Understanding Ratios: A Comprehensive Guide

Feb 27, 2025

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Learn about ratios, comparisons between numbers, and how to use proportions effectively. Explore examples like the gas-to-oil ratio in a WeedEater for practical understanding.

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Understanding Ratios: A Comprehensive Guide

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1. Using Proportions Ratios

2. Ratios: Review Ratios are comparisons between two numbers. Format: 4 to 5 4:5 4/5 WeedEater: Mix 2 ounces of oil for every 50 ounces of gas. What is the gas to oil ratio?

Proportions

Proportions. Proportions. Proportion : a statement where two ratios are equivalent. a c b d. =. A proportion is true if the product of the means is equal to the product to the extremes. b · c = a · d. Proportions.

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A BIT DIFFERENT THAN USING PROPORTIONS!

Dimensional Analysis Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. A BIT DIFFERENT THAN USING PROPORTIONS!. Doing Problems. Read problem completely Determine the measured qty. in the problem and the units

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Using Proportions

5-Minute Check. There are 3 red marbles, 2 white marbles, and 5 blue marbles in a bag. Find each probability. 1. P(red). . 5-Minute Check. There are 3 red marbles, 2 white marbles, and 5 blue marbles in a bag. Find each probability. 1. P(red)3/10. . 5-Minute Check. There are 3 red marb

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Solving Percent Problems Using Proportions

45 150. n 100. Write a proportion. =. Write the cross products. 150 n = 45 ( 100 ). 150 n 150. 45(100) 150. Divide each side by 150. =. Simplify. n = 30. COURSE 2 LESSON 6-5. Solving Percent Problems Using Proportions. What percent of 150 is 45?.

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Using Proportions to Solve Percent Problems

Using Proportions to Solve Percent Problems. MCC7.RP.3 : Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. What are they??.

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Proportions

Proportions. Converting Customary Units Using Proportions. Customary Measures - Capacity. 1 cup (c) = 8 fluid ounces (fl. oz ) 1 pint ( pt ) = 2 cups (c) 1 quart ( qt ) = 2 pints ( pt ) 1 gallon (gal) = 4 quarts ( qt ) Fl. Oz. – Cups – Pints – Quarts – Gallons .

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Proportions

Proportions. 1. 4. =. 1:3 = 3:9. 2. 8. Proportions. What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar figures. What do we mean by similar?

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Using Proportions (Objective: using proportions to solve real world problems)

Using Proportions (Objective: using proportions to solve real world problems). MS. Battaglia / Mr. Baldino. Work together.

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Using Ratios and Proportions

Using Ratios and Proportions . Section 6.1. Do Now: pg 354 (1-10). Vocabulary. Using Ratios and Proportions . What You'll Learn. You will learn to use ratios and proportions to solve problems. 1) ratio 2) proportion 3) cross products 4) extremes 5) Means

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Solving Proportions Using Cross Products

Solving Proportions Using Cross Products. Section 3.6. The product of the numerator of one ratio and the denominator of the other ratio. . Cross Product :. Divide both sides by 25.

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Finding Proportions using Cross Multiplication

Finding Proportions using Cross Multiplication. Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two ratios form a proportion. .

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Using Ratios (Proportions) to Make Predictions

Using Ratios (Proportions) to Make Predictions. TEKS 6.3 A/C Lesson 4 (3 rd 6 Weeks). Proportion. Two equivalent ratios or rates EX: Are and equivalent (proportional)?. Two equivalent ratios or rates EX: Are and equivalent (proportional)?.

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Solving Proportions, Using Exponents

Solving Proportions, Using Exponents. Proportions. Many chemistry problems deal with changing one variable and measuring the effect on another variable. We call these proportions (fractions) when there is a direct relationship between the two variables.

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A BIT DIFFERENT THAN USING PROPORTIONS!

Unit Analysis (or Dimensional Analysis) Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. A BIT DIFFERENT THAN USING PROPORTIONS!. Doing Problems. Read problem completely

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Conducting a Hypothesis Test Using Proportions

Conducting a Hypothesis Test Using Proportions. Note: a proportion is the same as the percentage of the population. Formula for the z test for proportions:. ( X – µ ). ( X – np ). z =. or. σ. √ npq. Where:. µ =. np. σ =. √ (npq). q =. 1 – p. Steps for Hypothesis Test.

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Proportions

Proportions. What are proportions?. An equation in which two ratios are equal is called a proportion A proportion can be written using colon notation like this a : b :: c : d or as the more recognizable ( and useable ) equivalence of two fractions. _ a __ = _ c __ b d.

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Proportions

Proportions. By Che ’ Joseph & Bree ’ Perry. Ratio. A ratio is a pair of numbers that compares two quantities or describes a rate. A ratio can be written in three ways: Using the word to 3 to 4 Using a colon 3:4 These are all read 3 to 4. Writing a fraction

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October 2, 2012 Percent using proportions

October 2, 2012 Percent using proportions. Warm-up: 1. At the peak of his performance, Mickey Mantle hit 1 homerun in every 9 at-bats. If Mantle had 468 at-bats in one season, how many home-runs did he hit?. HW 3.7: PG. 162 #15-21odds, 27-31odds, 37, 43.

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Using Proportions

Using Proportions. Lesson 4-1. Math Vocabulary. Ratio: The comparison of two numbers (written in Algebra as a fraction ) Proportion: When two ratios are equal to each other Cross Product(s):

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Solving Proportions by Using Cross Products

Solving Proportions by Using Cross Products. Cross Products. When you have two equal ratios (a.k.a. proportion), the cross products are equal to each other. Example: Do the ratios form a proportion? Check by using cross products. 12 x 3 = 36. 9 x 4 = 36. 4. 3. ,. 12. 9.

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Conducting a Hypothesis Test Using Proportions

Conducting a Hypothesis Test Using Proportions. Note: a proportion is the same as the percentage of the population. Formula for the test value for proportions:. ( X – µ ). ( X – np ). z =. or. σ. √ npq. Where:. µ =. np. σ =. √ (npq). q =. 1 – p.

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Proportions

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