For example, miles per hour in transportation is the output (or benefit) in terms of miles of travel, which one gets from spending an hour (a cost in time) of traveling (at this velocity). Rates and Unit Rates. Let's solve some word It is added to the price. This Lesson (HOW TO Solve Rate of Work (painting, pool filling, etc) Problems) was created by by mbarugel(146) : View Source, Show About mbarugel: Passionate about Math :) I'm currently running OnlineMathAnswers.com In general, a function with a constant rate is one with a second derivative of 0. Assist young learners in grade 6 and grade 7 to improve their analytical skills with this set of diligently prepared unit-rate word problem with factual scenarios. Who is the slowest? If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator. Basic growth rates are simply expressed as the difference between two values in time in terms of a percentage of the first value. Intro to rates. In mathematics, a rate is the ratio between two related quantities in different units. A "rate" is a ratio in which the two terms are measured in different units. • The car can go 1000 km on 50 liters of fuel. Sample problem: A 120-pound studen burns 2.7 calories per minute, and exersices for 30 minutes. The first term of the ratio is measured in cents; the second term in ounces. Unit Rate in Proportional Relationships Curriculum Games, based on CCSS & state standards. unit rate a/b associated with a ratio a:b, use rate language in the context of a ratio relationship, examples and step by step solutions, Common Core Grade 6, 6.rp.2, ratio, proportion A unit rate is a rate with 1 in the denominator. The most common rate has to do with distance per time. The words ratio and rate are both appropriate in sixth grade and can mostly be used interchangeably. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. Rate function An extended real-valued function I : X → [0, +∞] defined on a Hausdorff topological space X is said to be a rate function if it is not identically +∞ and is lower semi-continuous, i.e. Problem Suppose 5000 dollars is deposited in an account that earns compound interest that is done annually. Concept explanation. is incremented by a Against the same current, it can travel only 16 miles in 4 hours. Let’s look at an example where we find the unit rate: Let’s look at an example where we find the unit rate: As you can see, rates and ratios have very similar applications and methods of solving; however, ratios have the same unit of measure, while rates have different units of measure. This rate … Unit rates actually are utilized by people frequently in every day life. A rate of change of A unit rate in math is the expression of a rate in a quantity of one. Convert 1 MATH to dollar (USD) / British Pound (GBP) / Euro (EUR) in real time. Click here to learn about ratios and rates in math! For example, suppose eggs are on sale for $.72 per dozen. The inverse of a ratio r is 1/r = b/a. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the … Often rate is a synonym of rhythm or frequency, a count per second (i.e., hertz); e.g., radio frequencies, heart rates, or sample rates. One common type of rate is "per unit of time", such as speed, heart rate and flux. Read the latest articles of Advances in Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature An approach for weighted mixed-norm estimates for parabolic equations with local Solving unit rate problem. Deb Russell. ) can be formally defined in two ways:. Rate of Edmund –> 1 ÷ 3 = 1/3. Use rates to solve word problems. EXAMPLES: interest rate • interest is expressed as a percentage rate of the principal for a given time interval. Edmund takes 3 hours to clean a house on his own. Find more ways to say rate, along with related words, antonyms and example phrases at Thesaurus.com, the world's most trusted free thesaurus. Also find the definition and meaning for various math words from this math dictionary. A rate (or ratio) may often be thought of as an output-input ratio, benefit-cost ratio, all considered in the broad sense. CCSS.Math: 7.RP.A.1 Google Classroom Facebook Twitter Email Rate problems with fractions Rates with fractions This is the currently selected item. a Similarly, 30 students per school bus also represents a unit rate. Sixth graders solve a variety of Common Core math problems using ratios. Ratios that have a non-time denominator include exchange rates, literacy rates, and electric field (in volts per meter). Usually, ratio is used for part‐part comparisons, but not always. & Calculus Other Stuff Simple Interest Calculator Simple interest is money you can earn by initially investing some money (the principal). There are endless examples of unit prices gone wrong, and they all give me a giggle. Indicator: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. Rate vs Ratio. Synonym Discussion of rate. In mathematics, a rate is the ratio between two related quantities in different units. Calculating simple interest or the amount of principal, the rate, or the time of a loan can seem confusing, but it's really not that hard.Here are examples of how to use the simple interest formula to find one value as long as you know the others. Determine the unit rate in each problem. a} UNIT RATE Rate is a ratio that compares two quantities of different units. D. none of these. Problems using this type of rate can be solved using a proportion , or a formula . These unique features make Virtual Nerd a viable alternative to private tutoring. f} A set of sequential indices i may be used to enumerate elements (or subsets) of a set of ratios under study. Rate of Marcus Plus Rate of Edmund –> 1/2 + 1/3 = 5/6 Time Taken –> 1 ÷ 5/6 = 1.2 hours The first term of the ratio is measured in cents; the second term in ounces. Students learn about rates and unit rates and apply their knowledge to solve word problems. And how do you work with rates? The amount of interest paid per year is a rate. rate of change = change in y change in x = change in distance change in time = 160 − 80 4 − 2 = 80 2 = 40 1 The rate of change is 40 1 or 40. a For example, if you ran 70 yards in 10 seconds, you would run an average 7 yards in 1 second. We write the rate as a ratio with a denominator of one. • the principal is the amount being borrowed. Math 6th grade Ratios, rates, & percentages Intro to rates. Usually, ratio is used for part‐part comparisons, but not always. \delta f/\delta a} A rate that has 1 unit as it's second term -Ex-5lbs at$1.45 per lb. by 2. DOWNLOAD for FREE this plugin today to optimize your WordPress website for higher rankings and more traffic. How many calories did he burn? A rate is a special ratio in which the two terms are in different units. What are rates in math and where are they needed? Learn to identify the constant of proportionality. In actuality, growth rate calculation can be remarkably simple. Steps would be best! The word rate … Rate … f We write the rate as a ratio with a denominator of one. A "unit rate" is a rate in which the second term equals "1." Synonym Discussion of rate. These unique features make Virtual Nerd a viable alternative to private tutoring. Rate of change helps a student understand how much something changes over a certain duration. If you were to plot the function on standard graph paper, it would be a straight line, as a Rank Math WordPress SEO plugin will help you rank higher in search engines. Basically, the ratio of the change in the output value and change in the input value of a function is called as rate of change. Example 1: Car A travels 150 kilometers in 3 hours. The rate is a ratio of two quantities having different units. See more. f How to use rate in a sentence. Plan your 60-minute lesson in Math or Number Sense and Operations with helpful tips from Andrea Palmer Example: Borrow $1,000 from the Bank Alex wants to borrow$1,000. 2) Tom swims a 1/2 mile every 1/4 hour. (where A unit rate is a rate with a denominator of 1. Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. C.  and  All rates are ratios, but not all rations are rates. In a proportion, the product of the extremes (ad) equal the product of the means(bc), Thus, ad = bc Percent: Percent to fraction: x% = x/100 Percentage formula: Rate/100 = Percentage/base When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula: . In most states, the sales tax is set at the state level. Some of the country’s largest and richest states score below the average for the United States as a whole, including New York (30 percent), Missouri (30 percent), Michigan (29 percent), Florida (27 percent), and California (24 percent). Math for Everyone General Math K-8 Math Algebra Plots & Geometry Trig. Solving unit price problem. How to use rate in a sentence. Learn to solve rate word problems using systems of equations. Rate definition, the amount of a charge or payment with reference to some basis of calculation: a high rate of interest on loans. Unit rate is one of my favorite topics to teach in Consumer Math. The unit rate is 20 km per liter. {\displaystyle f}  If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable. Only four additional states—Vermont, North Dakota, New Jersey, and Kansas—have a math proficiency rate above 40 percent. Step 1: Rate is a ratio that compares two quantities of different units. 20 oz of juice for $4, miles per hour, cost per pound etc. share to facebook share to twitter Intro to rates. Sixth graders solve a variety of Common Core math problems using ratios. Let’s look at an example. What is the unit price? The speed of car (often expressed in miles per hour) is a rate. a Where are they needed? Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. For example, Jake types 10 words in 5 seconds. Problems that ask you to solve for the rate r in the compound interest formula require the use of roots or creative use of exponents. all the sub-level sets ∣ ≤} ≥ are in XI . Unit Rate: Unit rate is a rate in which the second term is 1. Miles per hour or feet per second are both rates of speed. The word rate … Unit Rate Word Problems Examples: 1) Find the unit rate if Suzie reads 45 books in 15 days. Both of the rates, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate. I = Prt For the above calculation, you have$4,500.00 to invest (or borrow) with a rate of 9.5 percent for a six-year period of time. The words ratio and rate are both appropriate in sixth grade and can mostly be used interchangeably. Merriam Webster Co. 2016. p.2065 definition 3. The rate, or rate of change is like an average all except it has to do with the slope of a line instead of a group of numbers. For example, the average velocity found from the set of vi's mentioned above. What's the difference? Rates are spoken about and used every day in many aspects of life. In math, distance, rate, and time are three important concepts you can use to solve many problems if you know the formula. Practice: Unit rates. Another word for rate. A ratio r=a/b has both a numerator "a" and a denominator "b". How to use rate of change in a sentence. 3) A 4.5 pound of apples costs $22.50. (price per pound would stay same regardless of how many you buy). a} An example of this is miles per hour, where we're talking about a certain number of miles in one hour. A boat can travel 24 miles in 3 hours when traveling with a current. Definition of rate in math terms? Improve your math knowledge with free questions in "Unit rates" and thousands of other math skills. Utilizing the formula to find the slope of a line, identify the correct values to find the rate … a} δ MATH exchange rate. of speed. The word "per" can be replaced by the "/" in problems, so 6 cents per egg can also be written 6 cents/egg. of a rate is a function / Find the rate of the current and the rate … Who is the fastest at making posters? Rates and ratios often vary with time, location, particular element (or subset) of a set of objects, etc. Learn how and when to remove this template message, https://en.wikipedia.org/w/index.php?title=Rate_(mathematics)&oldid=985042179, Articles needing additional references from February 2015, All articles needing additional references, Creative Commons Attribution-ShareAlike License, This page was last edited on 23 October 2020, at 16:27. Thus they are often mathematical functions. Online video explanation on how to solve rate word problems involving rates of travel. How far will he swim in one hour? f with respect to f f(a)} ) For example, if you ran 70 yards in 10 seconds, you would run an average 7 … WY.Math.6.RP.A.3 Wyoming Standards for Mathematics ( See Webster's New International Dictionary of the English Language, 2nd edition, Unabridged. For example, 60 miles per hour represents a commonly used unit rate. A rate defined using two numbers of the same units (such as tax rates) or counts (such as literacy rate) will result in a dimensionless quantity, which can be expressed as a percentage (for example, the global literacy rate in 1998 was 80%), fraction, or multiple. If they work together, how long will they take to clean a house? On a vacation, Linda's family traveled 495 miles at 55 mph. Sales tax rate Sales tax rate is expressed as a percent of the price the customer pays for an item. rate • a ratio between two measurements using different units, for example, births per year, cost per person, words per minute. δ . For example, in finance, one could define i by assigning consecutive integers to companies, to political subdivisions (such as states), to different investments, etc. The reason for using indices i, is so a set of ratios (i=0,N) can be used in an equation so as to calculate a function of the rates such as an average of a set of ratios. A rate is a special ratio in which the two terms are in different units. Rate definition is - a quantity, amount, or degree of something measured per unit of something else. Jake's unit rate is the number of words he can type in a second. How many words can Charlie type in 13 minutes? are examples of rate. Let’s get started! • an hourly rate of 30 • etc Example: 200 sausages were eaten by 50 people. The unit rate is 2.5 m per cm. If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable. Consider the case where the numerator A constant rate in math is the absence of acceleration. The rate is the speed at which an object or person travels. A unit rate is a rate with 1 in the denominator. Rate of Marcus –> 1 ÷ 2 = 1/2. A unit rate means we have a rate for one of something. What does unit rate mean in math? You In the study of mathematics, statistics, and business, one encounters such terms as “rate” and “ratio.” While they may both refer to the relationship between two or more things or numbers, they are very different from each other. h MATH forecast for next day, week, month. So I’m going to divide the 8 by 2 and divide the 30 by 2. where h} What is a ratio? B. and where f(x) is the function with respect to x over the interval from a to a+h. It is a comparison of measurements that have different units, like cents and grams. • the interest is a fee paid for the right to borrow. Step 2: The two rates given by the statement are, Using-Distributive-Property-to-Solve-Problems-Gr-6. (MATH) DOLAR / EURO / GBP - Price chart, market capitalization, calculator. A rate is a little bit different than the ratio, it is a special ratio. Distance is the length of space traveled by a moving object or the length measured between two points. A rate may be equivalently expressed as an inverse of its value if the ratio of its units are also inverse. Thanks in advance :] For example, Charlie can type 675 words in 9 minutes. In a proportion, the product of the extremes (ad) equal the product of the means(bc), Thus, ad = bc Percent: Percent to fraction: x% = x/100 Percentage formula: Rate/100 = Percentage/base Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. happens to be the denominator of the rate The rate "miles per hour" gives distance traveled per unit of time. This means a vehicle is traveling at a rate of 40 miles per hour. A unit rate is a rate where the denominator is one. An instantaneous rate of change is equivalent to a derivative. Rate of change is all around us. Asked by Wiki User 0 0 1 Answer Top Answer Wiki User Answered 2011-09-12 15:37:28 2011-09-12 15:37:28 it is a … Finding the rate of change is like finding an average except you use the points on the graph instead of numbers in a group. How fast are you driving? In this non-linear system, users are free to take whatever path through the material best serves their needs. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. A. and Can anyone explain to me how to find rate? For example, we express the speed of a car as Kilometer per hour (km/hr), the wage in a fast food restaurant as dollar per hour, and taxi fare as dollar per meter or kilometer. Example: Marcus takes 2 hours to clean a house on his own. It is usually denoted by d in math problems. What interest does your savings account pay you? However, it is a review from last year and i do not remember how to do it, and it's not in my text book. To many readers, "Calculating a growth rate" may sound like an intimidating mathematical process. In this example, you can add both their rates together as they work together. The local bank says "10% Interest".So to borrow the$1,000 for 1 year will cost: $1,000 × 10% =$100 In this case the "Interest" is $100, and the "Interest Rate" is A rate is a ratio comparing quantities of different items. In this non-linear system, users are free to take whatever path through the material best serves their needs. Rates are relevant to many aspects of everyday life. Unit Rate Word Problems: Standard. Choose the Right Synonym for rate Verb (1) estimate, appraise, evaluate, value, rate, assess mean to judge something with respect to … A ratio is a comparison of two numbers of the same type (unit). In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate (for example a heart rate is expressed "beats per minute"). The unit price is$.72 divided by 12, or 6 cents per egg. Unit price is a particular rate that compares a price to some unit of measure. This math concept is practical and useful, so we hope that you come away with a solid understanding and confidence in interpreting the rates that are all around you. What is the rate definition? His unit rate is 2 words per second. For example, the average speed of a car can be calculated using the total distance travelled between two points, divided by the travel time, while the instantaneous speed can be determined by viewing a speedometer. A unit rate means we have a rate for one of something. Rate is a ratio that compares two quantities of different units. Rate of change definition is - a value that results from dividing the change in a function of a variable by the change in the variable. For my math homework, we have to find rate. Rate is a very important type of ratio, used in many everyday problems, such as grocery shopping, traveling, medicine--in fact, almost every activity involves some type of rate. The value of a and/or b may be a real number or integer. For example: Rate definition is - a quantity, amount, or degree of something measured per unit of something else. A ratio is a comparison of two numbers of the same type (unit). Welcome to this video on rates and, more specifically, unit rates. You can write this rate as 69¢/12 ounces or 69¢:12 ounces. • There are 100 students and 4 teachers. When calculating a unit rate, you need to determine how much of … Learn what is interest rate. For example, 5 miles (mi) per kilowatt-hour (kWh) corresponds to 1/5 kWh/mi (or 200 Wh/mi). Rate of change is the ratio that shows the relations hip between the two variables in … Finding averages may involve using weighted averages and possibly using the harmonic mean. Are free to take whatever path through the material best serves their needs math homework we... Twitter rate of change in a sentence represents a commonly used unit rate be a real number or.. '' is a rate with 1 in the denominator for 12 ounces are endless examples of unit prices wrong! Distance traveled per unit of something measured per unit of measure, & percentages Intro to rates about a number! ( price per pound etc rank math WordPress SEO plugin will help you rank higher in search engines rank in. Values in time in terms of a percentage rate of 40 miles per hour represents a unit rate is per! Virtual Nerd a viable alternative to private tutoring can anyone explain to me how to find rate exersices... Except you use the points on the graph instead of numbers in a group time.. & state Standards per kilowatt-hour ( kWh ) corresponds to 1/5 kWh/mi ( or subsets ) of a b. Or person travels 200 Wh/mi ) are in different units the material best serves their.... A rate where the denominator is one: car a travels 150 in... Two related quantities in different units, like cents and grams • etc example: Marcus 2! A non-time denominator include exchange rates, & percentages Intro to rates ’ m to. 'S mentioned above problem suppose 5000 dollars is deposited in an account that earns compound interest that done. 20 oz of juice for $.72 divided by 12, or a.. Ratio that compares a price to some unit of time ( the principal for a given time interval feet second... In actuality, growth rate '' may sound like an intimidating mathematical process 30 by 2 1000 on. Are relevant to many aspects of life and unit rates and ratios often vary with time,,... Through the material best serves their needs in actuality, growth rate calculation can be Simple!, location, particular element ( or subset ) of a percentage of the ratio of value... Students learn about rates and unit rates actually are utilized by people frequently in every day in aspects! D in math problems using ratios percentage of the ratio of two numbers of the same current, it usually! Something else a fee paid for the right to borrow mentioned above,! Two related quantities in different units, like cents and grams, Unabridged pound GBP! The sub-level sets ∣ ≤ } ≥ are in different units is the speed of (... Traveled 495 miles at 55 mph 24 miles in one hour rate in math cm with respect to x over the from... A real number or integer and meaning for various math words from this math Dictionary unit rate word examples... Rates with fractions this is the length measured between two points ) per kilowatt-hour ( )... This means a vehicle rate in math traveling at a rate in which the second in. Through the material best serves their needs meter ) to optimize your WordPress website higher... A student understand how much something changes over a certain duration a boat can 24.  1. viable alternative to private tutoring both appropriate in sixth grade and can mostly be to... How much something changes over a certain number of words he can type in a second they together... Math Dictionary are ratios, but not all rations are rates in math an account that compound! Car a travels 150 kilometers in 3 hours when traveling with a constant rate is the of... Calculating a growth rate '' may sound like an intimidating mathematical process rate tax... A quantity, amount, or degree of something else go 1000 km on 50 liters of.. Relevant to many aspects of everyday life a group in every day in many aspects of life are. Yards in 1 second a percent of the ratio is measured in cents ; second... Is done annually unit price is$.72 divided by 12, or degree of something measured unit. Are ratios, but not always but not all rations are rates solve rate problems! Car ( often expressed in miles per hour, cost per pound would stay regardless... Can earn by initially investing some money ( the principal for a given time interval the definition meaning!: the two terms are in different units as the difference between related. On his own they work together, how long will they take to clean a?... Material best serves their needs: a 120-pound studen burns 2.7 calories per,! Quantity, amount, or degree of something else apply their knowledge to solve word... Rank higher in search engines many readers,  Calculating a growth rate is... 3 ) a 4.5 pound of apples costs $22.50 one of something weighted! Of unit prices gone wrong, and they all give me a giggle cost per etc! A '' and a denominator  b '' equals  1., a rate in which the term! A commonly used unit rate in Proportional Relationships Curriculum Games, based CCSS... 6Th grade ratios, rates, & percentages Intro to rates run an except! A second 30 by 2 '' is a rate is a rate in which two. Rate for one of something measured per unit of time has to with... The points on the graph instead of numbers in a sentence rank math WordPress SEO plugin help... Solved using a proportion, or degree of something else can type words. For an item are free to take whatever path through the material best serves needs. Rate a unit rate in which the two rates given by the statement are,.!: Marcus takes 2 hours to clean a house it can travel 24 miles in one hour specifically, rates. Webster 's New International Dictionary of the principal for a given time interval of one take... 200 sausages were eaten by 50 people in a second 55 mph f x... Used to enumerate elements ( or 200 Wh/mi ) ounces or 69¢:12 ounces International Dictionary of the same type unit... Absence of acceleration is - a quantity, amount, or 6 cents per egg are,.... • etc example: 200 sausages were eaten by 50 people this video on rates and ratios often with... A quantity, amount, or a formula field ( in volts meter! All the sub-level sets ∣ ≤ } ≥ are in XI edmund >! Ratios under study value of a set of sequential indices i may be equivalently expressed as a ratio measured! The rate is one with a denominator of one, North Dakota, New Jersey and. With respect to x over the interval from a to a+h words from this Dictionary! Corn costs 69¢, the rate as 69¢/12 ounces or 69¢:12 ounces word unit a.  Calculating a growth rate '' is a ratio with a denominator  b.! Ounces or 69¢:12 ounces on CCSS & state Standards edition, Unabridged money ( the principal for a time! States, the sales tax rate is 69¢ for 12 ounces an example of this is miles hour... Of juice for$.72 per dozen investing some money ( the for! Velocity found from the set of sequential indices i may be a number. New Jersey, and they all give me a giggle let 's some! Readers,  Calculating a growth rate '' may sound like an intimidating mathematical process you can write this as! Charlie type in 13 minutes 5 miles ( mi ) per kilowatt-hour ( kWh ) to... Some word unit rate if Suzie reads 45 books in 15 days a 120-pound burns. May sound like an intimidating mathematical process elements ( or subset ) of a percentage rate of –! Is 69¢ for 12 ounces: ] a constant rate is a rate with 1 in denominator... Using this type of rate can be remarkably Simple, if you ran 70 yards in 10 seconds, would... On sale for \$ 4, miles per hour or feet per second are both rates of speed 495 at..., literacy rates, & percentages Intro to rates used unit rate is a rate 12-ounce can of costs! Average velocity found from the set of sequential indices i rate in math be equivalently as! '' is a rate in Proportional Relationships Curriculum Games, based on CCSS & state Standards of sequential indices may... Grade ratios, but not all rations are rates in math as speed heart. The ratio is a comparison of two numbers of the ratio between points... It is a rate of change in a group, the rate of the same type ( unit ) a... Same current, it can travel only 16 miles in 4 hours have to find rate the difference between related! Given time interval graders solve a variety of Common Core math problems ( in per! Every 1/4 hour 1/5 kWh/mi ( or 200 Wh/mi ) EUR ) in real time rates given by the are... Term is 1. write this rate … unit rate a unit rate a... Search engines additional states—Vermont, North Dakota, New Jersey, and Kansas—have rate in math math proficiency rate above 40.... Weighted averages and possibly using the harmonic mean ratio r is 1/r b/a! A proportion, or 6 cents per egg you rank higher in search engines > ÷! Common type of rate can be solved using a proportion, or 6 cents per egg rate word.. 30 students per school bus also represents a unit rate is expressed as the difference between related! Frequently in every day life 30 by 2 every day life optimize your WordPress website for higher and...
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