Marcy has 20$ she wants to buy a book that is marked down 30% from its original price of 28$ if the sales tax is 2.5% does marcy have enough money to buy the book

Part A: greatest common factor: 4.

Part B: Factor of the expression are: x = 4, 1/2.

Part c: Check for the factors are found correct.

The given expression is-

8x² + 28x - 16 = 0

Part A: The highest number that can be taken common is 4.

4(2x² + 7x - 4) = 0

Thus, greatest common factor: 4.

Part B: Factor of the expression.

4(2x² + 7x - 4) = 0

2x² + 7x - 4 = 0

2x² + 8x - x - 4 = 0

2x(x + 4) - (x + 4) = 0

(x + 4)(2x - 1) = 0

x = 4, 1/2

Thus, the Factor of the expression are: x = 4, 1/2.

Part C: Check:

x = 4, 1/2

8x² + 28x - 16

Put x = 4

= 8(4)² + 28(4) - 16

= 0 (satisfies)

Put x = 1/2

= 8(1/2)² + 28(1/2) - 16

= 0 (satisfies)

Thus, the check for the factors are found correct.

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We would anticipate that a fair six-sided number cube would roll a 4 or 5 roughly 170 times out of 510 rolls.

The likelihood of rolling a 4 or a 5 on any given roll, supposing the six-sided number cube is fair, is 2/6 or 1/3. This indicates that we should anticipate seeing a 4 or a 5 roughly one-third of the time out of 510 rolls.

We may determine this by dividing the total rolls by the likelihood of rolling a 4 or a 5, as follows:

510 * 1/3 = 170

It's crucial to keep in mind that this is merely a prediction based on probability and that the actual outcomes could change as a consequence of chance or other circumstances.

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In a circle value of x is,

⇒ x = 164.5

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle is shown in figure.

Now, We know that;

Sum of all angles in a circle is 360°.

Hence, We can formulate;

⇒ 24 + 21 + (x - 9) + (x - 5) = 360°

⇒ 45 + 2x - 14 = 360

⇒ 2x = 360 - 31

⇒ 2x = 329

⇒ x = 164.5

Thus., The value of x is,

⇒ x = 164.5

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If sine0=1/3 then the values of

cos0 = 2/3

tan0 = 1/2

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that sin 0 = 1/3, we can use the Pythagorean theorem to find the value of cos 0:

cos² 0 + sin² 0 = 1

cos² 0 = 1 - (sin 0)²

cos 0 = √(1 - (sin 0)²)

cos 0 = √(1 - (1/3)²)

cos 0 = √(1 - 1/9)

cos 0 = √(8/9)

cos 0 = √2/3

Next, we can use the relationship between sine and tangent to find the value of tan 0:

tan 0 = sin 0 / cos 0

tan 0 = 1/3 / 2/3

tan 0 = 1/2

So, the values of cos 0 and tan 0 are 2/3 and 1/2, respectively.

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Answer:

1/4

Step-by-step explanation:

Create a chart 18 over 72 and x over 100

Now we multiply 18 by 100 to get 1800

We take that 1800 and divide it by 72 to get 25/100

We can simplify this to 1/4

The area of the shape for the quilt block is eighty three three - fifth (83 3/5) inches square.

It should be noted that to find the area of this six-sided figure, we can break it down into two right triangles and a rectangle.

First, let's find the area of the right triangle with the 4-inch side. This triangle has a base of 4 inches and a height of 5 inches, so the area is (1/2) * 4 * 5 = 10 square inches.

Next, let's find the area of the right triangle with the 5-inch side. This triangle has a base of 5 inches and a height of 4 inches, so the area is (1/2) * 5 * 4 = 10 square inches.

Finally, let's find the area of the rectangle. This rectangle has a base of 10 and three-fifths inches and a height of 6 inches, so the area is (10 + 3/5) * 6 = 63 3/5 square inches.

The total area of the six-sided figure is:

= 10 + 10 + 63 3/5

= 83 3/5 square inches.

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Answer:

One and the same

Step-by-step explanation:

Answer:

He attended school for 9 hours everyday

Step-by-step explanation:

612/68=9

This is because he did 9 hours everyday for 68 days until he go 612 hours of barber school, which means that 612 hours/68 days=hours attended per day

Answer:

(2,1)

Step-by-step explanation:

To find the solution for the system on a graph, look where the two lines intersect, that coordinate is your answer.

The solution to the system of equations y = 2x - 1 and y = -1/3x + 3 is given as follows:

(1.714, 2.429).

The system of equations for this problem is defined as follows:

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

(1.714, 2.429).

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The percent of discount applied to the book bags is 56.6%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bookbags sold for $29.95. Now that school is in session, the same book bags are only $13.00.

So, The amount of discount is,

= $(29.95 - 13.00).

= $16.95.

Therefore, The percentage discount is,

= (16.95/29.95)×100%.

= 56.6% discount.

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Answer:

Step-by-step explanation:

3*2+3*8+2-2*5=6+24-10+2=22

Her net pay is 1270.85 pounds

What is Net Pay?

Net Pay is the take-home pay an employee receives after you withhold deductions. You can find net pay by subtracting deductions from gross pay.

where,

Gross monthly pay = 1,480 pounds

Income tax = 112.67 pounds

NICs = 96.48 pounds

Net pay = Gross pay - Deductions

Net pay = 1,480 - (112.67 +96.48)

Net pay = 1480 - 209.15

Net pay = 1270.85 pounds

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Answer:

21+35

Step-by-step explanation:

7(3+5)=7x3+7x5=21+35

Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

Answer:

81

Step-by-step explanation:

using the rule of exponents

• [tex]a^{0}[/tex] = 1

then

[tex]3^{4}[/tex] × [tex]3^{0}[/tex]

= [tex]3^{4}[/tex] × 1

= 3 × 3 × 3 × 3

= 9 × 9

= 81

Answer: Hello! I'm JK!.....

81

Use the power rule to combine exponents. 3^4+^0

Add 4 and 0. 3^4

Raise 3 to the power of 4.

81

Step-by-step explanation:

 I really hope this helps you! <3 XoXoGoldenMaknae

The 2008 AP Multiple Choice AB answers and solutions can be found on the College Board website or through other online resources.

However, it is important to remember that simply looking up the answers will not help you in the long run. It is important to understand the concepts and methods behind each question in order to be successful on the AP exam.

Here are the answers to the 2008 AP Multiple Choice AB exam:

1. B
2. D
3. C
4. B
5. A
6. D
7. D
8. C
9. B
10. D
11. C
12. B
13. D
14. A
15. D
16. B
17. C
18. D
19. A
20. D
21. B
22. C
23. D
24. B
25. C
26. D
27. A
28. B

It is important to remember that simply knowing the answers will not guarantee success on the AP exam. It is important to understand the concepts and methods behind each question in order to be successful. If you are having difficulty with a particular question or concept, it is recommended that you seek out additional resources or assistance from a teacher or tutor.

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Based on the low correlation value of 0.05, Bob concludes that the number of bedrooms in a home is not a strong predictor of its selling price.

The statistical method called correlation to measure the strength of the relationship between these two variables.

A correlation value of 0.05 indicates that there is a weak relationship between the number of bedrooms in a home and its selling price. In statistical terms, this means that the number of bedrooms in a home only explains 5% of the variation in the selling price.

A correlation value can range from -1 to 1.

A value of -1 indicates a perfect negative correlation, meaning that as the number of bedrooms in a home increases, the selling price decreases.

A value of 1 indicates a perfect positive correlation, meaning that as the number of bedrooms in a home increases, the selling price also increases.

A value of 0 indicates no correlation, meaning that there is no relationship between the number of bedrooms in a home and its selling price.

Other factors, such as location, square footage, and the overall condition of the home, likely play a larger role in determining the selling price.

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5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Hence there are the rules of the the scientific notation.

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The correct option for the systems of equations that has the solution (–1, 5) is - A. y = 3x + 8 and y = –x + 4.

According to the discussion above, a system of equations is a collection of equations that aim to find a similar solution for all of the variables.

For the given solution of (–1, 5).

It must satisfy the given systems of equations.

Put x = - 5 and if y = 5 comes, it satisfies the equation.

Thus,

Option A:

y = 3x + 8

Put x = -1

y = 3(-1) + 8 = 5

y = –x + 4

Put x = -1

y = -(-1) + 4

y = 5

Thus, option A satisfies the given systems of equations.

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Answer: A:  y = 3x + 8

                y = –x + 4

Step-by-step explanation:

1. Translation – (x+3, y-3) :

To move the figure 3 units to the right in the x-direction and 3 units down in the y-direction.

2. Dilation – Reduce the figure by ½ is:

When reducing a figure by ½, every dimension of the figure is divided by 2.

3. Reflection- Reflect over the line y = x

Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

4. Rotation – Rotation of 180 degrees around the origin.

When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location.

Translated to plain English, this means to move the figure 3 units to the right in the x-direction and 3 units down in the y-direction. When we apply the translation (x+3,y-3) to a figure, it means that we move the entire figure 3 units to the right in the x-direction, and 3 units down in the y-direction. So, the translation (x+3,y-3) simply shifts the figure to a new location that is 3 units to the right and 3 units down from its original location.

Dilation is a transformation that changes the size of a figure. When reducing a figure by ½, every dimension of the figure is divided by 2. In other words, every point in the figure is moved to a point that is half the distance from the center of dilation.

Reflecting a figure over a line means to create a mirror image of the figure on the other side of the line. Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

Rotating a figure means to turn it around a fixed point. When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location. This means that every point is flipped over to the opposite side of the origin.

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The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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To convert 3/5 to a decimal, we divide the numerator by the denominator  and we get 0.6. 3/5 as a decimal is 0.6.

To convert 3/5 to a decimal, we divide the numerator (3) by the denominator (5):

3 ÷ 5 = 0.6

Therefore, 3/5 as a decimal is 0.6.

Converting a fraction to a decimal involves dividing the numerator by the denominator. To convert 3/5 to a decimal, we can use long division or a calculator to perform the division. In this case, 3 divided by 5 equals 0.6. Alternatively, we can also recognize that the fraction 3/5 can be written as a decimal by dividing the numerator by the denominator. Since 3 is the same as 3.0, we can add a decimal point after 3 and divide by 5 to get 0.6. The decimal form of a fraction can be useful for making comparisons or performing calculations with other decimal numbers.

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Complete Question

what is 3/5 as a decimal?

Answer:

x = 22.5

Step-by-step explanation:

the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is

[tex]\frac{9}{x-9}[/tex] = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(x - 9) = 27

2x - 18 = 27 ( add 18 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

The required mortgage brokerage fee is $1,654.45, which is closest to option A: $1,653.45.

The percentage is the ratio of the composition of the subject to the overall composition of the subject multiplied by 100.

Here,

To calculate the mortgage brokerage fees, you need to add the fixed fee of $300 to 1.05% of the house price. Here's how to calculate it:

Calculate 1.05% of $128,900:

0.0105 x $128,900 = $1,354.45

Add the fixed fee of $300 to the result:

$1,354.45 + $300 = $1,654.45

Therefore, the answer is $1,654.45, which is closest to option A: $1,653.45.

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If an area of the circle is 200.96 cm^2 , then the circumference of the same circle is approximately around 28.28 cm^2.

The formula for the area of a circle is given by:

A = πr^2,

where A is the area and r is the radius of the circle.

To find the circumference of a circle, we can use the formula:

C = 2πr,

where C is the circumference and r is the radius.

To solve for the circumference, we first need to find the radius of the circle. We can use the formula for the area to find the radius:

A = πr^2

200 = πr^2

r^2 = 200 / π

r = √(200 / π)

Next, we can substitute the value of r into the formula for the circumference to find the circumference:

C = 2πr

C = 2π * √200 / π)

C = 2 * √(200)

Approximating √(200) to 14.14, we get:

C ≈ 2 * 14.14 = 28.28

So the approximate circumference of a circle with an area of 200 square cm is 28.28 square cm.

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Answer:

During the Holocaust, Jews who were living in Nazi-occupied countries were more vulnerable than German Jews for several reasons. First, German Jews had some level of protection under German law until 1935, when the Nuremberg Laws stripped them of their citizenship and legal rights. In contrast, Jews in occupied countries had no legal protection or rights.

Second, German Jews had more resources and networks to help them escape persecution or go into hiding, such as family members or friends who were not Jewish or non-Jewish organizations that were sympathetic to their plight. Jews in occupied countries, especially in Eastern Europe, often had less access to resources and networks because they were living in ghettos or had been transported to concentration or extermination camps.

Third, German Jews were often better-educated and assimilated into German society, which sometimes gave them advantages in finding employment or housing. Jews in occupied countries, especially in Eastern Europe, often lived in poverty and were more likely to be living in rural areas or small towns, which made them more vulnerable to persecution and deportation.

This suggests that the society's "universe of obligation" during the Holocaust was limited to certain groups of people, namely German Jews who were seen as having more value or worth than Jews in other countries. This limited universe of obligation meant that Jews in occupied countries were not considered as valuable or worthy of protection, and therefore were more vulnerable to persecution and violence. The Holocaust serves as a tragic example of how societies can create a narrow universe of obligation that excludes entire groups of people and leads to horrific consequences.

Step-by-step explanation:

The sketch for the graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The table of values

Next, we plot the points on the graph using the following scale on the y-axis

1 unit = 1000000000 people

See attachment for the graph

From the graph, we can see that

The curve never intersects with the y-axis

This means that

y ≠ 0

The interpretation of this is that the scientists were not able to completely turn all the zombies to human

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Answer:

1

Step-by-step explanation:

The diagonal is √2 times the length of any side. So √2/√2 is 1.