2 people are going to equally share 5 kg of chocolate. How many kilograms of chocolate should each person get?

Answer:

respuesta es : -810 xy

Step-by-step explanation:

:)

Solving a system of equations we will see that x = 2.

We know that the two rectangles are similar, so if k is the scale factor between them, we can write:

3x - 1 = k*4

8x -1  = k*12

So we have a system of equations.

Taking the quotient between the two equations we will get:

(3x - 1)/(8x - 1) = k*4/k*12

(3x - 1)/(8x - 1) = 4/12

3x - 1 = (1/3)*(8x - 1)

3x - 1 = (8/3)*x - 1/3

3x - 8/3x = 1 - 1/3

(1/3)*x = 2/3

x = 3*(2/3) = 2

x = 2

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Answer: -5

Step-by-step explanation:

from slope-intercept form, y=mx + b, where b is (-2), and the slope/m is (-5).

hope this helps, and please respond if I'm wrong

M = -5

That’s the answer

The features of the rational function are listed below:

Domain: All real numbers except x = 5.

Range: All real numbers except f(x) = 3.

Vertical asymptote: x = 5

Horizontal asymptote: f(x) = 3

x-Intercept: x = 16 / 3

y-Intercept: f(0) = 16 / 5

In this problem we find the definition of a rational function:

f(x) = - 1 / (x - 5) + 3

Whose features introduced below must be derived:

Domain

Domain of rational functions are all real numbers expect when x - 5 = 0.

Dom {f(x)} = R - {5}

Range

Range of rational functions are all real numbers except horizontal asymptote.

Ran {f(x)} = R - {3}

Vertical asymptote

x = 5

Horizontal asymptote

f(x) = 3

x-Intercept

- 1 / (x - 5) + 3 = 0

1 / (x - 5) = 3

1 = 3 · (x - 5)

1 = 3 · x - 15

3 · x = 16

x = 16 / 3

y-Intercept

f(0) = - 1 / (0 - 5) + 3

f(0) = 1 / 5 + 3

f(0) = 16 / 5

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All four statements are true. The first statement is true because 24g4+18g2 can be factored into 6g2(4g2+3g). The second statement is true because 4g2−g can be factored into g2(4−g). The third statement is true because 9g3+12 can be factored into 3(3g3+4). The fourth statement is true because 35g5−25g2 can be factored into 5g2(7g3−5).

Parenthesis are punctuation marks that are used to set apart a clause or phrase within a sentence. They are also known as round brackets and are used to add additional information or asides to a sentence. Parenthesis are used to provide additional information, to emphasis a point, to give examples, to define terms, and to explain ideas.

The first statement is 24g4+18g2=6g2(4g2+3g). This translates to 24g to the fourth power plus 18g squared equals 6g squared left parenthesis 4g squared plus 3g right parenthesis. The second statement is 4g2−g=g2(4−g). This translates to 4g squared minus g equals g squared left parenthesis 4 minus g right parenthesis. The third statement is 9g3+12=3(3g3+4). This translates to 9g cubed plus 12 equals 3 left parenthesis 3g cubed plus 4 right parenthesis. The fourth statement is 35g5−25g2=5g2(7g3−5). This translates to 35g to the fifth power minus 25g squared equals 5g squared left parenthesis 7g cubed minus 5 right parenthesis.

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The length of BC  in the triangle is 24 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore, using proportion,

BC / x = 12 / x - 4 = x + 7 / 5

12 / x - 4 = x + 7 / 5

cross multiply

12 × 5 = (x - 4)(x + 7)

60 = x² + 7x - 4x - 28

x² + 3x - 28 - 60 = 0

x² + 3x - 88 = 0

x² - 8x + 11x - 88 = 0

x(x - 8) + 11(x - 8) = 0

(x + 11)(x - 8) = 0

Therefore,

x = - 11 and x = 8

Hence,

BC / x = 12 / x - 4

BC / 8 = 12 / 8 - 4

BC / 8 = 12 / 4

4BC = 96

BC = 96 / 4

BC = 24 units

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The values of x and y  equals to  13 , 52 respectively .

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

If y varies directly with x, it means that y is proportional to x, and we can write this relationship as:

y = kx

where k is the constant of proportionality.

To find the value of k, we can use the given information that x = 7 when y = 28:

28 = k * 7

Simplifying this equation, we get:

k = 28/7 = 4

Now that we have found the value of k, we can use the equation y = kx to find y when x = 13:

y = 4 * 13 = 52

Therefore, The values of x and y  are 13 , 52 respectively .

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The dimensions of the triangle have been doubled in this case so, the perimeter will also be doubled, and the area will be four times.

The entire area filled by a triangle's three sides on a two-dimensional plane is known as the triangle's area. A = 1/2 b h is the basic equation for a triangle's area, where b and h represent the base and height of the triangle, respectively.

The triangle's perimeter is equal to the product of its three sides.

This formula can be used to determine any triangle shape, including scalene, isosceles, and equilateral triangles. Remember that the base and height of a triangle are perpendicular to one another.

In the given question the original dimensions of the equal sides = 2.5 units.

The new dimensions of the equal sides = 5 units.

The dimensions here got doubled.

Therefore, when the dimensions of the triangle are doubled, the perimeter also gets doubled and the area of the triangle will increase four times.

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The total cost of the deal for the router for Tina is given by A = $ 1059.81

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total cost of the deal be represented as A

Let the initial price of the router be = $ 39.99

Now , the percentage of discount for the router = 15 %

So , the final cost of the router = ( 85/100 ) x 39.99

On simplifying , we get

The final cost of the router = $ 33.9915

Now , the number of months = 18 months

The contract rate = $ 56.99 per month

So , the total contract rate for 18 months = 18 x 56.99

The total contract rate for 18 months = $ 1,025.82

Now , total cost of the deal A = final cost of the router + total contract rate for 18 months

On simplifying the equation , we get

The total cost of the deal A = $ 1,025.82 + $ 33.9915

The total cost of the deal A = $ 1059.8115

The total cost of the deal A = $ 1059.81

Hence , the total cost of the deal is $ 1059.81

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The amount of money in account A is decreasing by 8% per year. Account B recorded a greater percentage change in amount of money over the previous year.

Amount is an indefinite quantity of something, usually money or a measurement of quantity. It is often used to describe the total amount of money received or spent in a particular instance or over a period of time.

The amount of money in account A is decreasing by 8% per year. This can be seen by looking at the 0.92 in the equation. This is the rate of decay, and represents a 8% decrease every year.

Part B: Account B recorded a greater percentage change in the amount of money over the previous year. Looking at the table, the amount of money decreased by 10.51%, 10.22%, and 11.94% in the first, second, and third years respectively. This is greater than the 8% decrease in account A.

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The correct answer is 4g. Spaghetti is a great source of fiber, with 4g per serving.

Fiber is a type of carbohydrate found in plant-based foods. It is not digested or absorbed by the body, but instead passes through the digestive system and out of the body. Fiber helps promote healthy digestion by adding bulk to the stool, helping it to pass through the intestines more quickly.

Fiber is an essential part of a healthy diet. It helps to keep your digestive system functioning properly, reduce cholesterol levels, and aid in weight management. It can be found in many plant-based foods, as well as some animal-based products. Spaghetti is a great source of fiber, with 4g per serving. This is a good amount for a meal, and it can help you meet your daily fiber needs. Eating a variety of foods that are high in fiber can help you stay healthy and reach your dietary goals. Getting enough fiber in your diet can also help reduce your risk of diabetes, heart disease, and stroke. So, the correct answer is 4g of fiber per serving of spaghetti.

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The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

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The probability that the sample proportion will be at most 2% more than the population proportion is approximately 0.7007.

The sample size is n = 197, and the population fraction of complaints resolved by the Better Business Bureau is 0.75. P(p 0.77), where p is the sample percentage, is the chance that the sample proportion is no more than 2% greater than the population proportion.

The distribution of the sample proportion can be approximated by the central limit theorem as having a mean of 0.75 and a standard deviation of sqrt[(0.75)(0.25)/197] = 0.038.

The sample proportion is then standardised as follows:

Z = (p - μ) / σ = (0.77 - 0.75) / 0.038 = 0.526

We are looking for P(Z 0.526). We can determine that P(Z 0.526) = 0.7007 by using a calculator or a conventional normal distribution table.

Hence, 0.7007 is around how likely it is that the sample proportion will be at most 2% higher than the population proportion.

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The measure of the angle for each letter found by finding the variables representing the angles simultaneously using circle theorems are;

a = 90°, b = 12°, c = 64°, d = 52°, e = 52°, f = 48°, g = 66°, h = 32°, i = 36°, j = 20°

A simultaneous equation consists of two or more equations that consists of the same variables.

The evaluation of the angles in the circle are presented as follows;

a + a = 180° (linear pair angles)

2·a = 180°

a = 180°/2 = 90°

a = 90°

The 32° angle indicates that the base angle of the large isosceles triangle is 2 × 32° = 64°

Angle c is a base angle of the isosceles triangle, therefore, we get;

c = 64°

Angle b + 90° + 78° = 180° (Angle sum property of a triangle)

b = 180° - (90° + 78°) = 12°

b = 12°

In the isosceles triangle with angle 2·b, and the isosceles triangle formed by the radii to the vertices, we get;

2·b + 2·b = f, therefore;

f = 2·b + 2·b = 4·b

f = 4·b

f = 4 × 12° = 48°

f = 48°

The measure of angle g is equivalent to the measure of a base angle of the isosceles triangle with the angle 2·b, with angle f = 48° being a vertex of the triangle, therefore;

g = (180° - 48°)/2 = 66°

g = 66°

Vertex angle of the cyclic quadrilateral with 5·b can be found as follows;

2·f + The vertex angle = 180°

Vertex angle = 180° - 2 × 48° = 84°

Vertex angle = 84°

5·b + 2·h + i + j = 180°

5 × 12 + 2·h + i + j = 180°

60° + 2·h + i + j = 180°

2·h + i + j = 180° - 60° = 120°

2·h + i + j = 120°...(1)

2 × 2·h + 2 × j = 2 × 84°

2·h + j = 84°...(2)

2·f + 5·b + i + 168° = 360°

i = 360° - 2·f + 5·b + 168°

i = 360 - (96 + 60 + 168) = 36

2·h + i + j - (2·h + j) = 120° - 84° = 36°

i = 36°

5·b + 2·h + 2·f + i + j + 84° = 360°

60° + 2·h + 96° + 36° + j + 84° = 360°

2·h + j = 360° - 84° - 36° - 60° - 96°  = 84°

2·h + j = 84°

The two tangent theorem indicates that we get;

90° - 64° = 26°

180° - 2 × 26° = 128°

h = (180° - 128°/2)/2 - 26° = 32°

h = 32°

2·h + j = 84°

j = 84° - 2·h

j = 84° - 2 × 32° = 20°

j = 20°

d = e (Angles subtended by the same chord)

2·c + d = 180°

2 × 64° + d = 180°

d = 180° - 2 × 64° = 52°

d = 52° = e

e = 52°

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$800 - $600 - $85 = $115

∴ Mr Sato has $115 left.

Answer:

172

Step-by-step explanation:

take $800 subtract $600 and then subtract $85

The requried value of (25-y) half dollars is 12.5 - 0.5y dollars.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
Assuming you want to find the value of a certain number of half-dollars when each half-dollar has a value of 50 cents, we can use the following formula:

Value = Number of coins x Value of each coin

Here, the number of half-dollars is (25-y), and the value of each half-dollar is 50 cents or $0.5. So, we can write:

Value of (25-y) half dollars = (25-y) x 0.5

Value of (25-y) half dollars = 12.5 - 0.5y

Therefore, the value of (25-y) half dollars is 12.5 - 0.5y dollars.

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The value of x, given the triangle and the sides, would be 21. 67 units .

We are given the hypotenuse of the triangle and the length of the side that is adjacent to the angle given.

This means that the value of x would be found by the operation of Cos. The value of x can be found to be :

Cos ( 37 degrees ) = 17. 3 / x

x × Cos ( 37 degrees ) = 17. 3

x =  17. 3 / Cos ( 37 degrees )

x = 17. 3 / 0. 7986355

x = 21. 67 units

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No, it is not possible for Mario to have drawn this figure.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

If two tangents to a circle meet at a point outside the circle, they must be parallel to each other.

If the two points where the two tangents meet the circle separate the circle into two semicircles, then the center of the circle must lie on the line containing the two points.

However, since the tangents are parallel, they do not intersect the line containing the two points, and therefore, the center of the circle cannot lie on this line.

This contradicts the definition of a circle, which states that the center of a circle is equidistant from all points on the circle.

Therefore, Mario's reasoning is flawed, and it is not possible for him to have drawn this figure.

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Answer:

it's 48 I think that's the answer for the question.

According to the given information, Jeremy is saving approximately $20.56 per week for his new tires.

What is basic arithmetic?

Basic arithmetic refers to the fundamental operations of arithmetic, which include addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers, such as counting, computing sums, finding differences, calculating products, and determining quotients.

We can use this information to find Jeremy's weekly savings rate.

To find the weekly savings rate, we need to first find out how much Jeremy saves in a week.

For the first month, which is four weeks, Jeremy saves $230.

For the next three months, which is 12 weeks, he saves an additional $329 - $230 = $99.

Therefore, in total, Jeremy saves $230 + $99 = $329 in 16 weeks.

His weekly savings rate is then:

$329 / 16 weeks = $20.56 per week (rounded to the nearest cent)

So, Jeremy is saving approximately $20.56 per week for his new tires.

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The annuity is $2800 and interest is $800.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, P= $2000 at the end of each year, R= 3.5% compounded annually and time = 10 years

Amount = 2000(1+3.5/100)¹⁰

= 2000(1+0.035)¹⁰

= 2000(1.035)¹⁰

= 2000×1.4

= $2800

Interest = 2800-2000

= $800

Therefore, the annuity is $2800 and interest is $800.

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Answer:

c

Step-by-step explanation:

2 x 2=4

2 x 2 =4
2 x 2 = 4

4 ^3 = 64

48 x 3 =192
Or:
192/2 = 96
96/2=48
48/2 = 24

24/2= 12
12/3=4

4/2=2
2 x 2 x 2 x 2 x 2 x 2 x 3

Answer:

  c.  need more information

Step-by-step explanation:

You want M, given that ∑X = 4390 and n=4.

Two expressions for different variables are given, but there is no given relationship between them or to the variable of interest: M.

You need more information.

The values of the limits of g(x) as x approaches 33 minus and 33 plus can be determined by examining the table of values and looking for the values of g(x) as x gets closer and closer to 33 from the left and the right sides.

As x approaches 33 from the left (i.e., values of x slightly less than 33), we can see from the table that the values of g(x) decrease from -7 to -16. Therefore, the limit of g(x) as x approaches 33 from the left is -16.

As x approaches 33 from the right (i.e., values of x slightly greater than 33), we can see from the table that the values of g(x) increase from -6.1 to -7. Therefore, the limit of g(x) as x approaches 33 from the right is -7.

Therefore, the correct answer is:

Limit of g(x) = negative 16 as x approaches 33 minus and limit of g(x) = negative 7 as x approaches 33 plus.

The statements are true by following the principles of congruency.

What are congruent triangles and their property?

Two  harmonious triangles have identical areas and  peripheries. Each of a triangle's sides and angles is an exact match to its  harmonious triangle's corresponding sides and angles. We can  use five different  parcels to show that any two triangles are  harmonious SSS, SAS, AAS, ASA, and RHS.  

The SAS criterion stands for the Side- Angle- Side criterion. This standard  countries that two triangles are  harmonious if they've matching sides and included angles on  contrary sides of each other.

Side- Side- Side criterion is appertained to as the SSS criterion. According to this standard, two triangles are  harmonious if their  separate triangles' three sides are equal to one another.

1. In the first figure,

KL = LN [L is the mid - point]

ML = LP [L is the mid - point which bisects it]

∠MLK = ∠ NLP [Vertically opposite angle]

By Angle side Angle property, both the triangles are congruent

2. In the given figure,

∠ABD = ∠CBD [As BD bisects the angle ABC]

BD = BD [Common side]

∠BAD = ∠BCD [As triangles ΔBAD ≅ ΔBCD]

By Angle - side - angle property, ΔABD ≅ ΔCBD

3. Given,

QS = SU [S is the midpoint]

QR ≅ ST [Given]

RS ≅ TU [Given]

By Side - Side - Side property, ΔQRS ≅ ΔSTU

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Answer:

The total number of apples is 550

Step-by-step explanation:

12% - Turn into a fraction of 12/100

12/100

X = total number of apples

*Make another fraction of x the denominator and the 66 that are in good condition as the numerator*

12/100 = 66/X

Cross multiply

12 * X = 12x

66 * 100 = 6600

Divide

6600/12 = 12x/12 - cancel

6600/12= 550

X = 550

Answer:

Below

Step-by-step explanation:

the difference of 1.02 and 0.98  :

   (1.02 - 0.98)

2 times as much :

2 * ( 1.02-0.98)

Answer:

2(1.02-.98)

Step-by-step explanation:

The intercepts are (0, 0), (-π, 0) and (π, 0)

The intercepts

The intercepts of a graph are the points where the graph intersects the x-axis (horizontal axis) and the y-axis (vertical axis).

From the given graph, we have the intercepts to be

(0, 0), (-π, 0) and (π, 0)

The domain and the range

The domain of a graph refers to the set of all possible input values, while the range refers to the set of all possible output values.

Using the above definition as a guide, we have

Domain = (-∝, ∝)

Range = [-2, 2]

The increasing and the decreasing interval

From the graph, we can see that the y values decrease from x = -π till x = -π/2 and also decrease from x = π/2 till x = π

Also, it increase from -π/2 till π/2

These are the increasing and the decreasing intervals

The function type

Based on the appearance of the graph, the function is an odd function

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The values of the missing sides are;

1. q = 4. 1, p = 11. 3

2. y = 56. 6, x = 35. 6

3. b = 16. 7, a = 9.1

Using the sine and cosine identities, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

We have that;

sin 20 = q/12

find the values

q = 4. 1

Also

cos 20 = p/12

p = 11. 3

For the second triangle

cos 39 = 44/y

cross multiply

y = 44/0. 7777

y = 56. 6

Also,

sin 39 = x/56.6

x = 35. 6

For the third triangle

sin 57 = 14/b

cross multiply

b = 16. 7

Also,

cos 57 = a/16. 7

cross multiply

a = 9. 1

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