The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long. Round each length to the nearest ten thousand to find the answer. What is the approximate difference between the lengths of the two bridges?

Three-dimensional objects can grow from both one-dimensional and two-dimensional objects when subjected to thermal expansion, which causes areas and volumes, as well as lengths, to increase with temperature.

A three-dimensional object can grow or expand from two-dimensional objects, such as areas (length and width), as well as from one-dimensional objects, such as lengths. When considering thermal expansion in two and three dimensions, it is important to understand that unconstrained objects expand in all dimensions: their areas (two-dimensional) and volumes (three-dimensional), as well as their lengths (one-dimensional), increase with temperature.

For example, if we have a metal plate (a two-dimensional object) with a circular hole in it and we increase the temperature, the area of the plate including the circular hole will increase (Figure 13.11 (a)). Similarly, if we have a solid metal block (a three-dimensional object), its volume will increase with temperature (Figure 13.11 (c)).

The thermal expansion process is explained by the fact that, as temperature increases, the atoms or molecules making up a material move farther apart, causing expansion. This is true for both holes and solid parts of a material, they both grow larger with increased temperature. Therefore, all one-dimensional, two-dimensional, and three-dimensional aspects of an object expand proportional to the increase in temperature.

To estimate the product of 27.64 and 3, round both numbers to the nearest whole number, then multiply them together.

To estimate the product of 27.64 and 3, you can round both numbers to the nearest whole number. So, 27.64 is approximately 28 and 3 is still 3. Then, multiply 28 by 3 to get an estimated product of 84.

By using elimination method, (11,-12) point is the solution to the system of equations.

"The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables."

Given system of equations

x + 2y = 10...................(1)

3x + 4y = 8.................(2)

By using elimination method, multiply equation (1) with (3).

Equation (1): 3x + 6y = 30..................(3)

Subtract equation (2) from (3)

3x + 6y - (3x + 4y) = 30 - 8

3x +6y - 3x - 4y = 22

2y = 22

y = [tex]\frac{22}{2}[/tex]

y = 11

Substituting y = 11 in equation (1)

x + 2y = 10

⇒ x + 2(11) =10

⇒ x = 10 - 22

⇒ x = -12

Hence, (11,-12) point is the solution to the system of equations.

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Final answer:

To find the measure of one interior angle of a square, divide the total sum of interior angles, 360 degrees, by the number of angles in a square, which is four. The resulting equation is x = 360° ÷ 4, revealing that each angle measures 90 degrees.

Explanation:

The question asks us to write an equation to describe the measure of one interior angle of a square given that the sum of interior angles of a square is 360 degrees.

A square has four equal interior angles. To find the measure of one angle, we can divide the total degrees by the number of angles.

We can set up the equation as follows: Let x be the measure of one interior angle of a square. Then we write the equation x = 360° ÷ 4. When we calculate it, x equals 90 degrees, which means each interior angle of a square is 90 degrees.

To convert 75.2 inches to centimeters, multiply it by the conversion factor of 2.54 cm per inch. 75.2 inches is approximately 191.01 centimeters when rounded to the nearest hundredth.

To convert inches to centimeters, you need to use the conversion factor 2.54 cm = 1 inch. The given measurement is 75.2 inches, and you are asked to convert this to centimeters.

You start by setting up the proportion as follows:

To find x, you multiply 75.2 by 2.54:

75.2 inches * 2.54 cm/inch = 191.008 cm

Then round this off to the nearest hundredth (if necessary) to obtain:

75.2 in. ≈ 191.01 cm

X = number of turkey sandwiches

Y = number of steak sandwiches

X   + Y    = 925 total sandwiches sold

4X + 6Y = 4524 dollars made

-4(X + Y = 925)

-4X + (-4Y) = -3700

 4X +  6Y    = 4524

           2Y    = 824

Y = 412

X + Y = 925

X + 412 = 925

For simple interest, the interest for each year is calculated on the initial principal itself.
So, for a period of 3 years, the total interest will be

So the total amount at the end of the period

The question is a mathematics problem requiring solving a two-step equation to find out how much money each person started with, and through logical deduction and equation solving, it's found that every person brought $10 to the fair.

The subject of this problem is Mathematics, and it involves solving a two-step equation to find the initial amounts of money each person had. Let's simplify it step by step:

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Answer:

4

Step-by-step explanation:

Answer

Find out the how much string will Mellisa have left over .

To prove

Let us assume that the  string will Mellisa have left over be x .

As given

Melissa needs 3.87 feet of string to use as a border for her poster.

Melissa finds a piece of string that is 4.25 feet long.

Than the equation is write in the form

x = 4.25 - 3.87

x = 0.38 feet

Therefore the  string will Mellisa have left over be  0.38 feet .

Hence proved

The length of string Mellisa will have left over is 0.38 feet

From the question,

We are to determine how much string Mellisa would have left over.

From the given information

Melissa needs 3.87 feet of string to use as a border for her poster.

Then,

She finds a piece of string that is 4.25 feet long.

That means,

From the piece of string that she found, she will use 3.87 feet out of the 4.25 feet.

∴ The length of string Mellisa will have left is = 4.25 feet - 3.87 feet

The length of string Mellisa will have left is = 0.38 feet

Hence, the length of string Mellisa will have left over is 0.38 feet

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The decimal representation is 1.05

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given

1 1/20 = (20+1)/20 = 21/20 = 1.05

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Answer:- D.It is not a function because there are two different y-values for a single x-value.

Explanation:-

From the given graph we can see that there are 2 different values of y i.e. y=-2 and y=4 for single x=4.

Therefore, D is the right answer. The graph is not a function because it is not a function because there are two different y-values for a single x-value.

The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.

Further explanation:

Given:

The options are as follows,

(a). It is not a function because the points are not connected to each other.

(b). It is not a function because the points are not related by a single equation.

(c). It is not a function because there are two different x-values for a single y-value.

(d). It is not a function because there are two different y-values for a single x-value

Explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.

One-to-one function always passes the vertical line test and the horizontal line test.

The given graph doesn’t pass the vertical line test.

The given graph has two values for [tex]x=4.[/tex]

The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.

Option (a) is not correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is correct.

Kindly refer to the image attached.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Relation and Function

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

Answer:

40

Step-by-step explanation:

We are given that

A railroad container can hold weight=42,000 pounds

Total number of ovens for ship=90

Weight of each oven=200 lbs

Weight of each freezer=600 pounds

We have to find the number of freezer can be shipped in the container.

Let x be the number of freezer can be shipped in the container.

According to question

[tex]42000=90(200)+600x[/tex]

[tex]42000=18000+600x[/tex]

[tex]600x=42000-18000[/tex]

[tex]600x=24000[/tex]

[tex]x=\frac{24000}{600}=40[/tex]

Hence, 40 freezer can be shipped in the container.