If Arnav applies the Distributive Property to the expression 4+8(y+3)+x, which expression will he get?

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

Step-by-step explanation:

Answer:

the answer is 3,9

Step-by-step explanation:

-3x+2y=9

3(x+y=12)

-3x+2y=9

3x+3y=36

5y=45

_ __

5 5

y=9

x+y=12

x+9=12

-9 -9

_______

x=3

Answer:

12.6 kilometers

Step-by-step explanation:

5.25/5 = x/12

cross multiply

5x = 63

divide both sides by 5

x = 12.6 kilometers

A Distance of 12.6 kilometers is traveled in a year. The distance traveled is the product of velocity and time.

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

The formula for the distance is;

\(\rm d = v \times t \\\\ v = \frac{d}{t}\)

The distance traveled in the 5-month period is 5.25 km equal to 1 by 12 of the total distance traveled.

\(\rm v=\frac{x}{12} \\\\ \frac{5.25}{5} =\frac{x}{12} \\\\ 5x=63 \\\\ x =12.6 \ km\)

Hence distance of 12.6 kilometers is traveled in a year.

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Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

The image of (-5, 9) after a reflection over the y-axis is (5, 9).

What is axis?

In mathematics, an axis is a straight line around which an object is symmetrical. It is often used in geometry to describe the reference line or reference point about which a figure is symmetric or rotates.

In a two-dimensional coordinate system, the x-axis and y-axis are two perpendicular lines that intersect at the origin (0,0). The x-axis is typically the horizontal axis, while the y-axis is the vertical axis.

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Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

Let:

A = Unlock the table on the first try

a = Number of Possible right digits

N = Total number of possible digits

the probability the spy is able to unlock the tablet on his first try is:

According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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Answer:

5

Step-by-step explanation:

b is at 15

n is at 10

hence -15 - -10=5

positive 5 btw

Answer:

75%

Step-by-step explanation:

85 - 50

50

x 100% = 70%

Just trust me, if the helps mare as brainlisest.

The percent increase for a blue-ticket sponsorship is 70%.

Here, we have to calculate the percent increase in the blue-ticket sponsorship, we need to find the difference between this year's price and last year's price and then express that difference as a percentage of the original (last year's) price.

Let:

Last year's price = $50

This year's price = $85

The increase in price = This year's price - Last year's price

Increase in price = $85 - $50 = $35

Now, to calculate the percent increase, we divide the increase in price by the original price (last year's price) and then multiply by 100 to express it as a percentage:

Percent increase = (Increase in price / Last year's price) * 100

Percent increase = ($35 / $50) * 100

Percent increase = 0.7 * 100

Percent increase = 70%

So, the percent increase for a blue-ticket sponsorship is 70%.

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By solving some linear equations we can see that:

The first missing number is 5.

The second missing number is 9

Here we have a decomposition of the number 360, this means that if we define x as the missing number, then we must have that:

2*x*2*2*3*3 = 360

So we just need to solve this linear equation.

x*72 = 360

x = 360/72 = 5

x = 5

The missing number in the tree is 5.

Similarly, for the second tree if the missing number is y, we should have:

2*5*4*y = 360

40*y = 360

y = 360/40 = 9

The missing number is 9.

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The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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The answer to this problem is 9.

-6+(-3)-(-18)

Since (+)(-)=(-) and (-)(-)=(+),

-6-3+18

-9+18

9

Answer:

9

Step-by-step explanation:

-6 + -3 - (-18)

-6 - 3 + 18

-9 + 18

9

- (-) = +

+ (+) = +

- (+) = -

+ (-) = -

Answer:

i believe it's C i may be wrong

Step-by-step explanation:

Answer: -4

Step-by-step explanation:

the slope is -4 because when x goes down by 2, y goes down by -8, so the y intercept is -4 because when x=-1 y=0 so if you go down 4 and over 1, you get the point x=0 and y=-4

The values as per similarity of traingles is x=4 and y=10.

Since ABC and DEF are similar triangles, their corresponding sides are proportional.

That is,

AB/DE = AC/EF = BC/DF

Substituting the given values, we get:

9/6 = 18/10 = (4x-1)/y

Simplifying this expression, we can solve for x and y:

9/6 = (4x-1)/y

Cross-multiplying, we get:

27y = 6(4x-1)

27y = 24x - 6

Substituting y = 10/3, we get:

(27)(10/3) = 24x - 6

90 = 24x - 6

96 = 24x

x = 4

Therefore, the value of x is 4.

9/6 = (4x-1)/y

Substituting x = 4, we get:

9/6 = (4(4)-1)/y

9/6 = 15/y

Cross-multiplying, we get:

9y = 90

y = 10

Therefore, the value of y is 10.

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The money that Jill has at the end of the two months is $2,745.00.

From the information, the profits for Jill's Homestead over two months are as follows:

April:−$1,424.00

May:$4,169.00

Therefore, the addition of the amount will give the total profit. This will be:

= -$1424 + $4169

= $2745

The amount is $2745.00.

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The point (2,0), which is (-3,2), is √29 units away from the origin.

A pair of numbers called coordinates are used to locate a point or a shape in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane. The term "ordinate" refers to a point's separation from the x-axis when scaled with the y-axis. Coords are the collective noun for the abscissa and ordinate. The study of algebraic equations on graphs is known as coordinate geometry. The plotting of points, lines, and curves on an x and y axis is an illustration of coordinate geometry.

Here,

distance=√(y2-y1)²+(x2-x1)²

=√(2-0)²+(-3-2)²

=√2²+-5²

=√4+25

=√29

The distance of the point (-3,2) from the origin that is (2,0) is √29 units.

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The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

Given that;

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

What is the standard deviation?

Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.

Now,

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

The confidence interval for mean waste recycled per person is

\((x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )\)

\((1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })\)

\((1.592, 1.807)\)

Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

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Comparing the articles I, II, and III of the constitution, in the descending order of length and detail, the articles are ranked as I, II, and III. Article I is the longest.

Article I of the constitution created the legislative branch, article II of the constitution created an executive branch, and article III of the constitution created a judicial constitution. Article I is the longest and more detailed part of the constitution as the powers and the duties of the legislative branch are much more varied than the executive branch. Additionally, the legislative branch is composed of more individuals than the executive branch.

Article 1 is the longest as founding fathers believed that a legislative branch is very important in a government that represents the citizens. Article 3 is the shortest part of the constitution as the founding fathers did not expect the judiciary to play a large role.

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The monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To calculate the monthly mortgage payment, we can use the formula for calculating the fixed monthly payment for a fully amortizing loan. The formula is: M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal balance

r = Monthly interest rate (annual interest rate divided by 12 and converted to a decimal)

n = Total number of monthly payments (loan term multiplied by 12)

Plugging in the given values into the formula:

P = $100,000

r = 0.05/12 (5% annual interest rate divided by 12 months)

n = 30 years * 12 (loan term converted to months)

M = 100,000 * (0.004166667 * (1 + 0.004166667)^(3012)) / ((1 + 0.004166667)^(3012) - 1)

M ≈ $536.82

Therefore, the monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

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It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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To draw a parallel line through a point outside a given line, draw a circle with the point as center intersecting the line, then connect the intersection points to the given point.

To draw a line segment from a point P outside a line l and parallel to l using a ruler and compass, follow these steps:

Here is a step-by-step breakdown:

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Answer:

The distributive property can be used to simplify the algebraic expression 3(x+1) by breaking down the terms into more basic operations. By using the distributive property, we can write the expression as 3x + 3. By simplifying the expression this way, we can see that the expression is equivalent to 3 times the sum of x and 1.

Answer:

it's -5/2

A-P-E-X

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.

The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.

In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.

Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.

Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.

Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.

Therefore, the correct answer is: One-time pad.

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