A=?cm
What is the total area of the tiles Felix needs to buy?

The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

A disparity is presented to us.

[tex]y+4\leq 0[/tex]

The answer to the inequality must be discovered.

For each side of the inequality, deduct 4

y +4 - 4 ≤ 0 - 4

y ≤ -4

y ∈ ( - ∞ , - 4 ]

As a result, the solution set for the given inequality is provided by y (- , - 4].

O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

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Answer:

the answer is A

[tex]x + 7 > 3[/tex]

2) y+ 3÷y is the equation that is not a polynomial. Using addition, subtraction, multiplication, and division of numbers .

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

An algebraic mathematical equation known as a polynomial might have two components. coefficients and parameters

You can combine the solutions to these algebraic equations to achieve the result.

It follows the general formula as follows:

a + a1 + a+ …

2)y+ 3y is the equation that deviates from the formula above.

So, 2)y+ 3y is the equation that is not a polynomial.

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The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .

The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.

Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.

In ever 4.5 pounds of nail defective nails are = 0.3 pounds

In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds

In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds

⇒ the defective nails in 350 pounds of nails= 105/4.5

⇒ the defective nails in 350 pounds of nails= 23.3 pounds

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If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.

The percentage increase in the number of dragons in Westeros rose = 15%

The total number of dragons in Westeros rose in previous year = 300

So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.

So, finding the value of 15% of 300

As we know, for removing the percentage sign we will divide the given number by 100

So, the value of 15% of 100 = (15/100)*300 = 45

So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345

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The correct question may be like:

If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?

Scale factor required to map the first line segment onto second line segment is 3/9=0.33

The scale factor is the ratio of the length of the image to the length of the pre-image.

In this case, we're looking for the  that would map the first line segment (length 9cm) onto the second line segment (length 3cm).

To find the scale factor, we can divide the length of the image by the length of the pre-image:

scale factor = length of image / length of pre-image

In this case:

[tex]ScaleFactor=\frac{Length Of Image}{Length Of Pre-image}[/tex]

[tex]scale factor = 3cm / 9cm = 1/3=0.033[/tex]

So the scale factor to map the first line segment onto the second line segment is 1/3.

It means the 1st line is 3 times longer than the second one.

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The Slope of log - log graph  represents the power of the relationship, and a straight line which indicates that there exists a definite power relationship .

What is Logarithm ?

The Logarithm is defined as  power to which a number must be raised to get some other number .

A log-log plot is the plot in which  both the x-axis  and y-axis use a log scale.

The plot of  logarithms of variables helps in extracting  the information about the power relationship. The case of  freely falling object is  used to illustrate a log - log plot.

A plot of the logarithm of freefall distance as a function of logarithm of time gives  a straight line of slope 2.

Therefore , The slope of log-log plot gives the power of relationship, and a straight line indicating that a definite power relationship exists.

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Point p is further from 0 than point q, and to the left of point q.

The correct option is D.

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

Points p and q are negative integers plotted on a number line.

And |p| > |q|.

That means,

The absolute value of p is greater than the absolute value of q.

|p| and |q| are the positive integers.

So, p < q.

So, the q is closer to zero.

And p is left to point q.

Therefore, the q is closer to zero and p is left to point q.

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Answer:

x = - √2/2

Step-by-step explanation:

We know that x = rcosθ and y = rsinθ. The unit circle always have radius of 1 unit. Therefore, r = 1 as defined. Hence:

x = cosθ, y = sinθ

x = cosθ, θ = arcsin(y)

x = cos{arcsin(-√2/2)}

Find the measurement or θ that makes sinθ = -√2/2 and that is π + π/4 = 5π/4.

x = cos(5π/4)

And cos(5π/4) = - √2/2 as well. Hence, x = - √2/2.

The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The sequence is given by the formula

nth term = a + (n - 1) * d

where a = first term

n = the term

d = common difference

In the problem, d = -2 and a = 8, because of this we have

= a + (n - 1) * d

= 8 + (n - 1) * -2

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solution of the linear equation is x = (2a - 16)/ 3 and y = - (a+16)/ 9

An algebraic expression that shows a relationship between two variables   that have only first order term. One of the main criteria for linear equation is that we get a straight line when plot this equation in a coordinate system.

.

we are given, two linear equations x - a -3y = 0

and a - 2x -3y - 16 =0

from the first equation, x = a + 3y

we put the value of x in the second equation, a - 2(a +3y) - 3y -16= 0

                                                                     a - 2a - 6y - 3y -16 = 0

                                                          - a - 9y -16 =0

                                                   - (a + 16) = 9y

                                              y = - (a+16) / 9

now we put the value of y in the equation, x = a + 3y

                                    get, x = a+ 3 [ - (a+16)] / 9

                                      x = a + [ - (a+16)] / 3

                                          x = (3a - a -16) / 3

                              x = (2a - 16)/ 3

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The solution of the set of equations: 6x - 2y = 8; 3x + 7y = 68  is (4,8)

The problem can be solved using elimination - substitution method.

Set of equations:

6x - 2y = 8   .... (equation 1)

3x + 7y = 68 ..... (equation 2)

Divide equation 1 by 2

3x - y = 4   ..... (equation 3)

Eliminate x by substracting equation 3 from equation 2:

3x + 7y = 68

3x   - y  = 4    _

      8y = 64

         y = 64/8

        y = 8

Substitute y = 8 into equation 3:

3x - 8 = 4

3x = 12

x = 12/3

x = 4

Hence, the solution is (4,8)

Your question is incomplete, but most probably your question was:

What is the solution for the following set of equations 6x - 2y = 8; 3x + 7y = 68 ?

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False. Using the unit rate of cost per pound, 5 pounds of apples cost $6.00.

Cost per pound = $12.00 / 8 pounds = $1.50

5 pounds of apples cost = 5 pounds x $1.50 = $7.50

The unit rate of cost per pound can be calculated by dividing the total cost of 8 pounds of apples by the total number of pounds. In this case, the unit rate of cost per pound is $1.50. This means that for every pound of apples, the cost is $1.50. To calculate the cost of 5 pounds of apples, we need to multiply the unit rate of cost per pound by the number of pounds. In this case, 5 pounds of apples cost $7.50, which is calculated by multiplying $1.50 by 5. Therefore, the statement that using the unit rate of cost per pound, 5 pounds of apples cost $7.50 is false.

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Answer:

15

Step-by-step explanation:

To find f(-3), substitute x with (-3)

f(x) = -x² - 8x

f(-3) = - (-3)² - 8*(-3)

      = - (9) + 24

       = - 9 + 24

       = 15

Answer:

15

Step-by-step explanation:

f ( x ) = - x² - 8x

Accordingly, to find the value of f ( -3 ) you have to replace x with ( - 3 ).

f ( -3 ) = - (-3)² - 8 × -3

f ( -3 ) = - 9 + 24

f ( -3 ) = 15

We can find the x-intercept by writing the equation in intercept form which  is also known as factored form, y= (x-p) (x-q) where p, q are the x-intercepts.

To find the vertex of the quadratic function we can write the function  in standard form , the vertex is located at the point where y=f (x).

A function which has a degree of two is known as a quadratic function.

Example, 3x² + 2 , here the maximum degree is 2 , hence the given function is quadratic. The general form of a quadratic equation is given as ,

f(x) = ax2 + bx + c .

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On solving the provided question, we can say that the mean that 6 tests including the last test brian took.

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate: Divide by how many digits there are after adding up all the digits. the total divided by the count.

(91n + 98) / (n + 1)  =  92

    91n + 98  =  92(n + 1)

 91n + 98  =  92n + 92

 98  =  n + 92

6  =  n

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The function which can which can define the number of flowers in the arrangement is f(x) = 64 + 18x. The domain is found to be [ 0 , 5 ] and the range is [ 64 , 154 ].

Let the number of flowers which is to be calculated be x,

now we know that she already have 64 flowers and that each arrangement will have 18 flowers.

Therefore, the number of flowers can be given by the function , f(x) = 64 + 18x.

Now , we know that the maximum number of flowers which she can buy externally is 5 , which means the domain becomes  [0,5] .

To find the range we will put the value of domain in the given function.

when x = 0 ,

f(0) = 64

when x = 5,

f(5) = 154

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Taking into account the definition of a system of linear equations, the length and width of the rectangle is 22.5 cm and 19.5 cm respectively.

Systems of linear equations are groupings of first degree equations with the same unknowns, of which a common solution must be found.

In the systems of equations, the values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

2x + 2y= 84

x= y + 3

The substitution method is a way to solve systems of equations. To use the substitution method, you choose an equation and find an expression for one of the variables in terms of the other variable. Then substitute that expression for the variable in the other equation.

In this case, substituting the second equation in the first one you get:

2×(y+3) + 2y= 84

Solving:

2y+ 2×3 + 2y= 84

2y+ 6 + 2y= 84

2y + 2y= 84 - 6

4y= 78

y= 78÷4

y= 19.5

Replacing this value in the second equation, you get:

x= 19.5 + 3

x= 22.5

Finally, the length of the rectangle is 22.5 cm and the width of the rectangle is 19.5 cm.

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Answer:

50x - 200y = 75

3x + y = -5

Step-by-step explanation:

Standard form of a line

Ax + By = C

0.5x +-2y -0.75  Multiply through by 100

50x - 200 - 75 = 0  Add 75 to both sides

50x - 200y = 75

y = -3x - 5  Add 3x to both sides

3x + y = -5

Answer:

(6, 5 )

Step-by-step explanation:

3x + 2y = 28 → (1)

5x - 3y = 15 → (2)

multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y

9x + 6y = 84 → (3)

10x - 6y = 30 → (4)

add (3) and (4) term by term to eliminate y

19x + 0 = 114

19x = 114 ( divide both sides by 19 )

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) + 2y = 28

18 + 2y = 28 ( subtract 18 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (6, 5 )

There are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.

A number system is defined as a system of writing to express numbers.

The factorial 4! is 24

Factorial value of 3!=6

Factorial value 2!=2

Factorial value 1!=1

4! x 3! x 2! x 1! =24×6×2×1=288

288 can be written as a product 2 and 144 which are perfect squares.

So 2 and 144 are the divisors of 4! x 3! x 2! x 1!

Hence, there are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.

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10.  This system has one solution with coordinates (1, -2)

11. This system has one solution with coordinates (0,-3)

12. This system has one solution with coordinates(-1, -2)

13. This system has no solution.

14. This system has no solution.

16.   This system has one solution with coordinates (0,-4)

According to question:-

10. y = x - 3 ------- 1

y = -5x + 3 ------- 2

substitute 1 in 2,

x - 3 = -5x + 3

x = 1

y = 1 - 3 = -2

y = -2

The co-ordinates is (1,-2)

11. y = -3

substitute in y = x-3

-3 = x - 3

x = 0

The co-ordinates is (0,-3)

12. y = 4x + 2 --------- 1

y = -2x - 4 ------------2

Substitute 1 in 2,

4x + 2 = -2x - 4

6x = -6

x = -1

substitute x = -1 in 2

y = -2

The co-ordinates is (-1, -2)

13. y = x - 6 -----1

y = x+ 2 -------2

It has no solution, so there is no co-ordinates.

14. x + y = 4

3x + 3y = 12

It has no solution, so there is no co-ordinates.

16. 2x + 3y = 12 ------1

2x - y = 4 --------2

from 2 we rewrite the equation as y = 2x-4

Sub in eq 1

2x + 3(2x-4) = 12

2x + 6x - 12 = 12

8x = 24

x = 3

y = 2

The co-ordinates is (3,2)

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When adding multi-digit numbers, it's a good idea to employ the commutative property. However, counting up becomes simpler if pupils are aware that they can change the order of the addends and begin adding with the larger number FIRST.

According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Here, a and b may be fractions, decimals, whole numbers, or even integers.

For instance, 1+2=2+1 and 2x3=3x2.

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Answer: 10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

The degree of the polynomial  [tex]2yA^2yA^32y^8[/tex] is 15

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2yA^2yA^32y^8[/tex]

The total sum of power is: 1+2+1+3+8=15

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The student is testing each soil's permeability, and soil X is more permeable than soil Y. The correct option is A.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

Porosity can be defined as the quality of the material having pores or holes. The permeability can be defined as the state or quality of a material that allows liquids or gases to pass through it.

The soil which does not hold much water can be considered of high porosity and high permeability. As it is only possible if the soil has a large number of pores and it is not in compact form.  

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Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.