6.) Q:Two less than three times a number is seven more than twice the number. \end{aligned} What are the, Q:One positive integer is 5 less than twice another. Supply the missing word. How do you write an inequality and solve given "the sum of a number and -4 is at least 8"? How do you write the following in interval notation: #x >2# AND #5 >x#? -a, \text { if } a<0 Answer: Let variable x x be the unknown number. Nate has scores of 85, 91, 89, and 93 on four tests. 8 + 2x. Half of the number x is:x2 Twice the sum of the two numbers is 40. Be a part of it. At least how many blue ones are in the bag? An unknown quantity is decreased by eleven. Mamp . Eight less than three times a number is -23. Which graph best represents the solution set for the inequality #x>sqrt2#? To help us translate verbal expressions to mathematics, we can use the following table as a mathematics dictionary. --> "No, more expensive. How do you express intervals as inequalities such as [-2,9]? Three times a number is nine more than twice the number. "Households where census collectors have delivered census packs will also get a second letter. First, we subtract 7 from both sides. 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? Still, he described growth over the last year as stunning. You want to decorate a party hall with a total of at least 40 red and yellow balloons, with a minimum of 25 yellow balloons. He earned $233,111.20 last year while completing 71.6 percent of his passes for 4,157 yards with 20 touchdowns and 12 interceptions, his best yardage and touchdown totals since 2018. The U.S. By every possible measure, progress was made," he said, pointing to 31 breeding pairs that produced 121 pups, about two-thirds of which survived to the time of the count. How much do you need to deposit to avoid being charged a service fee? We've added a "Necessary cookies only" option to the cookie consent popup. Ten increased by the quotient of a number and 6 is 5. The work is done over the winter when the population is most stable. Find the value of the smaller number. In the equation #x+y=5#, the value for x is a whole number greater than 2 but less than 6. The sum of two numbers is 10. How do you write the following in interval notation: #x>3# and #x 7#? }\), \(\underbrace{\underbrace{\text { A quantity }}_{y} \underbrace{\text { less }}_{-} \underbrace{\text { eight. Thanks a lot. Three more people died in avalanches this past weekend, bringing the total number of avalanche deaths in the 2022-2023 season to seven. So my question is, which is right understanding for "more than two". Q:The larger of two numbers is 12 more than the smaller number. The entire result is fifteen. How do you write an inequality and solve given "twice a number is more than the sum of that number and 9"? Two more than the product of a number and 8 is equal to 4. A number minus five is divided by twice the number plus three and the result is seventeen. Linear equations. For Free. He has $80. How do you write an inequality and solve given "seven tenths of a number plus 14 is less than forty nine"? Jordan's line about intimate parties in The Great Gatsby? Get an expert answer. He wants to have at least $200 at the end of the summer. One number is 4 less than the other. Then the number formed is10x+y And millions of other answers 4U without ads. is very succinct and clear, you could also use, to mean ">= 2", it does not need to be entirely spelled out as. Let m represent the money brought to the movies? 15 = 6n + 3. She wants to buy shirts on sale for $15 each. If she makes 1/3 pounds servings using this amount of lasgana, how many servings can she make? 1. Officials said the additional collars will help them gain a better understanding of wolf activity and help with on-the-ground management. Seven times a number p is more than forty-two. 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. The survival rate for pups in their first year is typically around 50%. If the variables are of the form, x2, x1/2 or y2 it is not linear. x=13 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 W How do you graph an inequality on a number line? 5: Solving Linear Equations and Inequalities, { "5.01:_Objectives" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.02:_Solving_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.03:_Solving_Equations_of_the_Form_ax__b_and_x_a__b" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.04:_Further_Techniques_in_Problem_Solving" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.05:_Application_I_-_Translating_from_Verbal_to_Mathematical_Expressions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.06:_Application_II_-_Solving_Problems" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.07:_Linear_Inequalities_in_One_Variable" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.08:_Linear_Equations_in_Two_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.09:_Summary_of_Key_Concepts" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.10:_Exercise_Supplement" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "5.11:_Proficiency_Exam" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Arithmetic_Review" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Basic_Properties_of_Real_Numbers" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Basic_Operations_with_Real_Numbers" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Algebraic_Expressions_and_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Solving_Linear_Equations_and_Inequalities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Factoring_Polynomials" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Graphing_Linear_Equations_and_Inequalities_in_One_and_Two_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Rational_Expressions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Roots_Radicals_and_Square_Root_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Quadratic_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Systems_of_Linear_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12:_Appendix" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 5.5: Application I - 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Where should Ally conduct her survey to avoid bias 70 POINTS PLEASE HELP!! A:Firstly we make the equation according to the question and then we solve it for unknown value by, Q:The product of two consecutive odd integers is 22 less A:our objective is to find 1 less than twice the sum of a number and 4. Ten times a number is eight more than five times the same number. Notice that since the phrase "three times the number minus twelve" does not contain a comma, we get the expression $3 x-12$. The entire result is equal to six. A number is added to six and that result is multiplied by thirteen. Environmental groups celebrated the numbers but cautioned on Tuesday that more work needs to be done to improve genetics among the wild population and that the U.S. I have more houses than "you" or "yours"? The lunch lady has 12 pounds of lasgana. Osborn has tasted more than 15,000 bottles of wine and says a good bottle is typically priced between $30 and $60. Q:Four times the sum of some number and 3 is equal to 7 times the number minus 15. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question The 10-year CFL veteran will see his compensation increase to $525,000 in the second year of the deal. Green said that in trainings, they teach people to travel through hazardous areas one at a time. Translate the sentence into an equation. Thanks "If everybody's caught in the same avalanche, the chances of a bad outcome go up very quickly," he said. Thirty-seven is five less than the product of what number and three? How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"? Greene said that in addition to knowing how to be prepared while in the backcountry, checking the avalanche forecast constantly is key. Find answers to questions asked by students like you. 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. As the, Q:The sum of two numbers is 14 one number is x what is the other. Their sum is 63 . An unknown quantity is subtracted from eleven and the result is five less than the unknown quantity. Fifteen equals three more than six times a number. #5< or >5# Dex wants to have at least $65 in his wallet. Jandelle C. Make 2 new equations from the question. A quantity multiplied by seven plus twice itself is ninety. Two more than twice a number is one half the number less three. 2. the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. How do you write a compound inequality to represent the scenario. They are. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. How do you write Seven less than 4 times a number is at most 44 and at least -24? Twenty-three is divided by two less than twice some number and the result is thirty-four. Why was the nose gear of Concorde located so far aft? Upvote 0 Downvote Add comment Report Still looking for help? 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. What are the possible values of x . the equation that could be used to find. 2x- 7. }}_{15}}_{\dfrac{x}{5}-10=15}\), \(\begin{array}{c} Find the numbers. (x+1) \div(3 \cdot x-12) &=4 \\ But #3x+4>7 => x>1# every number larger than one is a correct solution. Is the ordered pair (3,13) a solution to the inequality: #y >2x+ 1#? EXPLAIN CONSERVATION OF MOMEMTUM WITH THE HELP OF COLLISION OF TWO OBJECT. Write the recursive formula for the arithmetic sequence below. 6) If 12 is subtracted from a number, the result is 88. You could also use "At least 2". number. One more than two times a number. 7) Twice a number increased by 3 is 23. A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. This result is then divided by three more than the number. The average of their maximum speeds was 260 km/h. The information in this article is current as of the date listed, which means newer information may be available when you read this. To find a good deal, look for wine from a place off the beaten path. Fajardo made $467,000 in hard money last season along with $14,000 in playtime bonuses, bringing his total compensation to $481,000. 2n + (-7) + 8 = -n + 16 - 16 greater than the opposite of the number is the same as saying -n (opposite of number) + 16 (16 greater than). twenty less than a number. A:Given that, four more than a number equals the sum of seven and 12. In all, at least 241 of the predators were counted, marking a nearly 23% increase over the previous year and a doubling of the population since 2017. How do you solve and write the following in interval notation: #7 x + 4# OR #x 3 <2#? You have $60 to buy fish for a 30-gallon aquarium. y = 2x + 3. The contract included a number of playtime incentives he was able to unlock after taking over the starting role in Week 3. Two ninths of a number is eleven. o 3, -3o 6,629,-936, 36. One number is seven less than the other. He withdraws $25 per week for food, clothing, and movie tickets. How do you graph the inequality on a number line #y> -1#? number is, A:Given,Thesumofthedigitsofatwo-digitnumberis10. The best answers are voted up and rise to the top, Not the answer you're looking for? \) Whatever you plug in a value x, it must fulfill a value for y. 5. Life is so much more beautiful and complex than a number on a scale. This is represented by a line starting from #2#, and extending indefinitely (marked by an arrow head). Then the quotient of number and 7 isx7, Q:The sum of 3 numbers is 40. The sum (use plus symbol) of twice a number and 3 3 can be written as 2x+3 2x + 3. so the, Q:4. A number is subtracted from ten and that result is multiplied by four. The quotient of four (4) more than a number (n) and seven (7) is ten (10) equals: Let the number be n. In Mathematics, quotient literally means dividing a particular number by another number i.e the division of two (2) numbers. Let x be the number so we can write the equation: Q:Two numbers have a sum of 48. Are there any formal but shorter words for '>='? How do you solve and write the following in interval notation: #x / 2 -3# AND #x 5<2#? Using graphs to solve inequalities. Find, A:Given information: Which integer satisfies this inequality? Solution For Exercise 11.2 1. Inequalities represent a range of values, rather than a single value. What is the, Q:The sum of a number and 6 is 8 more than twice the number Notice that since the phrase "three times the number minus twelve" does not contain a comma, we get the expression $3 x-12$. An exponent records the number of identical in a multiplication. A:Given, Write the algebraic definition of the absolute value of the number \(a\). Q:The product of some negative number and 5 less than twice that number is 375. Identify an inequality that represents how many more buckets z of fish the whale needs to eat? A killer whale has eaten 75 pounds of fish today. But on La Manga Pass in the San Juan Mountains, a snowmobiler was with a group of four others when he was also caught in an avalanche on Saturday. "No, more than that." Find the measure of both angles. How do you write the following in interval notation: #4 >x# OR #3 > x#? A number divided by two more than itself is zero. Answers: 3 Show answers Another question on Mathematics. The Saskatchewan Roughriders made Trevor Harris one of the highest-paid players in the CFL when free agency opened on Tuesday, Feb. 14. 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. Making educational experiences better for everyone. You have $47 to spend at the music store. Legal. What's the difference between a power rail and a signal line? 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. Q:3. A link to the app was sent to your phone. What is the difference between the predicted value and the actual value . A number divided by ten, plus four, results in twenty-four. Find the numbers. Find the, A:We have to find two consecutive numbers when their product is54 more than the larger of the two, Q:The product of two consecutive integers is 19 more than their sum. Twelve divided by twice a number is fifty-five. One number is six more than another. "Alice bought 12 apples, 1 banana and 6 cantaloupes": Should the numbers be written with letters or digits? Aftermath." Filo instant Ask button for chrome browser. E.g. One number is seven more than a second number. The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. (x + 1) (3 x 12) = 4 x + 1 3x 12 = 4. This would mean #x# can be any value greater than #2#, not including #2#. Hugh has to earn at least $400 to meet his fundraising goal. Josephine started a business selling cosmetics. 3n - 8 = -23. Each frame and mat costs $32 and he has at most $150 to spend. The difference between twelve and two-thirds of a number is 18. Twice a number added to six results in thirty. The Valley Inn charges $17.50 per person and a $100 service fee. In 2020, 29 wolves were reported dead and another 25 the following year. (18, 80, 82), A cylindrical tube, open at both ends, is made of metal. Connect and share knowledge within a single location that is structured and easy to search. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. n or 9n: thirty-two divided by a number y: 32 . Translate the following phrases and sentences into mathematical expressions or equations. The number of endangered Mexican gray wolves roaming the southwestern U.S. has topped 200 for the first time since reintroduction efforts began more than two decades ago. Let's see some examples to understand better. Torsion-free virtually free-by-cyclic groups. The word from often appears in such phrases and sentences. \(\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. Predator eradication programs began in the late 1800s and within several decades, the wolves were all but eliminated from the wild. If the sum of the mumbers is 285, find the, Q:The sum of the digits of a two-digit number is 10. So triple a number means 3y 3y. The point (0, 4) is a good answer, because: Because this is #y<=f(x)#, every value of x and y below or on the line will work as an answer. numbers. How do you write an inequality and solve given "the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number"? If the sum of the numbers is 129, find Whatever you plug in a value x, it must fulfill a value for y. How do you tell whether the given value r=8 is a solution to #r-3<=9#? Is 3 a possible value for n? Filo is the worlds only live instant tutoring app where students are connected with expert tutors in less than 60 seconds. \underbrace{\text { Eight }}_{8} \underbrace{\text { divided by }}_{\div} \underbrace{\text { five more than a number }}_{(5+x)} \underbrace{\text { is }}_{=} \underbrace{\text { ten }}_{10} \\ One tenth of a number is that number less one. Has 90% of ice around Antarctica disappeared in less than a decade? Your example of "2 or more" is very succinct. than four times the smaller number. 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. How do you determine the possible solutions for y? Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Three fifths of a quantity added to the quantity itself is thirty-nine. The product of a number and seven is equal to two more than the number 1 See Answers Add Answer Answer & Explanation Pohanginah Expert 2021-03-19 Added 96 answers Let x be the number so we can write the equation: ( x) ( 7) = x + 2 or 7 x = x + 2 Subtract x from both sides: 6 x = 2 Divide both sides by 6: x = 2 6 x = 1 3 So, the number is 1 3. The word from indicates the motion (subtraction) is to begin at the point of "some quantity.". The word from means "a point of departure for motion." Notifications can be turned off anytime in the browser settings. The six-foot-three, 212-pound passer earned a $3,944.45 bonus each time he played more than 51 percent of Montreal's offensive snaps in a game, which he accomplished 16 times. Select the correct answer from each drop-down menu. (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." Twice the sum of the numbers is 40. Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. Ten times a number minus one is divided by fourteen and the result is one. In total, his compensation for this season will be exactly $500,000 in hard money. Eight less than some unknown number is three. How do you write the expression for "A number decreased by 17 is less -4" than or equal to -4"? You must work at least 4 hours per week at the video store, and the total number of hours you work at both jobs in a week cannot be greater than 15? the quotient of five and a number. When four consecutive integers are added, the sum is 46 . Seven is added to ten less than some number. Three more people died in avalanches this past weekend, bringing the total number of avalanche deaths in the 2022-2023 season to seven. SALES Ling can spend no more than $120 at the summer sale of a department store. It is a basic line. Solve the equation \(2(3x+1)5x=4(x6)+17\). The number of passengers injured remains at 85. \begin{aligned} Translate the following phrases or sentences into mathematical expressions or equations. 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? Thirteen is 7 more than one-fifth of a number. If x=1, y must equal 5. parsing. Lions trading for veteran quarterback Dane Evans, Ryan Dinwiddie anointing Chad Kelly as Sign up for the 3DownNation daily newsletter, Fajardo made $467,000 in hard money last season, 3DownNation Podcast: Evans to B.C., Harris contract with Riders, Lions sign Lemon, Edmonton Elks extend lease at Commonwealth Stadium through 2027, Great Scott: Toronto Argonauts sign QB Bryan Scott, Roughriders contract with QB Trevor Harris worth more than $1 million over two years, Blast from the past: Argos sign receiver Dontrelle Inman following seven-year NFL stint. (0, 0) works because: Finally there are the non-equal inequalities: Like the previous inequalities, greater than is anything above the line and less than is anything below the line. The two men, James Sutton, 67, and Jurgen Montgomery, 47, were identified by the La Plata County coroner on Monday. How do you write and solve an inequality to find n? Is it "> 2" or ">= 2"? Start your trial now! #3x+4=7 =>x=1# only one solution 3x - 2. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. With a rapid test, you may test positive for six or seven days after your symptoms have cleared. If x=1, y must equal 5. This result is then divided by three. "In this particular case, these two skiers were well-equipped, but they were both caught in the same avalanche, so there was nobody around to perform a rescue," Greene said. Anything on the line is not an answer. 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