A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost
$15.05. Unfortunately, she bredks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?

Answer:

Each drink costs $1.50

Step-by-step explanation:

Let d = the cost of a drink

6(4.50) + 2d = 5(4.5) + 5d  Distribute the 6 and 5

27 + 2d = 22.50 + 5d  Subtract 2d from both sides

27 + 2d - 2d = 22.50 + 5d - 2d

27 = 22.50 + 3d  Subtract 22.50 from both sides

4.5 = 3d  Divide both sides by 3

1.50 = d                    

The lower bound for the perimeter of the rectangle when the length is 87. 3cm and the width is 51. 8cm is 278.24 cm.

Lower bound is the minimum valued number that have been before it was rounded to the nearest. As per the query, we need to find the perimeter of the rectangle whose length is 87.3 cm while its width is 51.8cm. The perimeter of a rectangle is given by the formula:

=2 (l + b)

=2 (87.3 + 51.8)

=2 (139.1)

=278.2 cm

Therefore, the perimeter of the rectangle, when the length is 87. 3cm and the width is 51. 8cm is, 278.2 cm.

We need to assume the lower bound value for this value. We can assume that 278.2 may have been 278.24cm before it was rounded to the nearest value, i.e., 278.2cm. Thus, the lower bound for the perimeter of the rectangle when the length is 87. 3cm and the width is 51. 8cm is 278.24 cm.

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The type of measurement scale which the professor employed is an ordinal scale.

We can rate people or things using an ordinal scale without explaining the meaning of the distinctions between the ranks. The second level of measurement, known as the ordinal scale, conveys data ranking and ordering without assessing the degree of variation between them.

The data in the given case is the names of the subjects namely science, mathematics, and management, which is definitely qualitative data. Next, it must be determined whether the data is at the nominal level or the ordinal level. Data at the nominal level cannot be ordered, however, data at the ordinal level can be. The professor is developing a relationship between the subjects by placing them in order since he is able to rank them according to the preferences of the pupils. Thus, he is using an ordinal scale.

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To describe a linear program for finding the largest axis-aligned square that lies entirely inside a polygon (p), we can define the decision variables, objective function, and constraints as follows:

Decision Variables:

Let x be the side length of the square.

Objective Function:

Maximize x. The objective is to find the largest possible side length for the square.

Constraints:

Square Within Polygon Constraint:

For each vertex (xᵢ, yᵢ) of the polygon p, we can define the following set of inequalities:

xᵢ ≤ x, for all vertices of the polygon.

These inequalities ensure that the square lies entirely within the polygon.

Square Symmetry Constraint:

To ensure that the square is axis-aligned, we can impose symmetry constraints. For example, if the coordinates of the center of the square are (c_x, c_y), then we can add the following constraints:

c_x ± (x/2) = constant, for fixed values of c_x.

c_y ± (x/2) = constant, for fixed values of c_y.

These constraints ensure that the sides of the square are parallel to the x and y axes.

Non-Negative Constraint:

x ≥ 0, to ensure a non-negative side length for the square.

By formulating and solving this linear program, we can find the optimal value for x, which represents the largest axis-aligned square that lies entirely within the given polygon p.

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Answer:

A.

Step-by-step explanation:

the line that's PR is longer than OR

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

This means the height would be 9.57 inches.

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Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

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Answer:

AC = 15

Step-by-step explanation:

Point B is on line segment AC .

Given

AB=3x

BC=4x+8,

AC=5x+10

determine the numerical length of AC

                 3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

3x + 4X + 8 = 5X + 10

combine like terms:

3x + 4x - 5x = 10 - 8

simplify:

2x = 2

x = 2 / 2

x = 1

solve for AC

AC = 5x + 10

AC = 5(1) + 10

AC = 15

The numerical length of AC is 15 units.

It is required to find the numerical length of AC.

Length is defined as the measurement or extent of something from end to end.  The greater of two or the greatest of three dimensions of an object. It can be measured in different units like centimeters, inches, meters, etc.

Given:

AB=3x

BC=4x+8,

AC=5x+10

If B is on AC,

we can say:

AB + BC = AC

3X + 4X + 8 = 5X + 10

Combine like terms we get,

3x + 4x - 5x = 10 - 8

then simplify and get

2X = 2

X = 1.

Put the value of x in AC we get,

AC = 5X + 10

AC = 5*1+10

AC = 15

Therefore, the numerical length of AC is 15 units.

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Answer: 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

its easy

its easy

Answer:

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

Step-by-step explanation:

Brainliest?

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 17 and 17² = 289

9² + 12² = 81 + 144 = 225 ≠ 289

Then the triangle is not right

Step-by-step explanation:

the correct answer is option a 6a-7

After answering the given query, we can state that So, -6 is the figure equation we're searching for.

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

"x + 5" can be used to represent "five more than a particular number."

It is possible to express "four less than half that number" as "0.5x - 4".

Thus, the solution is:

x + 5 = 0.5x - 4

We can now determine x:

x + 5 = 0.5x - 4

Take 0.5x away from both sides:

0.5x + x + 5 = -4

combining similar words

1.5x + 5 = -4

Take 5 away from both ends.

1.5x = -9

1.5 divided by both sides gives x = -6.

So, -6 is the figure we're searching for.

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The correct statement regarding which expression results in an irrational number is given as follows:

1) II, only.

Hence only II is the irrational number in this problem, as it has the non-exact square root of 2.

For item 3, we have that the square root of 5 multiplies by itself, hence it is squared and the end result is the rational whole number 5.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

data set

center = ?

Step 02:

We must analyze the data sets to find the solution.

Data set A: 2, 3, 1, 4, 2, 0 , 0 ===> 4

Data set B: 6 , 4, 5, 6, 5, 7, 8, 7 ===> 6

Data set C: 1, 4, 0, 2, 4, 4, 6, 7 ===> 2

Data set D: 7, 8, 10, 11, 8, 9, 10, 9, 11 ===> 9

That is the full solution.

The fraction that is equivalent to the repeating decimal 0.35 is 7/20.

To determine the fraction that is equivalent to the repeating decimal 0.35, we can follow the steps below:

Step 1: Let x be equal to the repeating decimal 0.35.

Step 2: Multiply both sides of the equation in Step 1 by 100 to eliminate the decimal point:

   100x = 35.35

Step 3: Subtract the equation in Step 1 from the equation in Step 2 to eliminate the repeating decimal:

   100x - x = 35.35 - 0.35
          99x = 35

Step 4: Simplify the equation in Step 3 by dividing both sides by 99:

   x = 35/99

Step 5: Simplify the fraction 35/99 to reduced form by dividing both the numerator and denominator by their greatest common factor, which is 5:

   35/99 = (7 x 5)/(11 x 9 x 5) = 7/20

Therefore, the fraction that is equivalent to the repeating decimal 0.35 is 7/20.

To understand how we arrived at the fraction 7/20 as the equivalent of the repeating decimal 0.35, we need to have a basic understanding of decimals and fractions.

Decimals are a way of expressing parts of a whole in base 10. In a decimal number, the digits to the right of the decimal point represent fractions of 10, 100, 1000, and so on. For example, the decimal 0.35 represents 3/10 + 5/100, which can be simplified to 35/100.

On the other hand, fractions are a way of expressing parts of a whole in terms of a numerator and a denominator. The numerator represents the number of equal parts being considered, and the denominator represents the total number of equal parts that make up the whole. For example, the fraction 7/20 represents 7 parts out of 20 equal parts, or 7/20 of the whole.

Sometimes, a decimal number can be expressed as a fraction with integers as the numerator and denominator. These types of fractions are called rational numbers, and they can be expressed as terminating decimals or repeating decimals.

Terminating decimals are decimals that end, such as 0.5, 0.75, or 0.125. These decimals can be expressed as fractions with integers as the numerator and denominator by counting the number of decimal places and setting the denominator to a power of 10 that corresponds to that number. For example, 0.5 can be expressed as 5/10, which simplifies to 1/2.

Repeating decimals are decimals that have a pattern of one or more digits that repeat infinitely. For example, the decimal 0.333... has a repeating pattern of 3, and the decimal 0.142857142857... has a repeating pattern of 142857. These decimals can also be expressed as fractions with integers as the numerator and denominator.

To convert a repeating decimal to a fraction

We start by letting x be the repeating decimal, and we multiply both sides of the equation by 10, 100, 1000, or some other power of 10 to eliminate the decimal point. We then subtract the original equation from the new equation to eliminate the repeating decimal, and we simplify the resulting equation by dividing both sides by a common factor. The resulting fraction can then be simplified to reduced form by dividing both the numerator and denominator by their greatest common factor.

In the case of the repeating decimal 0.35, we followed these steps and arrived at the fraction 7/20 as the equivalent. This means that 0.35 and 7/20 represent the same value or amount. To verify this, we can convert 7/20 to a decimal by dividing 7 by 20, which gives 0.35.

Therefore, 0.35 and 7/20 are equivalent forms of the same value or amount.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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==========================================================

Explanation:

The stem and leaf plot shows we have the following data items

{56, 67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93, 94}

Cross off the outermost items.

So cross off the first and last items to get this smaller set

{67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93}

Repeat that process again

{67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92}

Repeat again

{69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90}

Do so another time. We keep going til we get 1 or 2 values

{72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88}

{74, 77, 77, 78, 81, 82, 82, 83, 84}

{77, 77, 78, 81, 82, 82, 83}

{77, 78, 81, 82, 82}

{78, 81, 82}

{81}

The last value is the median as it is in the very middle. So the median is 81.

-----------

Check out the attached image below to see the various items crossed off. Note the color coding to see how the terms pair up when crossed off. Only the 81 isn't crossed off showing it is the middle most value.

Answer:

x=22

Step-by-step explanation:

We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.

Hope this helps! :)

Answer:

Answer is 22

Step-by-step explanation:

38+6=44

44 ÷ 2= 22

:)

Answer:

26 gm

Step-by-step explanation:

Tin is   1   out of (9+1)   = 1/10 th

1/10th * 260 gm  =   26 gm

Using the formula T1/2 = 0.693/λ, we may determine decay from half-life.

The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay.

T1/2 = 0.693/λ describes the relationship between the half-life, T1/2, and the decay constant.

A percentage is used to represent the degradation rate.

Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.

The decay factor b = 1-r can therefore be calculated.

For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.

Nearly all decay processes that are exponential, or nearly exponential, are referred to by the phrase "half-life".

Therefore, using the formula T1/2 = 0.693/λ, we may determine decay from half-life.

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Answer: -3 is a rational number

Step-by-step explanation:

-3 is a rational number because it can be written as a fraction -3/1 and have the same value of -3. Therefore -3 is a rational number and Hannah is correct.

The type of function is an exponential function, since this is the form for it.

Answer:

I think the answer may be 0.05.

Step-by-step explanation:

This may be incorrect, but I hope it helps ^-^

Answer:

5/7 / 2/7 = 5/2 =2.5

Step-by-step explanation:

Hope this helps, please consider Brainliest (click on the crown).

For a. 10.2,

For b. 70,

For c. 0.15,

For d. 4,

For e. 13.02,

For f. 45.4

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

Answer:

Step-by-step explanation:

Step 1: Applying the BODMAS rule you will get the equation

33x-21=13x+25

33x-13x=25+21

20x=46

x=46/20

x=2.3

Hence this is your answer

The set of numbers from least to greatest is-

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

For the given numbers;

The given number are-

2/5, 5×10⁻², √3, 6%, 4/9, 2⁻¹.

These number can be written in the decimal form as;

Now arrange the number from least to greatest.

0.058, 0.06, 0.40, 0.44, 0.5, 1.73

Convert the number in given form.

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

Thus, the number represented in the ascending order are-

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

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