3.5 & 3.6 writing and solving ratios and proportions day 2
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This document discusses using cross products to solve proportions. It provides three examples: 1) Solving the proportion 8 = 6/15 to find the solution is 20. 2) Using cross products to solve a standardized test problem where the proportion is 4 = 8/x-3 and the solution is x = 3. 3) Writing and solving a real-world proportion to find how much food a 280 pound seal should be fed per day (22.4 pounds).
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Alg2.5 B Notes
1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and explains why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer.
2. Students complete an activity with basic rules of arithmetic and then rephrase the rules without using variables. Examples of rephrased rules are provided.
3. Additional examples work through binary operations, using properties of operations, and finding patterns in products. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.
Alg2.5 A Notes
1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and asks students to explain why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer.
2. Students are given a homework assignment involving basic algebraic rules and properties. They complete an activity with a partner involving these rules.
3. The document asks students to rephrase basic algebraic rules without using variables, evaluate expressions using properties like distributive property, and find products of fractions. Patterns in the products are explored.
4. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.
Math chapter 1 section 1 6
This document provides definitions and examples of key mathematical properties used to solve problems involving addition, subtraction, multiplication, and division. It defines terms like sum, difference, product, and quotient, and covers properties such as the distributive property, commutative property, associative property, identity properties, zero property of multiplication, multiplicative inverse, and additive inverse. Examples are provided to illustrate how to use these properties to evaluate and simplify expressions.
Alligation
Alligation involves mixing preparations of different strengths to produce an intermediate strength. It is calculated by:
1) Subtracting the required percentage from the stronger percentage.
2) Subtracting the weaker percentage from the required percentage.
3) The differences are the proportions of the stronger and weaker preparations to mix.
For example, to make 100g of an 8% substance by mixing 10% and 2% preparations, the calculation is:
1) Subtract 8% from 10% = 2%
2) Subtract 2% from 8% = 6%
3) Mix 6 parts of 10% and 2 parts of 2% preparations.
This gives 75g
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1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and explains why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer.
2. Students complete an activity with basic rules of arithmetic and then rephrase the rules without using variables. Examples of rephrased rules are provided.
3. Additional examples work through binary operations, using properties of operations, and finding patterns in products. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.
Alg2.5 A Notes
1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and asks students to explain why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer.
2. Students are given a homework assignment involving basic algebraic rules and properties. They complete an activity with a partner involving these rules.
3. The document asks students to rephrase basic algebraic rules without using variables, evaluate expressions using properties like distributive property, and find products of fractions. Patterns in the products are explored.
4. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.
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This document provides definitions and examples of key mathematical properties used to solve problems involving addition, subtraction, multiplication, and division. It defines terms like sum, difference, product, and quotient, and covers properties such as the distributive property, commutative property, associative property, identity properties, zero property of multiplication, multiplicative inverse, and additive inverse. Examples are provided to illustrate how to use these properties to evaluate and simplify expressions.
Alligation
Alligation involves mixing preparations of different strengths to produce an intermediate strength. It is calculated by:
1) Subtracting the required percentage from the stronger percentage.
2) Subtracting the weaker percentage from the required percentage.
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For example, to make 100g of an 8% substance by mixing 10% and 2% preparations, the calculation is:
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3. Solve for the variable.
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"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
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(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
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- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
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This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
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Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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- 1. • If two ratios are equal, their “cross-products” are also equal. • This concept helps you solve for an unknown value.
- 2. EXAMPLE 1 Use the cross products property Solve the proportion 8 = 6 x 15 8 = 6 Write original proportion. x 15 8 15 = x 6 Cross products property 120 = 6x Simplify. 20 = x Divide each side by 6. ANSWER The solution is 20. Check by substituting 20 for x in the original proportion.
- 3. EXAMPLE 1 Use the cross products property CHECK 8 ? 6 = Substitute 20 for x. 20 15 ? 8 15 = 20 6 Cross products property 120 = 120 Simplify. Solution checks.
- 4. • Solve: 4k 8 10 20
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- 6. EXAMPLE 3 Write and solve a proportion STEP 2 Solve the proportion. 8 x = Write proportion. 100 280 8 280 = 100 x Cross products property 2240 = 100x Simplify. 22.4 = x Divide each side by 100. ANSWER A 280 pound seal should be fed 22.4 pounds of food per day.
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- 8. EXAMPLE 2 GUIDED PRACTICE for Examples 1,2, and 3 3 2 = x x –6 Write original proportion. 3(x – 6) = 2 x Cross products property 3x – 18 = 2x Distrubutive property 18 = x Subtract 3x from each side. ANSWER The value of x is 18. Check by substituting 18 for x in the original proportion.
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