines l and m are parallel Lines l and n are parallel Line m and n are parallel

On solving the provided question, Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1

A formula is a statement that the values ​​of two expressions are equal. The formula essentially says that two things are equal. An equals sign or '=' indicates that. 8+2=12-2 is an example equation. According to the above formula, the left side of the formula is equal to the right side. So the equation is the statement "this is equal to that".

Doug can paint 1/5 of a room per hour, Dave can paint 1/7 of a room per hour, and the time they spend working together is t-1.

Since rate multiplied by time gives output, 1/5+1/7 (t-1)=1

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As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.

The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.

Let's call the length of the shorter side "x".

The other side is seven times as long, so it is 7x.

The perimeter of the rectangle is 168 feet, so we have

=> 2x + 14x = 168.

Simplifying the equation, we have

=> 16x = 168.

Dividing both sides of the equation by 16, we find

=> x = 10.5.

So, the length of the shorter side is 10.5 feet and the length of the longer side is

=> 7x = 7 * 10.5 = 73.5 feet.

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To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

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Answer:

139.5 cm²

Step-by-step explanation:

12 · 9

108 cm²

7 · 9

63

63 ÷ 2

31.5 cm²

108 cm² + 31.5 cm²

139.5 cm²

Answer:

y do not vary directly with x

Step-by-step explanation:

Given

x ----- y

7------11

8------13

9------15

10----17

Required

Determine if y varies directly with x

To do this, we make use of the following equation

\(y = kx\)

Where

k = constant of variation

Make k the subject

\(k = \frac{y}{x}\)

When

\(x = 7; y = 11\)

\(k = \frac{11}{7}\)

\(k = 1\frac{4}{7}\)

When

\(x = 8; y = 13\)

\(k = \frac{13}{8}\)

\(k = 1\frac{5}{8}\)

Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.

In the above calculations, we have:

\(k = 1\frac{4}{7}\) and \(k = 1\frac{5}{8}\)

Because of the difference in the values of k, we can conclude that y do not vary directly with x.

Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)

Answer:

-2x + 6 > 10

Step-by-step explanation:

Let the unknown number be x

the product of x and -2 is -2x

6 more than -2x is written as

-2x + 6

if the result of the above is greater than 10, then

-2x + 6 > 10

The required value of f(5) would be 81.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given the function below as:

f(n) = f(n-1) - 3   ....(i)

f(1) = 3

To determine the value of f(5)

Substitute the value of n = 2 in the equation (i);

f(2) = - 3f(1) = - 3;

n = 3,

f(3) = - 3f(2) = 9;

n = 4,

f(4) = - 3f(3) = - 27,

n = 5,

f(5) = - 3f(4) = 81

Thus, the required value of f(5) would be 81.

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The ratio that is equivalent to Stefanie's rate is 1 : 2

The given parameters are

Distance = 4 miles

Trips = 2

The ratio that is equivalent to Stefanie's rate is represented as

Rate = Trips/Distance

So, we have

Rate = 2 trips /4 miles

Evaluate

Rate = 1/2 trip per mile

Express as raton

Ratio = 1 : 2

Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2

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Answer:

Base = 10 ft. and the height = 6.

Step-by-step explanation:

Area of triangle = 1/2bh

base is 4 + h  ⇔  base = 4 + h

height = h

Using the formula for the area of triangle substitute into the formula the given facts.

A = 1/2bh

30 = 1/2(4 + h) (h)

30 = 1/2(4h + h²)     Multiply both sides by 2

60 = 4h + h²

-60 =           -60      Add -60 to both sides

0 = h²+ 4h -60        

(h + 10)(h - 6) = 0      Factor

h + 10 = 0    h - 6 =0

h = -10         h = 6

reject any negative number and use the positive answer for h.

So h = 6      and the base = 4 + 6 ; base = 10

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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The trapezoids in the picture follow the next proportion:

Replacing with data and solving for PU,

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

I brlive the answer is B.........

Answer:

The answer is C) ASA

Step-by-step explanation:

This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

Solution : 5.244 - 16.140i

Step-by-step explanation:

If we want to express the two as a product, we would have the following expression.

\(-6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi }{5}\right)\right]\cdot 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]\)

Now we have two trivial identities that we can apply here,

( 1 ) cos(- π / 2) = 0,

( 2 ) sin(- π / 2) = - 1

Substituting them,

= \(-6\cdot \:2\sqrt{2}\left(0-i\right)\left(\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi }{5}\right)\right)\)

= \(-12\sqrt{2}\sin \left(\frac{2\pi }{5}\right)+12\sqrt{2}\cos \left(\frac{2\pi }{5}\right)i\)

Again we have another two identities we can apply,

( 1 ) sin(x) = cos(π / 2 - x )

( 2 ) cos(x) = sin(π / 2 - x )

\(\sin \left(\frac{2\pi }{5}\right)=\cos \left(\frac{\pi }{2}-\frac{2\pi }{5}\right) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\)

\(\cos \left(\frac{2\pi }{5}\right)=\sin \left(\frac{\pi }{2}-\frac{2\pi }{5}\right) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}\)

Substitute,

\(-12\sqrt{2}(\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}) + 12\sqrt{2}(\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4})\)

= \(-6\sqrt{5+\sqrt{5}}+6\sqrt{3-\sqrt{5}} i\)

= \(-16.13996 + 5.24419i\)

= \(5.24419i - 16.13996\)

As you can see option d is the correct answer. 5.24419 is rounded to 5.244, and 16.13996 is rounded to 16.14.

Answer:

34.63

Step-by-step explanation:

The 2 in 34.6285 marks the hundredths place

We can round by seeing what number is to the right of it which is 8.

Since 8 is larger than 5, we round up by 1.

Thus, 34.63 is our answer

The answer is:

34.63

Work/explanation:

Rounding to the nearest hundredth means rounding to 2 decimal places (DP).

So we have 2 decimal places, and the 3rd one matters too because it will determine the value of the 2nd DP.

The third DP is 8. Since it's greater than 5, then the value of the 2nd DP will be rounded up. I will add 1 to it.

Remember that we round up when the digit that we're rounding to is followed by another digit that is greater than or equal to 5.

So we round :

\(\bf{34.6285 =\!=\!\!\! > 34.63}\)

Answer:

Walnuts cost $3.25 a point and chocolate chips cost $1.50 a pound

Step-by-step explanation:

Let w =  the cost of walnuts per pound

Let c = the cost of chocolate chips per pound.

2w + 3c = 11

4w + 8c = 25

Multiply the first equation by -2 and then add it to the second equation

-4w - 6c + = -22

4w + 8c = 25

        2c = 3  Divide both sides by 2

          c = \(\frac{3}{2}\) = $1.50

The chocolate chips cost $1.50 per pound

Substitute 1.50 for c into either the of the 2 original equations

2w +3(1.50) = 11

2w + 4.50 = 11  Subtract 4.50 from both sides

2w = 6.50  Divide both sides by 2

w = 3.25

The walnuts cost 3.25 per pound

Check

2w + 3c = 11

2(3.25) +3(1.50) = 11

6.50 + 4.50 = 11

11 = 11

4w + 8c = 25

4(3.25) + 8(1.50) = 25

13 + 12 = 25

25 = 25

Answer:

This graph shows a negative correlation

Hope this helps!

Answer: It’s True

The explanation: I did this already and I got an 100% I hope this helps I you have other questions just ask me! Hope you get a good score!