A Problem Solving Approach to Mathematics for Elementary School Teachers (13th Edition)
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; The given figure can be divided into equal ... more
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; To show by using an area model, draw a circle... more
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Yes ; Use the theorem that a fraction is greater ... more
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Meter A has more time remaining; By 3 minutes. ; ... more
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Entire Proof Answer: The Fundamental Law of ... more
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Assume to be a negative integer. Dividing by 1... more
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; One millimeter is one thousandth of a meter. ... more
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; Calculate the number of Objects B that are ... more
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; Calculate the number of people who were male by... more
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; Take a rectangular pane and divide it into 8 ... more
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; Divide the given unit strip into 15 equal parts... more
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The denseness property for rational numbers states... more
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Entire Proof Answer:The fraction will be less ... more
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; The given diagram can be divided into equal ... more
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; To show using an area model, take a square.... more
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; Let be the numerator and be the denominator... more
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; The given diagram can be redrawn and divided ... more
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For and , , where , , and are integers.For ... more
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Entire Proof Answer: Let be any integer.Any ... more
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; Divide a ruler in 8 equal parts.The whole of ... more
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; The required number of objects B is equal to ... more
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; Let 1 represent the whole, that is, the total ... more
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As there are 100 cents in a dollar, the 25 cents ... more
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There can be different number of students in the ... more
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The fraction obtained is equal to .If any set of ... more
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; Let be natural numbers, be whole numbers, ... more
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The given law states that multiplying and dividing... more
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Let the total cross symbols in the original ... more
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; Since the diameter of the first Dish P is , the... more
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Each square can be divided in four equal parts and... more
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No. In the fraction , the GCD of 0 and 6 is not 1... more
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The second person does not know the concept of ... more
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The assertion of Individual S is wrong as there ... more
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The concept of Individual S is incorrect as the ... more
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Individual A can show part of the total visages ... more
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The assertion of Individual I is wrong because the... more
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Individual S's assertion is incorrect because 10 ... more
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The assertion of Individual C is incorrect, as to ... more
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Since the passing ratio of both classes is equal, ... more
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The claim is incorrect as the concept of lower and... more
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The fraction with larger denominator is smaller if... more
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Individual C's assertion is incorrect because when... more
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Individual K is correct because 6 out of 8 equal ... more
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Person A has 7 siblings out of which 5 are girls. ... more
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Multiply the numerators and denominators of the ... more
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When 10 feet long object S is divided into 5 ... more
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As the denominator is greater than the numerator, ... more
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; There is a total of 16 squares. of 16 squares ... more
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; Assume the length of the fence to be .So, the ... more
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Write the fractions that are equal to the given ... more
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The approximated value of the summation can be ... more
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Person K approximated the value of the addition ... more
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NoFor instance, the fraction is closer to , which... more
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added to results in a value more than 1, whereas... more
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Individual J should choose the two pieces that ... more
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By finding the nearest numbers (benchmark ... more
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; Write each given fraction into decimals. ; The ... more
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12 ; Use grouping to add the mixed numbers.Select ... more
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; Let the total number of students in a class be... more
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; Add the fractions that represent the length of ... more
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; The total amount of item F is .The individual ... more
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; Calculate the difference between the distance ... more
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The quantity of Item M needed is cups and cups. ... more
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; Let the other fraction be .Equate the sum of ... more
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; The fraction representing the portion for rent ... more
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; The denominator of the answer will be 24 only ... more
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; The fractions , , and lie between 0 and , but ... more
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; Let the total number of students be .Write the ... more
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; The total amount of liquid M required for a ... more
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; Total fraction for the area of an item B is .... more
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; The term of an arithmetic sequence is given ... more
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; Find the quantity of paint left after ... more
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; Write the fraction representing the portion for... more
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The fraction represents the amount taken from ... more
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It is easier to add two fractions having like ... more
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It is always true that a mixed number can be ... more
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The information is about the amount spent on ... more
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The value of the given expression is . The second ... more
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A person purchased some chocolates and ate of the... more
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The statement given by Individual K is wrong.One ... more
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Individual K thought that there were a total of 12... more
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Individual J gave a wrong statement. One should ... more
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The given area model is incorrect. To display the ... more
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One should explain to Individual A using a ... more
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To perform addition, separate the integer and ... more
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Individual N’s statement is incorrect. If the ... more
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There are 27 bones in one hand of a human, so both... more
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The fractions of the form are equivalent to for ... more
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; Let the total number of Food Item C be .The ... more
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On the number line, the number on the right is ... more
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Take the fraction . It is exactly equal to 1.This ... more
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Three times of cup results in cups. So, ... more
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; In the given image, fill in the first 4 rows ... more
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; In the given image, fill in the first row out ... more
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; In the given image, fill in the first 2 rows ... more
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; Draw an image with 4 rows and 8 columns. Fill ... more
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; Draw an image with 9 rows and 10 columns. Fill ... more
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; Draw an image with 7 rows and 3 columns. Fill ... more
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; Draw an image with 5 rows and 6 columns. Fill ... more
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; Draw an image with 6 rows and 4 columns. Fill ... more
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; Draw an image with 8 rows and 2 columns. Fill ... more
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; Draw an image with 12 rows and 5 columns. Fill ... more
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; Draw an image with 2 rows and 9 columns. Fill ... more
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Assume there were 4 apples in a basket.Suppose one... more
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Entire Proof Answer: Apply the algorithm for ... more
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; Draw an image with 1 shaded block out of 4 ... more
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Width: mile ; Determine the width of the ... more
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The cost of yard of material is and cost of ... more
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; Assume that there are number of students in ... more
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; Assume a fraction of stock that is neither ... more
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; Let be the original price.The discount price ... more
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; Suppose were there originally in the savings ... more
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32 ; Let Individual A have Object M.Find the ... more
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Entire Proof Answer: Let and be rational numbers ... more
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; Find the number of cups mixed to make 1 batch ... more
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3 ; Let be the required number of persons.Every ... more
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; Add and , to find the required fraction. ; ... more
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; Each individual gets th part of the th of the... more
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; Assume the fraction to be .Add numerator and ... more
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; Let the number be .Multiply by 3 and find the... more
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; Let represent the initial number of teachers.... more
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246 ; Let the total number of pages in the book be... more
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41 weeks ; Calculate of 52 weeks to find the ... more
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; From the given information, 8 students are ... more
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34 ; To find the number of Utensil C contained in ... more
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; Find the total fraction of Animal D in the two ... more
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; Find the required part of stocks by calculating... more
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The answer will never be less than . The ... more
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The point best reflects the product of the ... more
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The other number is less than 1 and the reciprocal... more
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Both the method and the result are incorrect. The ... more
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Individual A’s statement is incorrect. Taking the ... more
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Individual D is right. The expression can be ... more
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Individual N’s statement is correct. If a number... more
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The student’s statement is incorrect. If 5 is ... more
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The fraction can be simplified as and not . and... more
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Both ways of writing “17 divided by 5” in the ... more
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Individual J’s statement is correct. The fractions... more
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Individual J's statement is incorrect as division ... more
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Individual B's statement is correct. A positive ... more
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Individual A's calculation is correct. The ... more
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Write as the sum of a whole number and a fraction... more
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A suggestion can be given to compare the two ... more
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1. ; 2. ; 3. ; ; Draw a rectangle ... more
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; Draw two rectangles.Divide one rectangle into ... more
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120 ; Find the number of students who choose ... more
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pounds ; The mark on the second position from 0 is... more
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The product of and 3 gives , which is less than... more
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Add , , and to find the total fraction of the ... more
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; Calculate the unit rate of cutting the grass by... more
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; According to the given information, the ratio ... more
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Fruit G for ; The cost of 4 Fruit G is 80 cents.... more
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; The ratio of distance in the map to the real ... more
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; The ratio of reading pages to minute is .Assume... more
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; Assume to be constant such that the ... more
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Person S: ; Person D: ; Calculate the ratio ... more
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; Assume a constant so that the success of ... more
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; Multiply both side of the proportion by and ... more
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; The ratio of the length to the wingspan is .... more
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; The ratio of the length to the electrical ... more
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; From the given information, it can be said that... more
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; The ratio of the mass of pure metal to the ... more
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Vehicle C ; Mileage of a vehicle can be obtained ... more
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Person N ; Divide 20 by 2 to find the distance ... more
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; Assume that the total number of appliances is .... more
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Object OT: 85; Object RT: 17 ; Assume a variable... more
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No; It is because is the required amount of Item... more
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Each unit of stick B represents , so the length of... more
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; The ratio of Person A to Person T is .Assume ... more
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; In 12 minutes, the burnt length of Object C is ... more
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Length: ; Width: ; Assume a constant number ... more
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; The ratio of the insect's height to its jumping... more
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; The ratio of the number of months worked to the... more
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; Let be the number of teachers currently ... more
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; The ratio of the length of the tree to the ... more
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; Ignoring the units, the given proportion can be... more
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; The ratio of the number of weeks to the ... more
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; Assume a constant variable to be the width (... more
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; Assume a constant variable to be the distance... more
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; Assume a variable that denotes the actual ... more
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, , , if . ; The variables and cannot be equal... more
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; Assume a constant variable to be the amount ... more
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; Substitute 173 for , 68 for , and 21 for into... more
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Vehicle C ; Mileage of a vehicle can be obtained ... more
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Person N ; Divide 18 by 2 to find the distance ... more
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; Assume the total number of appliances to be .... more
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Object OT: 96; Object RT: 16 ; Assume a variable... more
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Assume that is the required amount of Item F that... more
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; Assume a constant variable to be the weight (... more
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Each unit represents 2 Object B. So, the original ... more
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The proportion indicates that the price of the ... more
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Two ratios are equal if they are reducible to a ... more
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Reduce the ratio of dimensions of the first Object... more
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Two ratios are equal, that is, they form a ... more
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; Assuming as the total number of adult men and... more
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There is more water in Recipe A as compared to ... more
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By asking Person D to interchange the numerator ... more
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Yes, Person N is correct because two ratios are ... more
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By asking Person A to change the units of each ... more
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Let and 43 feet be the nose length and arm length... more
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Both the mixtures have different ratios of colors... more
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; Assume the constant variables and , which ... more
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is a proper fraction because the denominator is ... more
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Rational numbers are those numbers that can be ... more
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The ratio can be simplified to . The reason ... more
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; At 6, the hands of the clock form a straight ... more
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The given ratios are equivalent if they are in ... more
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Entire Proof Answer:Use the fact that if and ... more
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People G used the ratio in the construction of ... more
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As the old length of the object is 5 inches and ... more
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Assume a constant number such that the number of ... more
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Assume a constant number such that the number ... more
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From the given information, it can be said that ... more
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; A proportion is defined as the equality of ... more
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; Multiply both the numerator and the denominator... more
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; The simplest form of is .To compare the ... more
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Yes, by using the laws of multiplication, ... more
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Let Individual A have 4 children and 37 cookies. ... more
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; Multiply the numerator and denominator of the ... more
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Write the given number as . After this, press the ... more
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; Compute of half. ; Multiply by 2000 to find... more
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; If side H was obtained 376 times, which was ... more
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; The fraction of obtaining side H 240 times to ... more
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Not reasonable: The sum of the given fractions ... more
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; Assume to be the required distancein feet.Set ... more
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The simplest form of the given fraction is which ... more
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; Write in the simplest form. ; Multiply the ... more
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; To calculate the required number, multiply by... more
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; This is because when is subtracted from, the ... more
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The conclusion drawn from the diagram is correct. ... more
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Neither bottle is a better buy since both cost the... more
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No; The ratio of metal G to other metals is not ... more
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44 ; Write the ratio of 11 people to 4 people to ... more
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; Let the length of the house be meters.Convert... more
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; Let there be ounces of chemical H in of ... more
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No; If the percentage of the obtained defective ... more
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; Substitute 1 for into the formula . ; ... more
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; Let be the boys in Ms. G's class.Write the ... more
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; All the ratios can be considered as fractions ... more
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; Assume that the two numbers are and .Form an ... more
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; Let the required number be .Form an equation ... more
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Person D: 45Person M: 75 ; The total number of ... more
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; Compute the perimeter of the first triangle by ... more
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Mug with of cream ; The mug with of cream has ... more
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; Compute of 121 by multiplying by 121. ; ... more
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The total sum of fractions must be 1.Let the total... more
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; Let be the number of containers left at a ... more