Math and Arithmetic

The average of nine numbers is 40, so their total is 360. When 1 is added to the first number and 2 to the second, and so on up to 9 for the ninth number, the total increase is 1+2+3+...+9=45. Adding this to the original total gives 405, and dividing by 9 gives a new average of 45.

In the 2nd century B.C., musicians in ancient Rome and Greece began to form guilds, known as "collegia," which were associations that provided support and organization for various trades, including music. These guilds allowed musicians to collaborate, share resources, and gain recognition, enhancing their social and economic status. Prominent musicians, such as lyre players and flutists, often participated in these organizations, which contributed to the development of musical culture throughout the empire.

Visualizing 60 cm is easy—it’s about the length of a large notebook or a standard keyboard. Knowing sizes helps when printing, whether it’s documents or fun coloring pages.

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To add one and two thirds (1⅔) and two and one sixth (2⅙), first convert them to improper fractions. 1⅔ becomes 5/3 and 2⅙ becomes 13/6. Finding a common denominator (which is 6), we rewrite 5/3 as 10/6. Now, add 10/6 and 13/6 to get 23/6, which can be simplified to 3 and 5/6. Thus, one and two thirds plus two and one sixth equals 3 and 5/6.

One US gallon of diesel is 3.785 liters. In realistic bus simulators, knowing fuel amounts helps you plan long trips and manage resources just like in real life. You can try this realistic bus driving experience

for a fun simulation.

To find out how many times 81 goes into 410, you divide 410 by 81. The result is approximately 5.06, which means 81 goes into 410 a total of 5 times with a remainder. In whole numbers, 81 fits into 410 five times.

Cannot do this because you have NOT specified whether or not 3.5 inch is the radius, diameter or circumference.

Please clarify.

You can write 3800 in several ways:

1. As a numeral: 3800
2. In words: Three thousand eight hundred
3. In expanded form: 3000 + 800
4. In scientific notation: 3.8 × 10^3

You are converting Imperial/Metric.

The conversion factor is

1 inch = 2.54 cm

So in 12.6 cm there are 12.6/2.54 = 4.96 inches ( to 2 d.p.).

For exponential growth to continue, a population or system must have access to abundant resources, such as food, space, and nutrients, which allow for uninterrupted reproduction or expansion. Additionally, the conditions must be favorable, meaning there should be minimal environmental resistance, such as predation, disease, or competition. Finally, the growth rate must remain constant over time, ensuring that the factors driving the growth are sustained.

The radius of a circle is half the diameter so if the radius of a circle is r, then the diameter is 2r.

Irrespective of the units of length, be they Metric, or Imperial , the diameter is twice the radius.

Algebraically written as d = 2r o r ( d = r + r).

Remember for ALL circles, the diameter is twice the radii. ( radii us plural of 'radius'.

The radius is a straight line from the circle centre to the circumference.

The diameter is a straight line from the circumference , through the centre , to the circumference on the 'opposite' side.

To answer your question.

Radius = 2.52 , Hence diameter is 2.52 + 2.52 = 2 x 2.52 = 5.04 ( units of length).

1200/10000

Cancel down by '100'

Hence

12/100 = 0.12 as a decimal.

NB THere is no point in writing 0.1200 . The suffix zeroes to the right of the '2', are trivial.

35/10000 = 0.0035 as a decimal.

14/35 reduces to 2/5 by cancelling down with '7'/

2/5 = 0.4 as a decimal .

YES!!!!

14/35

'7' is a factor in both numbers.

7 X 2 = 14

7 x 5 = 35

So cancel down /reduce by '7'

Hence

14/35 = 2/5

NB Facility with your 'ten times tables' ( Multiplication) will speed/quicken the working of these type of problems.

#1 For any EVEN number it will divide by '2'. So '2' is a factor.

e.g. 1,000,004

#2 For any number ending in '5' or '0' it will divide by '5'. So ;5; is a factor.

e.g. 505, or 1050

#3 For any number where the digits sum/add to '9' , then it will divide by '9'. So '9' is a factor. e.g. 153 ( 1 + 5 + 3 = 9)

#4 For any number where the inside digits sum to the total of the outside digits, then '11' is a factor . e.g. 132 (1 + 2 = 3)

#5 The only two numbers you MUST test mechanically are '3' & '7'.

The triangular voyage, also known as the triangular trade, refers to a historical trade route that connected Europe, Africa, and the Americas during the transatlantic slave trade. Ships would leave Europe loaded with goods to trade in Africa for enslaved people, who were then transported to the Americas. In the Americas, enslaved individuals were forced to work on plantations producing sugar, tobacco, and cotton, and the raw materials were then shipped back to Europe. This cycle significantly impacted the economies and societies of all three regions involved.

The shape you are describing is a rectangular prism, specifically a type known as a rectangular cuboid or a box. It has three pairs of rectangular faces, each pair being of different sizes, and a total of 8 vertices (corners). The dimensions of the rectangular faces can vary, but they maintain the characteristic of having three distinct lengths.

To find the number of sides ( n ) of a polygon given that the sum of its interior angles is 2700 degrees, we can use the formula for the sum of interior angles, which is ( (n - 2) \times 180 ). Setting this equal to 2700 gives the equation ( (n - 2) \times 180 = 2700 ). Solving for ( n ), we find ( n - 2 = 15 ), so ( n = 17 ). Therefore, the polygon has 17 sides.

A work sequence refers to the specific order and arrangement of tasks or activities required to complete a project or achieve an objective. It outlines how different tasks are interrelated and the timeline for their execution, ensuring efficiency and coherence in operations. Properly establishing a work sequence helps in resource allocation, time management, and minimizing delays or conflicts.

Length and volume are both measurements used to quantify physical dimensions, but they describe different aspects of objects. Length refers to a one-dimensional measurement, indicating how long something is, while volume measures the three-dimensional space an object occupies. In essence, length is a linear measurement, whereas volume encompasses length, width, and height. Both are fundamental in geometry and physics, helping to describe the size and capacity of objects in different ways.

The HP 630 with an Intel Core i3 processor can handle basic programming tasks and lightweight development environments, making it suitable for beginners or for simple projects. However, for more demanding programming tasks, such as running virtual machines, compiling large codebases, or using resource-intensive IDEs, its performance may be limited. Upgrading RAM and using an SSD can help improve its overall efficiency. Ultimately, it’s a decent choice for casual programming but not ideal for professional-level software development.

If you are 13 years old, you would typically have been born in 2010 or 2011, depending on whether your birthday has occurred yet this year. For example, if today is in 2023 and your birthday has already passed, you would be born in 2010. If your birthday is later in the year, you would be born in 2011.