how many sundays in a year

An equation for each situation in terms of x include the following:

A = 3x + 65

B = 2x + 100

The number of miles driven that would make the cost of each company the same is $35.

Based on the information provided above, Company A charges an initial fee of $65 for the rental plus $3 per mile driven. Therefore, the total cost, A, can be represented by this equation:

A = 3x + 65

Since Company B charges an initial fee of $100 for the rental plus $2 per mile driven. Therefore, the total cost, A, can be represented by this equation:

B = 2x + 100

For the cost of each company to be the same, we have the following:

3x + 65 = 2x + 100

3x - 2x = 100 - 65

x = $35.

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Answer:

3. $1664.99

Step-by-step explanation:

1) the area of triangle is

a = 14

b = 19 + 33 - 28 = 24

S = 24 * 14 * 1/2 = 168 ft^2

2) the are of rectangle between the biggest rectangle and triangle is

a = 28 - 19 = 9

b = 14

S = 14 * 9 = 126 ft^2

3) the area of rectangle is

19 * 37 = 703 ft^2

4) the sum of all areas is

703 + 126 + 168 = 997

5) the wax will cost

997 * 1.67 = 1664.99

In this case, we subtracted 7.5 kg from 4.5 kg and obtained a result of -3 kg.

Subtraction is a mathematical operation that involves taking one number away from another. It can be represented using the "-" symbol, and the number to the left of the symbol is called the minuend, while the number to the right is called the subtrahend.

In this case, we have 4.5 kg as the minuend and 7.5 kg as the subtrahend, which means that we need to take away 7.5 kg from 4.5 kg.

To perform the subtraction, we start by aligning the digits of both numbers in columns according to their place values (i.e., ones, tens, hundreds, etc.).

Since both numbers have the same unit of measurement (kg), we do not need to perform any conversions.

We then begin subtracting the digits in the subtrahend from the corresponding digits in the minuend, starting from the rightmost column and working our way leftwards.

So, it can be written as,

=> 4.5 - 7.5 =  -3 kg.

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As a result, the equation ((2w + 9) + ((4 - 3w) = 0) has no answer.

The term "radical" is used to represent the square root or nth elements. Expression with a square base is referred to as a radical expression. Radicand: A value or phrase contained within the radical sign. Equation with radical formulas and factors as radicands is referred to as a radical equation.

√(2w + 9) + √(4 - 3w) = 0

We need to isolate the variable w.

First, we can move the second term to the other side of the equation by subtracting it from both sides:

√(2w + 9) = -√(4 - 3w)

Next, we can square both sides of the equation to eliminate the square roots:

(√(2w + 9))^2 = (-√(4 - 3w))^2

2w + 9 = 4 - 3w

Now, we can simplify and solve for w:

5w = -5

w = -1

In this case, when w = -1, both square roots are defined, and we can substitute this value back into the original equation to verify:

√(2(-1) + 9) + √(4 - 3(-1)) = √7 + √7 = 2√7

Since 2√7 is not equal to 0, our solution is not valid.

Therefore, there is no solution to the equation √(2w + 9) + √(4 - 3w) = 0.

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Measures of the variation of distribution are variance, standard deviation, range, interquartile range, and coefficient of variation.

Measures of the variation of distribution are used to quantify the spread or dispersion of the data points in the distribution.

The variance is a measure of the variation of distribution that represents how spread out the data points in a distribution are from the mean.

A higher variance indicates that the data points are more spread out, while a lower variance indicates that they are more tightly clustered around the mean.

The variance is useful when the data is normally distributed and there are no extreme outliers in the dataset.

Standard deviation is a measure that shows how the spread or dispersion of a set of data points from the mean.

The standard deviation can tell us how tightly or loosely the data points are clustered around the mean. A smaller standard deviation indicates that the data points are tightly clustered, while a larger standard deviation indicates that the data points are more spread out.

The standard deviation is useful when the data is normally distributed and there are no extreme outliers in the dataset.

Some of the measures of the variation of distribution are Range, Interquartile range, Coefficient of variation, etc.  

Therefore,

Measures of the variation of distribution are variance, standard deviation, range, interquartile range, and coefficient of variation.

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The value of 107 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 235.895 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 107 x 2.20462262184878

= 235.895 pounds or lbs.

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The conversion of 27cm to inch is 10.63 inches.

A centimeter is a metric unit of measurement equal to one-hundredth of a meter. It is commonly used in many countries for measuring small distances, such as the length of an object or the height of a person. One centimeter is equal to 0.3937 inches.

To convert 27 centimeters to inches, we can use the following formula:

1 inch = 2.54 centimeters

Therefore, to convert 27 centimeters to inches, we can divide 27 by 2.54:

27 cm ÷ 2.54 = 10.63 inches (rounded to two decimal places)

So, 27 centimeters is approximately equal to 10.63 inches.

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The safe debt load is $352 - $704

The general rule of thumb, a debt/income ratio of 10% or less is outstanding. If it's between 10 - 20%, your credit is good, and you can probably borrow more. But once you hit 20% or above, it's time to take a serious look at your debt load.

This means that safe debit load is the maximum debt a person or an organization can owe.

It ranges from 10% to 20%

10/100 × 3525 = $352.5

20/100 × 352.5 = $704

This means that any debt that will take more than $704 from Riley's earnings is no more a safe debt load.

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Answer:

X=22 because of the symmetrical angle so 158+158=316 and one full angle = 360 then 360-316=44 and there are two sides so 44÷2=22

The expected number of visits to the course website.visits(x) 0 1 23probability 0.35.

Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can be expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.

Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.

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The +equation represents exponential growth

What is the exponential functions?

An exponential function is a mathematical function that has the form f(x) = a*b^x, where a and b are constants, and x is the independent variable.

The equation y = 80(1.3)^x represents exponential growth.

In this equation, "y" represents the value of the function at a given time or input, "x" represents the time or input, and "1.3" is the growth factor, which is greater than 1.

As "x" increases, the value of the function "y" grows at an increasing rate. This is because the growth factor is greater than 1, which means that each input value results in a larger output value than the previous one.

Hence, this equation represents exponential growth.

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If 50% of the machines at Bud's Suds are washing machines and there are 10 washing machines, then the total number of machines is:

10 / 0.5 = 20

So there are 20 machines in total at Bud's Suds.

The runner's rate in miles per hour is D * 4/3 miles per hour.

Distance is a measure of the physical space between two objects or points. It is the length of the shortest path between two points in space. Distance can be measured in different units, such as meters, kilometers, miles, feet, or inches, depending on the scale of the objects or the purpose of the measurement.

In geometry, the distance between two points in a Euclidean space can be calculated using the Pythagorean theorem or the distance formula. The distance formula is expressed as:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where d is the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane. This formula can be extended to three dimensions by adding a third term to the equation.

Distance can also be calculated using other methods, such as GPS (Global Positioning System) or by measuring the time it takes for an object to travel from one point to another, using the speed of light or sound.

In everyday life, distance is a fundamental concept used in various contexts, such as navigation, transportation, sports, and communication. It plays a significant role in determining the time and effort required to travel between two points and is often used as a basis for making decisions.

We can use the formula:

rate = distance / time

where distance is the distance traveled by the runner and time is the time taken to travel that distance.

Given that the runner travels 2/3 of the marathon distance in 10 minutes, we can find the total distance of the marathon by dividing the distance traveled by 2/3:

total distance = distance traveled / (2/3) = distance traveled * 3/2

Let's denote the total distance of the marathon as D. Then:

D = distance traveled * 3/2

distance traveled = D * 2/3

We know that the time taken to travel 2/3 of the distance is 10 minutes. Let's convert this to hours:

10 minutes = 10/60 hours = 1/6 hours

Now we can calculate the runner's rate:

rate = distance / time = (D * 2/3) / (1/6) = (D * 4/3) / 1 = D * 4/3

So the runner's rate in miles per hour is D * 4/3 miles per hour.

Note that we don't have a specific value for the total distance D of the marathon, so we cannot give a numerical answer. We can only express the runner's rate in terms of D as:

runner's rate = D * 4/3 miles per hour

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9/16 as a decimal is 0.5625.

A decimal number is a number that is written in the base-ten numeral system, which is the system we use in everyday life. In the decimal system, there are ten digits, from 0 to 9, and each digit has a place value that is ten times greater than the digit to its right.

To convert the fraction 9/16 to a decimal, you can divide the numerator (the top number) by the denominator (the bottom number) using long division or a calculator. Here's how to do it:

Write down the fraction 9/16.

Divide the numerator (9) by the denominator (16).

The quotient is the decimal equivalent of the fraction. In this case, the quotient is 0.5625.

Write the decimal as 0.5625.

Therefore, 9/16 is 0.5625.

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Yes, it is possible to have a scatter plot that shows a positive association that is not linear.

What is the scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

In a scatter plot, a positive association means that as the values of one variable increase, the values of the other variable tend to increase as well.

However, the relationship between the variables does not have to be linear.

In other words, the pattern of points on the plot does not have to form a straight line.

For example, the relationship between two variables could be curved, such as a quadratic relationship where the increase in one variable initially leads to larger increases in the other variable, but at higher levels of the first variable, the increase in the second variable begins to level off.

Alternatively, the relationship could be exponential, where the increase in one variable leads to an exponential increase in the other variable.

In both cases, the pattern of points on the scatter plot would show a positive association, but not a linear one.

Therefore, it is true that scatter plot that shows a positive association is not linear.

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In reference to the question given, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.

To find the mean absolute deviation of a set of numbers, we first need to calculate the deviations of each number from the mean of the set, then take the absolute value of each deviation, and finally calculate the average of all the absolute deviations.

To find the mean of the set {6, 8, 8, 12, 16}, we first need to calculate the mean:

mean = (6 + 8 + 8 + 12 + 16) / 5 = 10

Next, we calculate the deviations of each number from the mean:

|6 - 10| = 4

|8 - 10| = 2

|8 - 10| = 2

|12 - 10| = 2

|16 - 10| = 6

Taking the absolute value of each deviation gives us:

4, 2, 2, 2, 6

Finally, we calculate the mean of these absolute deviations:

mean absolute deviation = (4 + 2 + 2 + 2 + 6) / 5 = 2.4

Therefore, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.

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The value of x in the given equilateral triangle is 14.

An equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle.

Given is an equilateral triangle, one of its angle is given to be (2x+32)°,

We know that, the value of each angle of an equilateral triangle is 60°

Therefore,

(2x+32)° = 60°

2x = 28

x = 14

Hence, the value of x in the given equilateral triangle is 14.

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Since, the question is incomplete, the question is solved for the question attached.

Answer:

$25

Step-by-step explanation:

Let's first subtract the savings account

87.80 - 37.80 = $50

Which means after 10 weeks, she saves $50

$50/10weeks = $5/1 week

Now they save 20% of the route. Which means $5 is 20% of the route.

To get to 100% we multiply 20% by 5.

That means we multiply the $5 by 5 also, giving us $25.

The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.

The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.

For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.

The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.

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The operations to create a dot plot includes A,C and D.

What Exactly Is a Dot Plot?

A dot plot, also known as a strip plot or dot chart, is a simple type of data visualisation in which data points are represented as dots on a graph with x and y axes. These charts are used to graphically represent certain data patterns or groups. The most well-known dot plot is perhaps the Federal Reserve's quarterly interest rate predictions.

Now,

As  A dot plot is made up of data points that are represented as dots on a graph with an x- and y-axis. Dot plots are often set up with one axis representing the range of values or categories along which the data points are categorised and a second axis representing the number of data points in each category.

Hence,

          The operations to create a dot plot includes A,C and D.

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Answer:

18. Two real solutions

Step-by-step explanation:

Q 18

For a quadratic equation in standard form i.e. ax² + bx + c = 0

the discriminant is given by b² - 4ac

If the discriminant is 0, there is one real solution

If the discriminant is positive, there are two real solutions

If the discriminant is negative , there no real solutions

The given equation is:
x² - 8x = -14

Adding 14 to both sides

=> x² - 8x + 14 = 0

Comparing to the standard equation, we see

a = 1, b = -8, c = 14

Discriminant b² - 4ac = (-8)² - 4 x 1 x 14
= 64 - 56

= 10

Since discriminant is positive, there are two real solutions

He equation that rightly shows the Commutative Property of addition is

10 x3/10 = 3/10 x 10

The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.

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Answer: 69 (nice)

Step-by-step explanation:

ask the question: what squared equals 4761?

69 x 69 = 4761

Therefore, sqrt4761 = 69

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

value of given expression = 48

The order of operations is a rule that specifies the correct steps for evaluating mathematical expressions. We can remember the order with PEMDAS -

Parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right).  

Given expression,

9 - 4 ÷ (2 + 2) + 2³ . 5

By PEMDAS rule

First solving parentheses

= 9 - 4 ÷ 4 + 2³ . 5

then solving exponent

= 9 - 4 ÷ 4 + 8 . 5

Now solving multiplication

= 9 - 4 ÷ 4 + 40

Now solving division

= 9 - 1 + 40

Now solving addition

= 49 - 1

Now solving subtraction

= 48

Hence, 48 is the value of the expression.

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Answer:

Step-by-step explanation:

13/3 is the answer

Answer:

13/3

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

3 × 4 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/3

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The length of side CD is equal to 15 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;

52 = 2(2x - 1 + 3x - 3)

52 = 2(5x - 4)

52 = 10x - 8

10x = 60

x = 6

For side CD, we have:

Side CD = 3x - 3

Side CD = 3(6) - 3

Side CD = 18 - 3

Side CD = 15 units.

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Answer:

CD = 11

Step-by-step explanation:

As the formula for the perimeter of a rectangle is P = 2L + 2W, we can say that:

52 = 2(2x - 1) + 2(3x - 3) (distribute)

52 = 4x -2 + 6x - 6 (combine like terms)

52 = 10x - 8 (add 8 to both sides)

60 = 10x (divide both sides by 10)

6 = x

Now, as side CD is opposite side AB, and we know these sides are equal, we can say that AB = CD, therefore:

2(6) - 1 = 12 - 1 = 11

Which means side CD = 11.

As required to be determined in the task content, the number 2 in this scenario equal; 275.5.

It follows from the task content that the equivalent of the number 2 according to the described context is to be determined.

Since 5 equals 649 and 1 equals 151, let 2 be equal to x;

Therefore, by interpolation;

(x - 151) / (649 - 151) = (2 - 1) / (5 - 1)

4x - 604 = 498

4x = 604 + 498

4x = 1102

x = 275.5

On this note, it follows that the number 2 equals; 275.5.

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