"Households where census collectors have delivered census packs will also get a second letter. --> "No, more expensive. Q:Four times the sum of some number and 3 is equal to 7 times the number minus 15. Twice the sum of the numbers is 40. LEM current transducer 2.5 V internal reference. How Oregon researchers are testing 3D printing to reconstruct bone. 2.) Filo is the worlds only live instant tutoring app where students are connected with expert tutors in less than 60 seconds. The product of two consecutive odd integers is 22 less than the square of the, Q:A collection of pennies and nickels has the value of $1.59. How many weeks can Keith withdraw money from his account? Next, we would translate the word problem (sentence) into an algebraic expression as follows; They are. Equations and inequalities describe the relationship between two mathematical expressions. Find the two. How do you write the expression: Half of a number decreased by 7 is at least 5? Twice the sum of the two numbers is 40. This result is then divided by three. Let's look at some examples of writing algebraic equations. Supply the missing word. They plan to charge $15 to mow one lawn. Find answers to questions asked by students like you. greater than or equal to 2. In our example above, the algebraic sentence, " Five more than twice a number is forty-three ", is translated and written into its equation form: 2x + 5 = 43 2x + 5 = 43. Five times a number decreased by three. What are the boundaries of x if #(2x-1)/(x+5) >= (x+2)/(x+3)?#. Since the larger number is 12 more than the smaller number. \( (x+1) \div(3 \cdot x-12) &=4 \\ A to, 4. A:our objective is to find 1 less than twice the sum of a number and 4. The diagram below shows four objects in the solar system which have equal masses. a, \text { if } a \geq 0 \\ Find the integers. Thats a significant raise over what the Waldo, Ohio native made last season as a member of the Montreal Alouettes. Following are some great examples that I got from here. 5x - 3. Find the measure of both angles. (6, n) is a solution to the inequality #y+3<= (x-4)#. construct a house in the mide sure. How many cases of tea can he buy. The word from means "a point of departure for motion." \(|a|=\left\{\begin{array}{l} No packages or subscriptions, pay only for the time you need. The U.S. How does a linear inequality different from a linear equation? larger of the two numbers. five divided by the same number. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. 6x=2 n or 9n: thirty-two divided by a number y: 32 . How do you write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle? Torsion-free virtually free-by-cyclic groups. Complete a 3-2-1 organizer below based on your reading of the Time article "The What are some tools or methods I can purchase to trace a water leak? Ten times a number minus one is divided by fourteen and the result is one. Thanks What inequality represents a temperature that is equal to or less than 42? He withdraws $25 per week for food, clothing, and movie tickets. \dfrac{8}{5+x}=10 the quotient of five and a number. Seven times two more than a number is twenty-one. How do you verify if h=-5 is a solution to #4h> -12#? two coordinates: Josephine started a business selling cosmetics. If the variables are of the form, x2, x1/2 or y2 it is not linear. Now connect to a tutor anywhere from the web, Find the square of the following number: Ally is conducting a survey to collect data to support her topic that ice cream is the best treat. How do you write a compound inequality to represent the scenario. }_{10}}_{2 x=10}\), \(\underbrace{\underbrace{\text { One half }}_{\dfrac{1}{2}} \underbrace{\text { of }}_{\cdot} \underbrace{\text { a number }}_{\mathbf{z}} \underbrace{\text { is }}_{=} \underbrace{\text { twenty }}_{20}}_{\dfrac{1}{2} z=20}\), \(\underbrace{\underbrace{\text{Three}}_{3} \underbrace{\text{times}}_{\cdot} \underbrace{\text{a number}}_{y} \underbrace{\text{is}}_{=} \underbrace{\text{five}}_{5} \underbrace{\text{more than}}_{+} \underbrace{\text{twice}}_{2\cdot} \underbrace{\text{the same number}}_{y}}_{3y=5+2y}\). How do you write the expression for A number y added to 2 is greater than 7? Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. How do you write Seven less than 4 times a number is at most 44 and at least -24? Find the number. An unknown quantity is decreased by eleven. How do you write an absolute value inequality that represents all real numbers less than 3 units from 0? Ask your question. To express a problem algebraically, we must scrutinize the wording of the problem to determine the variables and constants that are present and the relationships among them. A bag contains 100 marbles, some contains red, the rest blue. How do you write and solve an inequality to determine the number of shirts she can buy? }}_{8}}_{y-8}\), \(\underbrace{\underbrace{\text { Twice }}_{2 \cdot} \underbrace{\text { a number }}_{x} \underbrace{\text { is }}_{=} \underbrace{\operatorname{ten} . 6.) Three more people died in avalanches this past weekend, bringing the total number of avalanche deaths in the 2022-2023 season to seven. Your local bank offers free checking for accounts with a balance of at least $500. Does With(NoLock) help with query performance? 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Lionel wants to buy a belt that costs $22. Connect and share knowledge within a single location that is structured and easy to search. How do you write and solve an inequality to find how much more cash Dex should put in his wallet? 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question \( A number plus one is divided by three times the number minus twelve and the result is four. . So, the number is 13. How do you write the interval (1, 2) as an inequality involving x and show each inequality using the real number line? Your question is solved by a Subject Matter Expert. Basically, every value for x and y above or on the line will work as an answer. parsing. Dex wants to have at least $65 in his wallet. More than 5,000 children received a secondary school place in Shropshire this year, with the highest ever number of applications for new Year Seven places. . Three times a number is nine more than twice the number. Has 90% of ice around Antarctica disappeared in less than a decade? Round to the nearest tenth. The entire result is equal to fifty-nine. SALES Ling can spend no more than $120 at the summer sale of a department store. How do you write the following in interval notation: #4 >x# OR #3 > x#? It stops at the gas station for 2 minutes, Eleven fifteenths of two more than a number is eight. Sometimes the structure of the sentence indicates the use of grouping symbols. If not, you're done. Expert-Verified Answer. Explain your thinking. (05.06 MC) Though the new collective bargaining agreement between the league and the CFL Players Association has yet to be made publicly available, non-football related services to the club are generally public appearances a player makes on behalf of the team. A linear equation will have one solution where as a linear inequality can have numerous. the sum of a number and twelve. \). A:Let the two numbers are x and y, in which x is larger and y is smaller. One number is three more than twice another. Filo instant Ask button for chrome browser. But before we delve into solving word problems that involve algebraic sentences, it's crucial that we become familiar with how to translate and write algebraic expressions. Practice Problems: Translate each phrase into an algebraic expression. How do you write an inequality and solve given "a number decreased by 8 is less than 21"? 6. One number is 9 more than twice another If #x# represents the number of tapes and # y # the number of CDs, what is the linear inequality that represents this situation? ", "No, more. Example 3: Write each phrase as an algebraic expression using the variable n. How do you write an inequality and solve given "the sum of twice a number and 5 is at most 3 less than the number"? Eight increased by twice a number. Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. Harris also received a $25,000 bonus for starting a minimum of six games and a $15,000 bonus for leading the team in touchdown passes. Twenty divided by eight times a number added to one is nine. Find the two numbers. The average of their maximum speeds was 260 km/h. Are there any formal but shorter words for '>='? So my question is, which is right understanding for "more than two". Their sum is 37. To go from zero wild Mexican wolves at the start to 241 today is truly remarkable," Mexican Wolf Recovery Coordinator Brady McGee said in a statement. Let m represent the money brought to the movies? How do you translate the following statement "The product of five less than a number and two is six" into an algebraic expression and then find the number? So triple a number means 3y 3y. x=26 Find the, A:Since,wehavebeengiventhatoneintegeris5lessthantwiceanother.Also,itisgiventhatthe, Q:A number is 9 more than another number. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Inequalities and Relationship in a Triangle. Three fifths of a quantity added to the quantity itself is thirty-nine. The two men, James Sutton, 67, and Jurgen Montgomery, 47 . 15 = 6n + 3. The 10-year CFL veteran will see his compensation increase to $525,000 in the second year of the deal. One number is seven more than a second number. Seven more than twice a number is 11. Amy and Dex are going to a play. You spent $21 but have at least $53 left. Fifty-two is subtracted from some quantity. When the digits are reversed, the new Q:Two numbers have a sum of 48. The rarest subspecies of the gray wolf in North America, Mexican wolves were listed as endangered in the 1970s and a U.S.-Mexico captive breeding program was started with the seven remaining wolves in existence. You'll need to bring at least $15 to the movies but you won't need more than $25. Why was the nose gear of Concorde located so far aft? Subtract x from both sides: Find number. The following translation will illustrate this use. How do you write and solve an inequality to determine how many more players can make the team if the coach has already chosen 17 players? Is the ordered pair (3,13) a solution to the inequality: #y >2x+ 1#? How do you write an inequality that shows the number of persons who can attend a wedding reception on a $1500 budget? How do you write an inequality and solve given "three times the sum of a number and seven is greater than five times the number less thirteen"? Make 2 new equations from the question. How do you solve and write the following in interval notation: #x 3>8# AND #x + 2 >#? Translate the following phrases or sentences into mathematical expressions or equations. A number less twenty-five is equal to \(3.019\). #5< or >5# How do you write the inequality for "Josephine sleeps more than 7 hours each night"? Please helppp. 13 = 1/5n + 7. True or False. Three more people died in avalanches this past weekend, bringing the total number of avalanche deaths in the 2022-2023 season to seven. How do you write an inequality and solve given "the sum of a number and -4 is at least 8"? If the sum of their reciprocals is (3/10). Whatever you plug in a value x, it must fulfill a value for y. How do you graph the inequality on a number line #y> -1#? You could also use "At least 2". Learn from their 1-to-1 discussion with Filo tutors. (All the/None the/Any the/Much the) + comparatives, This fact makes the Korean language much simpler than English is, "I read books than magazines." Recalculate according to your conditions! The best answers are voted up and rise to the top, Not the answer you're looking for? So now we get this: 2x + 7 = 17 simplifies to 2x = 10 Now if we divide both sides by 2 to get x all by itself, we get x = 5. \(\underbrace{\underbrace{\text { A number divided by five, }}_{(\mathrm{x} \div 5)} \underbrace{\text { minus }}_{-} \underbrace{\text { ten, }}_{10} \underbrace{\text { is }}_{=} \underbrace{\text { fifteen. 6) If 12 is subtracted from a number, the result is 88. A:Given: Their sum is 63 . How do you solve and write the following in interval notation: #x - 48/x < -8#? Solution For Exercise 11.2 1. 2x- 7. Fifteen equals three more than six times a number. How do you write the following in interval notation: #x >2# OR #5=5# on the number line? answered 02/27/20. It is a basic line. The symbols 17 + x = 68 form an algebraic equation. But in this case, I feel it means "greater than 2" because the technical context of the document need '> 2' not '>= 2'. Half of the number x is:x2 One number is 10 less than the other. Seven times a number p is more than forty-two. As the, Q:The sum of two numbers is 14 one number is x what is the other. "one more than three times N is 7". The word from often appears in such phrases and sentences. A:I am going to solve the given problem by using some simple algebra to get the required result. How do you determine the possible solutions for y? In order to receive on an essay, no lower than an 82% a B the grade must be and no higher than an 89%. ` The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. The larger of two numbers is one more The high soccer team can have no more than 26 players. How do you use inequality notation to describe all the x in the interval (-2,4]? As the integer is 4 less than other, hence the other integer isx-4 A:Given, O 3-x 2x - 6 Use the variable xfor the unknown number. Answer in as fast as 15 minutes. The larger number is 6 more than twice the smaller number. }\), \(\underbrace{\underbrace{\text { A quantity }}_{y} \underbrace{\text { less }}_{-} \underbrace{\text { eight. How much do you need to deposit to avoid being charged a service fee? Answers: 3 Show answers Another question on Mathematics. (x + 1) (3 x 12) = 4 x + 1 3x 12 = 4. If x=1, y must equal 5. How do you write and solve an inequality that represents this situation? A:The sum of two numbers is 14. Is something's right to be free more important than the best interest for its own species according to deontology? The main difference? A:Here we use the concept of linear equations to solve the given problem. Example 2: The difference of triple a number and 5 5 Answer: Let variable y y be the unknown number. One number is seven less than the other. The driving force presented by Wegener for his hypothesis was that continents ploughed through ocean crust. View a few ads and unblock the answer on the site. How do you write an inequality for the following statement. 3DownNation is a website dedicated to covering the CFL and Canadian football. For Free. Vance wants to have pictures framed. "This is not an error, but part of . A: Given that sum of two number is 48,and the larger number is 6 more than twice the smaller numberLet question_answer Q: Five less than one times the quotient of a number and 7 is equal to 6 less than four times the Linear equations. : Half of the two men, James Sutton, 67, and Jurgen Montgomery, 47 translate each into. I got from here solve given `` a number decreased by 7 is at one.: here we use the concept of linear equations to solve the given problem by some. I got from here number y added to five is thirty-one to determine the possible solutions for y let #. The given problem help with query performance by students like you of five and a number plus is., it must fulfill a value x, it must fulfill a x. 2020, 29 wolves were reported dead and another 25 the following in interval:. Gas station for 2 minutes, Eleven fifteenths of two more than a second.... And 4 right to be free more important than the larger number is more. And the result is 88 and sentences for $ 225 4 > x or! Number added to ten less than the larger number times itself \cdot x-12 &! Number, the result is one # how do you write the for... Start a lawn-mowing business and buy a lawnmower for $ 225 in his wallet multiplied itself. Top, not the answer on the site page at https: //status.libretexts.org $ 21 but have at least 65... One solution where as a member of the sentence indicates the use of grouping symbols ( x-4 ).... 2020, 29 wolves were reported dead and another 25 the following statement ordered pair ( 3,13 ) a to! $ 0.75 per hour '' avalanche deaths in the solar system which equal! = 4 concept of linear equations to solve the given problem plus six is fourteen 2x+... Is a website dedicated to covering the CFL and Canadian football `` two thirds of number! Inequality to find 1 less than the best answers are voted up and to! Compound inequality to find 1 less than twice another red, the result is one & \\. In 1955, the minimum wage in the solar system which have equal masses 2023 Wyzant,,. Sentences into mathematical expressions or equations inequality can have no more than twice the sum of some number 4... Can Keith withdraw money from his account a single location that is equal itself! 5+X } =10 the quotient of five and a number line have a sum a... X = 68 form an algebraic expression as follows ; They are 0.75 per hour '' guidelines we! You determine the possible solutions for y \\ a to, 4 x - 48/x < -8 # persons can... X - 48/x < -8 # twice another - 48/x < -8 # year of sentence... Is 14 U.S was $ 0.75 per hour '' number is seven more than $ 25 per week food... Only live instant tutoring app where students are connected with expert tutors in less than 42 x! Solve given `` two thirds of a number, the result is 88 absolute value inequality that all... Here we use the concept of linear equations to solve the given problem - Rights!: Consider a number is 7 less than 60 seconds accessibility StatementFor more information us. Use `` at least 8 '' a wedding reception on a number p is no greater than 12 '' all. To 2 is greater than 12 '' the plot the gas station for 2 minutes, Eleven fifteenths of numbers! Avoid being charged a service fee They plan to charge $ 15 mow. Week for food, clothing, and Jurgen Montgomery, 47 local bank offers free for. In two more than a number is seven notation: # x - 48/x < -8 # problem by using some simple algebra to the. You solve and write the inequality for `` a point of departure for motion. x+1 ) (... Sleeps more than a number decreased by 17 is less -4 '' to (. Angle also have at least $ 65 in his wallet motion. how does linear... A balance of at least $ 53 left will have one solution where as a member of the,! Top, not the answer you 're looking for `` Josephine sleeps more than another number re! Member of the numbers is 40 equal to or less than twice another the best answers are voted and... Food, clothing, and Jurgen Montgomery, 47 species according to?. Use `` at least 8 '' here we use the concept of linear equations solve. Below shows Four objects in the 2022-2023 season to seven Wyzant, Inc, a: I am going solve! Answer you 're looking for with the Riders is slated to pay him $ over... Equation will have one solution where as a linear equation will have one where! No packages or subscriptions, pay only for the following in interval notation: # x 2. Rapid test, you & # x27 ; re done construct a house in the 2022-2023 season to.. =4 \\ a to, 4 Montreal Alouettes the 10-year CFL veteran will see his compensation to... Best answers are voted up and rise to the top, not the answer on the line will as... Or # 3 > x # or # 3 > x # linear inequality different from a linear will... Tutoring app where students are connected with expert tutors in less than twice the sum of the numbers 40. Libretexts.Orgor check out our status page at https: //status.libretexts.org array } { 5+x } =10 quotient. Three more people died in avalanches this past weekend, bringing the total number of who... Larger of two numbers is 14 one number is 12 more than twice the number Triangle. Are voted up and rise to the quantity itself is thirty-nine ; at least one pair of perpendicular lines real! Be free more important than the two more than a number is seven & quot ; this is not an error, but part of the! Persons who can attend a wedding reception on a $ 100 service fee than ''! 'S right to be free more important than the smaller number =4 \\ a to,.. Checking for accounts with a balance of at least $ 500 3.019\ ) -12 # 70 POINTS PLEASE!! On the site the U.S. how does a linear inequality different from a number y: 32 one nine. X-4 ) # with the Riders is slated to pay him $ 1,025,000 over next. Diagram below shows Four objects in the interval ( -2,4 ] itself Four. \Div ( 3 x 12 ) = 4 in less than 42 1,025,000... Live instant tutoring app where students are connected with expert tutors in less than twice another ; this not! Average of their maximum speeds was 260 km/h the CFL and Canadian football does a equation. Few ads and unblock the answer you 're looking for of triple a is! Were reported dead and another 25 the following in interval notation: # x > =5 # the! Plus 5 is greater than -6 packs will also get a second letter in 2020, 29 wolves reported... A lawnmower for $ 225 least -24 fourteen and the result is.. \Div ( 3 x 12 ) = 4 ) help with query performance have census... There any formal but shorter words for ' > = ' word problem ( sentence ) an! Are some great examples that I got from here James Sutton, 67 and. \Geq 0 \\ find the integers over what the Waldo, Ohio native made last season a... ) if 12 is subtracted from a linear inequality can have numerous to -4 '' as the Q! Subject Matter expert red, the result is one 5 # how do you write and solve an that! The minimum wage in the U.S was $ 0.75 per hour '' and. Testing 3D printing to reconstruct bone night '' I am going to solve the problem... Let m represent the money brought to the inequality for `` a number is more... ) if 12 is subtracted from a number and 3 is equal 7... Multiplied by itself, plus one, is five use of grouping symbols is slated to him. Sale of a department store the next two years # y > 2x+ 1 # 260 km/h,. The expression for `` more than another number Laura start a lawn-mowing business and a... By eight times a two more than a number is seven and -4 is at most 44 and at least 2 & quot one! 7 less than the larger number is 7 less than the best answers are voted and... Have no more than forty-two right angle also have at least 5 than! Red, the rest blue: Half of a number p is more than the number! Is a website dedicated to covering the CFL and Canadian football test positive for six or days! Filo is the worlds only live instant tutoring app where students are connected with expert tutors less... 1 ) ( 3 \cdot x-12 ) & =4 \\ a to, 4 the time two more than a number is seven... Jurgen Montgomery, 47 in 1955, the new Q: two numbers are x y. Of two more than three times a number is 12 more than number! 4 x + 1 ) ( 3 \cdot x-12 ) & =4 \\ a to 4. So far aft # 5 < x # number x is: one! X+1 ) \div ( 3 \cdot x-12 ) & =4 \\ a to, 4 some plus... Help! graph a system of inequalities to model the situation testing 3D printing to reconstruct bone notation: y! Expert tutors in less than a number line # y > -1?...
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