Which of the following is the property that describes the steps giver
from Step 1 to Step 27
Step 1: 3x - 5 + 5 = 2x + 3 + 5
Step 2: 3x = 2x + 8
Addition Property
Distributive Property
Subtraction Property
Combine Like Terms

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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Answer:

it's 50

Step-by-step explanation:

hope this helps you !

Answer:

12.5 divided. By 0.25 is 50

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The covariance between the random variables x₁ and x₂, denoted as cov(x₁, x₂), is determined by the formula: cov(x₁, x₂) = E[(x₁ - E(x₁))(x₂ - E(x₂))].

However, in this case, we are asked to find cov(x₁, x₁), which represents the covariance of x₁ with itself. Covariance measures the extent to which two variables change together, so the covariance of a variable with itself is simply the variance of that variable. Therefore, cov(x₁, x₁) is equal to the variance of x₁, which is given as v(x₁) = 2. Covariance is a measure of how two random variables change together. The formula for covariance between two random variables x₁ and x₂ is given by cov(x₁, x₂) = E[(x₁ - E(x₁))(x₂ - E(x₂))], where E(x₁) and E(x₂) represent the means (expected values) of x₁ and x₂, respectively. However, in this case, we are interested in finding cov(x₁, x₁), which represents the covariance of x₁ with itself. Since we have only one random variable, x₁, we can calculate its covariance with itself as the variance of x₁, denoted as v(x₁). The variance, v(x₁), is defined as the expected value of the squared difference between x₁ and its mean, E(x₁). In this case, E(x₁) is given as 4, so we have v(x₁) = E[(x₁ - E(x₁))²] = E[(x₁ - 4)²]. We are also given that v(x₁) = 2, which means E[(x₁ - 4)²] = 2. Therefore, cov(x₁, x₁) is equal to the variance of x₁, which is given as v(x₁) = 2.

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Answer:

A coeffient is the first number at the beginning of a problem

Ex.

2Na+3H ---> 4O+5S

2 would be the coeffient of Na

3 would be the coeffient of H

4 would be the coeffient of O

5 would be the coeffient of S

Step-by-step explanation:

Answer:

Yes, the porch forms a right triangle as:

Explanation:

Here, we want to check if the porch is a right triangle

For the Porch to be a right triangle, Pythagoras' theorem must be obeyed

For Pythagoras' theorem, we have it that:

The square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the two other sides

In this particular example, 70 ft represents the hypotenuse

Thus, since:

We can conclude that the Porch forms a right triangle

Answer:

Step-by-step explanation:

You want the number such that twice the difference of the number and 3 is 4 more than the number.

  2(x -3) = x +4

  2x -6 = x +4 . . . . . eliminate parentheses

  x = 10 . . . . . . . . . add 6-x

The number is 10.

You want the number such that 3 times the number is twice the difference of the number and 1.

  3x = 2(x -1)

  3x = 2x -2 . . . . eliminate parentheses

  x = -2 . . . . . subtract 2x

The number is -2.

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

Solution:

Given:

To calculate the surface area of a rectangular prism, the formula below is used:

Substituting the given values into the formula:

Therefore, the correct answer is OPTION C.

Number of quarters and dime with Pam with the total value of $1.45 is equal to 4 and 4.5 respectively.

Let 'x' represents the number of quarters coins.

And 'y' represents the number of dimes coins.

Value of quarter and dime in dollars is :

1 quarter = $0.25

1 dime = $ 0.10

Total value of all the coins = $1.45

⇒ $0.25x + $0.10y = $1.45

⇒2.5x + y = 14.5

⇒y = 14.5 - 2.5x  __(1)

Number of coins < 9 coins

x + y < 9  

⇒ x < 9 - y  __(2)

Substitute the value of 'y' from (1) we get,

x < 9 - 14.5 + 2.5x

⇒2.5x - x > 14.5 - 9

⇒1.5x > 5.5

⇒ x > 5.5./1.5

⇒ x > 3.7

⇒ x = 4 ( next possible integer)

⇒ y = 14.5 -2.5(4)

⇒y  = 4.5

⇒ y = 4.5

Therefore, the number of quarters and dime with Pam is equal to 4 and 4.5 respectively.

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The monthly payment if the interest rate was 11% will be $45.63.

The remaining amount is calculated as,

P = (1 - 0.20) x $925

P = 0.80 x $925

P = $740

The monthly payment is calculated as,

MP = [$740 + ($740 x 0.11)] / 18

MP = $821.4 / 18

MP = $45.63

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The monthly payment is $49.69.

We have,

The amount of the down payment is:

0.20 x $925 = $185

So the amount financed is:

$925 - $185 = $740

Using the formula for the monthly payment on a loan:

= (Pr(1+r)^n) / ((1+r)^n - 1)

where:

P = principal or amount financed = $740

r = monthly interest rate = 11%/12 = 0.0091667

n = total number of payments = 18

Plugging in the values, we get:

Monthly payment

= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)

= $49.69 (rounded to the nearest cent)

Therefore,

The monthly payment is $49.69.

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Answer:

We conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

Step-by-step explanation:

We know that the initial value on a graph is basically the out-put value y of the point where the line meets or crosses the y-axis.

In other words, the initial value is the y-value or output of the point at x = 0

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the initial value of the equation y = 2x+1 is: y = 1

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Thus, at y = 1, the line meets the y-axis.

Hence, the initial value of the line is: y = 1

Similarly, we know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the y-intercept of y = 2x+1 is y = 1.

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Therefore, the y-intercept of y = 2x+1 is y = 1.

Conclusion:

Therefore, we conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

Answer: 3.5

Step-by-step explanation:

11% is the approximate percentage of workers who are not protected by unions.

Rather than being stated as a fraction, a percentage is a piece of a total expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent, and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

In essence, percentages are fractions with 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage.

One-tenth of anything is one percent. Therefore, it may be expressed as a fraction as well as a decimal.

Given that,

there are about 127 million workers in the u.s.

among them 14.4 million workers belong to unions

Now, workers belong to the united states = (127 - 14.4) = 112.6 million

So, number of people protected by unions = (112.6 / 127) × 100 = 88.66%

Now,  the approximate percentage of workers who are not protected by unions: (100 - 88.66) = 11.33% ≈ 11%

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Answer:

5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes

Step-by-step explanation:

for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee.  5*.4=2 +3.2=5.2      10*.4=4 +3.2=7.2

For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.

The value of the expression c^(2)-5c+2 when c = 3 is -4.

Evaluating a quadratic expression involves substituting the given value of the variable into the expression and simplifying. In this case, we are given that c=3 and the expression is c^(2)-5c+2. We will substitute 3 in for c and simplify.

Step 1: Substitute 3 in for c: (3)^(2)-5(3)+2
Step 2: Simplify the expression: 9-15+2
Step 3: Combine like terms: -4

Therefore, the value of the expression when c=3 is -4.

A quadratic term is any expression that has in its unknowns (in which letters are used) one that is squared (or two), these terms are part of a quadratic function.

For a term to be quadratic it must be multiplied by itself (twice), for example:

a² + a + 1

We can see that it is a quadratic function and that its literal term is a while the quadratic term is a², i.e. a*a.

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Numerical integration is a numerical analysis technique for calculating the approximate numerical value of a definite integral.

In general, integrals can be either indefinite integrals or definite integrals. A definite integral is an integral with limits of integration, while an indefinite integral is an integral without limits of integration.A numerical integration formula is an algorithm that calculates the approximate numerical value of a definite integral. Numerical integration is based on the approximation of the integrand using a numerical quadrature formula.

The numerical quadrature formula is used to approximate the value of the integral by breaking it up into small parts and summing the parts together.Equations for the calculation of integration by trapezoidal rule (1/2)h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h= Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes. The basic principle is to replace the integral by a simple sum that can be calculated numerically. This is done by partitioning the interval of integration into subintervals, approximating the integrand on each subinterval by an interpolating polynomial, and then evaluating the integral of each polynomial.

Based on the given table of unequally spaced data, we are to calculate the approximate numerical value of the definite integral. To do this, we will use the integration formula as given by the trapezoidal rule which is 1/2 h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h = Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes.  The table can be represented as follows:x            0.1 0.3 0.5 0.7 0.95 1.2f(x)      1 0.9048 0.7408 0.6065 0.4966 0.3867 0.3012Let Δx = 0.1 + 0.2 + 0.2 + 0.25 + 0.25 = 1, and n = 5Substituting into the integration formula, we have; 1/2[1(1)+2(0.9048+0.7408+0.6065+0.4966)+0.3867]1/2[1 + 2.3037+ 1.5136+ 1.1932 + 0.3867]1/2[6.3972]= 3.1986 (to 4 decimal places)

Therefore, the approximate numerical value of the definite integral is 3.1986.

The approximate numerical value of a definite integral can be calculated using numerical integration formulas such as the trapezoidal rule. The trapezoidal rule can be used to calculate the approximate numerical value of a definite integral of an unequally spaced table of data.

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Answer:

-3

Step-by-step explanation:

5(y+2/5)=-13

5*y+5*2/5=-3

5y+2=-13

5y=-13-2

5y=-15

5y/5=-15/5

y=-3

Answer:

y = -3

Step-by-step explanation:

Now we have to,

→ Find the required value of y.

The equation is,

→ 5(y + (2/5)) = -13

Then the value of y will be,

→ 5(y + (2/5)) = -13

→ 5(y) + 5(2/5) = -13

→ 5y + (10/5) = -13

→ 5y + 2 = -13

→ 5y = -13 - 2

→ 5y = -15

→ y = (-15)/5

→ [ y = -3 ]

Hence, the value of y is -3.

Answer:

x > 6

Step-by-step explanation:

\(x + 3 - 5 > 4 \\ \\ x - 2 > 4 \\ \\ x > 4 + 2 \\ \\ x > 6 \\ \)

Using permutations and combinations,

a. 9P4 = 3,024

b. 12C7 = 792

c. (8, 4) = 70

d. 6P6 = 6

e. 6C6 = 1

f. 6P1 = 720

a. 9P4 (permutation):

9P4 = 9! / (9 - 4)!

= 9! / 5!

= (9 × 8 × 7 × 6 × 5!) / 5!

= 9 × 8 × 7 × 6

= 3,024

b. 12C7 (combination):

12C7 = 12! / (7! × (12 - 7)!)

= 12! / (7! × 5!)

= (12 × 11 × 10 × 9 × 8 × 7!) / (7! × 5!)

= 792

c. (8, 4) (combination):

(8, 4) = 8! / (4! × (8 - 4)!)

= 8! / (4! × 4!)

= (8 × 7 × 6 × 5!) / (4! × 4!)

= 70

d. 6P6 (permutation):

6P6 = 6! / (6 - 6)!

= 6! / 0!

= 6!

e. 6C6 (combination):

6C6 = 6! / (6! × (6 - 6)!)

= 6! / (6! × 0!)

= 1

f. 6P1 (permutation):

6P1 = 6! / (6 - 1)!

= 6! / 5!

= 6 × 5 × 4 × 3 × 2 × 1

= 720

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Answer:

The first answer is 4 and so is the next box. The last one is 10.

Step-by-step explanation:Use your formula. It gave you y=x-3, so every Y point in the able will be 3 less than its corresponding x point.

Plug in the given values for either x or y and solve for the other.

When x = 7 , y = ?

Plug in 7 for x in the given equation:

y = x - 3

y = 7 - 3

y = 4

When x = 7, y = 4

When x = ? , y = 1

Plug in 1 for y in the given equation:

1 = x - 3

1 (+3) = x - 3 (+3)

x = 1 + 3

x = 4

When x = 4, y = 1

When x = ? , y = 7

Plug in 7 for y in the given equation:

7 = x - 3

7 (+3) = x - 3 (+3)

x = 7 + 3

x = 10

When x = 10, y = 7

~

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

Answer:

2 3/4.

Step-by-step explanation:

Eliminate 1/2 from the side with w.

Subtract 1/2 from both sides:

\(3\frac{1}{4} -\frac{1}{2} =\frac{1}{2} -\frac{1}{2} +w\)

\(2\frac{3}{4} = w\)

Step-by-step explanation:

..............

=> 3x + 4y = 12

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

k stands for 1000

Answer:

Solution given:

12.2k - 4.000

12.2×1000-4.000

=12196 is your answer.

Answer:

No he's too poor

Step-by-step explanation:

Answer:

10  yd

Step-by-step explanation:

Answer:

(x^6y^2)/(8)

Step-by-step explanation:

this is wrong smh my bad just mark other person brainliest

but yeah its (3x^6y^2)/(8)

3x↑6y↑2

------------

     8

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