original price $50 mark up 10% selling price?

By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60

A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.

For a 2x2 matrix A =  \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc

To solve the system of equations using determinants, we need to set up the following matrix:

\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)

The determinant οf this matrix (D) is fοund by using the fοrmula:

D = (3)(-1) - (5)(2) = -13

Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dx = (27)(-1) - (5)(-8) = -11

Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dy = (3)(-8) - (27)(2) = -60

Therefore, the values οf the determinants are:

D = -13

Dx = -11

Dy = -60

To know mοre about determinants visit:

brainly.com/question/9879801

#SPJ1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

Answer:

3rd one

Step-by-step explanation:

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

right on edge

Answer:

y = 48x + 36

Step-by-step explanation:

m = 48

y = 48x +36

\( \frac{1 - 1}{2} = \frac{0}{2} \)

the result is 0

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

To learn more about the construction of an angle visit:

https://brainly.com/question/28451077.

#SPJ1

Answer:

38

Step-by-step explanation:

Answer:

Data set A mean = 4

Data set B mean = 6.5

Step-by-step explanation:

Data set A:

3(3) + 4(2) + 5(3) = 32

32/8 = 4

Data set B:

5(4) + 6(4) + 7(4) + 8(4) = 104

104/16 = 6.5

Data set A mean = 4

Data set B mean = 6.5

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

Answer:

openup 1 em We want to find the points on the curve y=2x^3-3x^2-12x+20y where the tangent line is parallel to the xx-axis, which means that the slope=0

Answer:

273.75 days

Step-by-step explanation:

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

for such more question on percentile

https://brainly.com/question/24877689

#SPJ8

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

For such more questions on missing coordinates:

https://brainly.com/question/27481419

#SPJ11

Answer:

yes this person did because I have the same question

Step-by-step explanation:

Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

Answer:

(-14, -54)

Step-by-step explanation:

Let's call the functions f and g

f(x) = ax + b

f(0) = a*0+b = 2

f(3) = a*3 + b = 14

From f(0) = 2 we know that b = 2

f(3) - f(0) = a*3 = 14 - 2

a = 4

We know that f(x) = 4x + 2

g(x) = cx + d

g(0) = -12

g(3) = -3

From g(0) = -12 we know that d = -12

g(3) - g(0) = c*3 = -3 - (-12) = 9

c = 3

We know that g(x) = 3x - 12

Now we need to solve

4x + 2 = 3x - 12

x + 2 = -12

x = -14

y = 4*(-14) + 2 = -56 + 2 = -54

y = 3*(-14) - 12 = -42 - 12 = -54

Checks out.

The solution to the system of linear functions that is represented by both tables is: (-14, -54).

The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.

To find the solution, state the equation that represents each of the functions in the given tables:

y = 4x + 2 represents table 1

y = 3x - 12 represents table 2.

Thus, set both equations equal to each other.

4x + 2 = 3x - 12

Combine like terms

4x - 3x = -2 - 12

x = -14

Find the value of y by substituting x = -14 into y = 3x - 12:

y = 3(-14) - 12

y = -54.

Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).

Learn more about system of linear functions on:

https://brainly.com/question/8627594

Solution

We will solve the question using the laws of logarithm

Some of the laws we will use are stated below

Also ,

Given ;

Using same logarithm base ruke , we have

Removing the logarithm , we have

We can now solve the equation obtained as shown below

We will ignore x is negative 5 , since we cannot have a negative logarithm

The final answer is x=5

OPTION B

Step-by-step explanation:

\(4x + 2 = 22 \\ 4x = 20 \\ x = 5\)

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

13.6 hours

Step-by-step explanation:

To find the mean you first add all the numbers together, in this case 68. Then you have to divide this by the number of scores you added, which is 5. So 68/5= 13.6

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer:

Z-value is what we called the number of standard deviations from the mean.  62% is 8% one standard deviation to the left, or a Z-value of -1.  94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three.  You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%

Step-by-step explanation:

Please mark me as brainlist

Answer:its c i took the test

Step-by-step explanation:

im right

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

i personally would much rather have $20 off, because as the price goes up the less money you get off of the total price. but with $20 off, youre automatically getting $20 off. if you were to get %20 off of something that is $50, youd only get about $10 off, but if you used the $20 off coupon, you would get $20. which would be much better. so instead of partially getting some of it off, you can get a much larger amount off

a. Volume of the composite solid = 96 cm³

b. Surface area of the composite solid = 148 cm²

The composite solid can be decomposed into two rectangular prisms.

The volume of a rectangular prism = (length)(width)(height)

The surface area of a rectangular prism = 2(wl + hl + hw), where h is the height, l is the length, and w is the width of the rectangular prism.

a. Volume of the composite solid = volume of A + volume of B = (4)(3)(4) + (8)(3)(2)

Volume of the solid = 48 + 48

Volume of the composite solid = 96 cm³

b. Surface area of the composite solid = surface area of A + surface area of B - 2(l)(w) = 2·(3·4+4·4+4·3) + 2·(3·8+2·8+2·3) - 2(4)(3)

Surface area of the composite solid = 92 + 80 - 24

Surface area of the composite solid = 148 cm²

Learn more about the volume and surface area of composite solid on:

https://brainly.com/question/17065613

#SPJ1

Answer:

The angle is 148 degrees

Step-by-step explanation:

180 = supplemtary angles

180 = 32 + angle unknown

180-32 = Angle unknown

148 = Angle unknown