(100+?)/100=10
How do I work this out?

The inches long of the second sample is 4 3/8 inches.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

A mathematical model is a system description that uses mathematical ideas and terminology. Mathematical modeling is the process of creating a mathematical model.

When we multiply a multiplicand by one digit of a multiplier that has more than one digit, we produce a partial product. To multiply, we divide the number into smaller components. The parts are then multiplied individually and added together.

In this case, Gale knits a sample that is 2 5/8 inches long. She knits a second sample that is 1 1/3 times as long as the first sample.

The inches long for the second sample will be:

= 2 5/8 × 1 1/3

= 21 / 8 × 5/3

= 105 / 24

= 4 9/24

= 4 3/8

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Complete question

To make sure the sweater she is knitting will be the right size, Gale knits a sample that is 2 5/8 inches long. She knits a second sample that is 1 1/3 times as long as the first sample. How many inches long is the second sample?

Show how to use a model and partial products to multiply.

Answer:

72 pounds

Step-by-step explanation:

6/24=18/x

cross multiply

Answer:

5 book because divide weight 24 for 1 and you go multiplication for 2 3 4 5 6

Step-by-step expl.klanation:

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

Step-by-step explanation:

C(16, 4)   = 1820 ways

16

   C

     4                    = (16x15x14x13)  /  (4x3x2x1)

The ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h

= 2(√(V/2π))/(2√(V/2π)) = 1

What is area ?

Area is a measure of the size of a two-dimensional surface or shape. It is the amount of space inside a closed boundary, such as a square, rectangle, circle, or any other shape.

A = 2πrh + 2πr²

where r is the radius of the can, h is the height of the can, and π is a constant (approximately equal to 3.14).

The volume of the can is given by:

V = πr²h

We want to find the ratio of diameter to height that minimizes the surface area of the can while holding a specific volume. We can use the volume formula to solve for one variable in terms of the other:

h = V/πr²

Substituting this expression for h into the surface area formula, we get:

A = 2πr(V/πr²) + 2πr²

Simplifying, we get:

A = 2V/r + 2πr²

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:

dA/dr = -2V/r² + 4πr

Setting this equal to zero, we get:

-2V/r² + 4πr = 0

Solving for r, we get:

r = √(V/2π)

Substituting this value of r back into the expression for h, we get:

h = 2√(V/2π)

Therefore, the ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h = 2(√(V/2π))/(2√(V/2π)) = 1

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In the equation 1 over 2 x + y=c, the constant proportionality is defined as c. It displays the line's y-intercept and slope.

If the ratio of one statistic to the other is constant, then there is a proportional relationship between the two variables.

The ratio of y to x is the constant of proportionality if x and y have a proportional connection. At times, we can also say that x is to y.

The proportionality constant, or c, in the equation 1 over 2 x + y = c serves as a gauge for how quickly two variables change. The proportionality constant's value doesn't change when the value of one of the variables does.

A linear equation with two variables, x and y, is 1 over 2x + y = c. In the x-y plane, it symbolises a straight line.

If x = 0

Then,

1/2(0) + y = c

y = c

The proportionality constant, c, can be seen in the equation

1 over 2 x + y = c.

This number, which is unrelated to the actual values of the variables, shows the relationship between the two variables x and y.

The slope of the line connecting the two variables is another name for the constant of proportionality.

Two variables, x and y, are included in the equation 1 over 2 x + y = c in addition to the proportionality constant. The two quantities that

are being compared are represented by these variables.

In the equation 1 over 2 x + y=c, the proportionality constant is defined as c. It displays the line's y-intercept and slope.

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The Complete questions as follows-

Explain what the constant of proportionality means in the equation 1 over 2 x + y = c

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

seven ninths

Step-by-step explanation:

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

$11.44

Step-by-step explanation:

Since half a pound of fudge costs $5.72, then you just have to multiply by 2

5.72 x 2 = 11.44

So one pound of fudge costs $11.44

Hope this helps :)

Answer:

I think it's $1.39 per ounce.

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

A composite number is a number that can be divisible by more than 1.

81 can be divisible by 1 and 9.

-kiniwih426

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal  garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

rational

Step-by-step explanation:

since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.

Answer:

Rational

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:

A

Step-by-step explanation:

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Since the tree was broken and the top part forms an angle with the ground, therefore the height of the tree is x+y,

Given the horizontal distance and the angle formed with the ground,

Using SOHCAHTOA, to find x (the vertical part of the broken tree),

Substituting the values into the formula above,

Using the Pythagorean theorem to find y,

The height of the tree before it got broken is,

Hence, the height of the tree is 359.8 feet.

The statement "type coercion in arithmetic expressions can reduce the benefits of type checking and may lead to a loss of precision" is true because it allows different data types to be combined without explicit conversion.

Type coercion is the process of converting one data type to another, such as from a string to a number. This can occur in arithmetic expressions when different data types are combined, such as adding a number to a string. While this can be useful in some cases, it can also lead to a loss of precision if the conversion is not done correctly.

Additionally, type coercion can reduce the benefits of type checking, as it allows for different data types to be combined without explicit conversion. This can lead to unexpected behavior and errors in the code.

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Answer:

1511

____

2000

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

Answer:

87.15m^3

Step-by-step explanation:

L*B*H

8.3ft *7.5ft* 1.4ft

87.15m^3

The next number in the series would be 31 so the complete series is 101, 001, 66, 31.

The first thing we observe is that 101 equals 100 plus one. The second term, 001, equals 0 plus 1. Now consider the distinctions between consecutive terms:

101 - 001 = 100

001 - 66 = -65

When we look at the disparities (100, -65), we can see a pattern. The difference between 100 and 65 is a factor of 35. We can now apply this distinction to the final term in the series:

66 - 35 = 31

So the next number in the series is 31, completing the sequence: 101, 001, 66, 31.

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Answer:

5 Hours

Step-by-step explanation:

He’s going 63 MPH

441/7 = 63 MPH

315/63 = 5 Hours

Answer:

5 hours

Step-by-step explanation:

First, divide 441 miles by 7 hours to get a rate of 63 miles/1 hour. Then divide 315 miles by 63mph to get 5 hours.