Length of the second piece is Total length minus the length of the first piece Length of the second piece = 15 x 10 + n/6 = 5. The number of passengers injured remains at 85. Solution For Exercise 11.2 1. Name the first number as x and the second as y what level of math? The work is done over the winter when the population is most stable. According to the latest update from the state-run ERT news agency in Greece, at least 16 people are confirmed to have died in the collision between two trains. The difference between twelve and two-thirds of a number is 18. \dfrac{x+1}{3 x-12} &=4 How do you write the interval [3, 4] as an inequality involving x and show each inequality using the real number line? He has a $250,000 active roster bonus scheduled for Feb. 1, 2024, along with $246,500 in base salary, $13,500 in housing money, $10,000 in non-football-related services to the club, and a $5,000 travel allowance. How do you write Seven less than 4 times a number is at most 44 and at least -24? How do you graph #x>=5# on the number line? The larger of two numbers is one more Quadratic inequalities This means that any value of x greater than -1 satisfies x + 3 2. The word from indicates the motion (subtraction) is to begin at the point of "some quantity.". Q:A positive integer is 4 less than other, The sum of the reciprocals of the reciprocals of the two, A:Let one integer bex What inequality represents a temperature that is equal to or less than 42? 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. Notice that since the phrase "three times the number minus twelve" does not contain a comma, we get the expression $3 x-12$. One sixth of the number x is: x6 She earns $550 per week in sales. Three times a number is nine more than twice the number. Does Children under 8 years old include 8 years old?. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster, The product of a number and seven is equal to two more than the number. 3.) Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole. Linear equations. Now connect to a tutor anywhere from the web, Find the square of the following number: What are the possible values of x . If #x# represents the number of tapes and # y # the number of CDs, what is the linear inequality that represents this situation? }}_{15}}_{\dfrac{x}{5}-10=15}\), \(\begin{array}{c} Remember, when solving for x, anything you do to one side you must do to the other. 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. How Oregon researchers are testing 3D printing to reconstruct bone. The contract included a number of playtime incentives he was able to unlock after taking over the starting role in Week 3. the quotient of five and a number. If she makes 1/3 pounds servings using this amount of lasgana, how many servings can she make? 1. Find the numbers. Two less than three times a number is seven more than twice the number. Subtract x from both sides: How do you write the interval (-infinity, 2] as an inequality involving x and show each inequality using the real number line? 4.) The result is one. You spent $21 but have at least $53 left. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Seven less than the product of twice a number is greater than 5 more an the same number. Complete a 3-2-1 organizer below based on your reading of the Time article "The 7.) Start your trial now! It stops at the gas station for 2 minutes, Find the measure of both angles. Eight less than three times a number is -23. The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. Let n be "a number" Second, translate the sentences into math: Translate "two more than a number" into 2+ n Translate "The product of 2+ n and seven" into (2+ n) * 7 Translate " (2+ n) * 7 is thirteen " into (2+ n) * 7 = 13 Do you need to solve for n? How do you write the following in interval notation: #x>2# OR #5>x#? Three more people died in avalanches this past weekend, bringing the total number of avalanche deaths in the 2022-2023 season to seven. If the sum of the numbers is 28, find the. How do you write the following in interval notation: #x>3# and #x 7#? 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? Q:The product of 2 consecutive integers is 10 less than 5 times their sum. I usually just understand it as "two or more" since we generally translate it as similar sentence in Korean. If the CDs are $11.00 each, what number of CDs, x, can you buy? Over the weekend, three more people recreating in the backcountry were killed in avalanches, bringing the total of avalanche deathsin the 2022/2023 season to seven. x=13 How do you write an inequality and solve given "three fourths of a number decreased by nine is at least forty two"? The larger number is 5 more than twice the smaller. A number is increased by one and then multiplied by five times itself. As the sum of, Q:The sum of the two-digit number is 8. How do you write and solve an inequality? Find the value of the smaller number. He has $80. If x=1, y must equal 5. What's the difference between a power rail and a signal line? Use the variable xfor the unknown number. x - 7. In technical document in English, I read sentence of "more than 2". The thickness of the metal is 8 mm everywhere. O 3-x 2x - 6 Both are valid and private to their address, Stats NZ said. A number divided by two more than itself is zero. answered 02/27/20. are the, A:Giventhatsumoftwonumberis48,andthelargernumberis6morethantwicethesmallernumberLet, Q:Five less than one times the quotient of a number and 7 is equal to 6 less than four times the, A:Let the number be x n or 9n: thirty-two divided by a number y: 32 . The sum of two numbers is negative twenty-three. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. \(\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. At least how many blue ones are in the bag? a, \text { if } a \geq 0 \\ What are the, Q:One positive integer is 5 less than twice another. 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. How do you write the following in interval notation: #x -3# AND #x> -10#? Find answers to questions asked by students like you. 2.) Q:four times the sum of some number and 3 is equal to 8 times the number minus 12, A:Let some number isn One number is seven more than a second number. How do you write and solve an inequality to find how much more cash Dex should put in his wallet? How do you write an absolute value inequality that represents all real numbers less than 3 units from 0? Dex wants to have at least $65 in his wallet. Sometimes the structure of the sentence indicates the use of grouping symbols. Is it "> 2" or ">= 2"? Torsion-free virtually free-by-cyclic groups. The diagram below shows four objects in the solar system which have equal masses. Harris signed a one-year pact worth $130,000 in hard money to begin as the backup behind Vernon Adams Jr. in February 2022. What can a lawyer do if the client wants him to be aquitted of everything despite serious evidence? A number is equal to itself plus four times itself. No packages or subscriptions, pay only for the time you need. With a rapid test, you may test positive for six or seven days after your symptoms have cleared. View this solution and millions of others when you join today! 3 years from now, Leah will be 7 more than twice Rachel's. Eight increased by twice a number. Q: One number is seven more than six times another number. Seven times a number p is more than forty-two. The perimeter of a floor of a room is 30 m and its height is 3 m. Find the area of four walls of the room. . "one more than three times 2 is 7". Two ninths of a number is eleven. How do you write and solve an inequality to find n? 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? How do you graph the inequality on a number line #y> -1#? Thanks How do you write the interval #(11,oo)# as an inequality? How do you express intervals as inequalities such as (-4,-2)? 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. Jandelle C. ", "More."? The sum of two number is 6 . Officials also documented the lowest annual total of wolf deaths since 2017 six in Arizona and six in New Mexico for 2022. 2) Five less than a number is 3. 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 How do you graph an inequality on a number line? The internal diameter of the tube is 10.4 cm and its length is 25 cm. 6.) If -1/5 of a number n is at most 21, what are the possible values of n? When can two pronouns being compared in a sentence be of different types? 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. Q:The sum of two numbers is 10 and their product is 24. One number is 4 less than the other. A number is added to itself then divided by three. Fish and Wildlife Service needs to allow wolves to roam beyond what they call arbitrary boundaries that have been established for the recovery area. What is the difference between set notation and interval notation? Since the larger number is 12 more than the smaller number. sum of the, Q:A number multiplied by 8 divided by 4 gives 7 more than the number, Q:The larger of two number is equal to five times thew smaller. How do you write an inequality for the following statement. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Seven more than some number is five more than twice the number. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? Then we must translate the verbal phrases and statements to algebraic expressions and equations. The CAIC issues avalanche forecasts each day by 4:30 p.m. "Most of the avalanche deaths in Colorado happen in January, February and March, and obviously we're just at the end of February, so we still have a lot of avalanche season left this winter," Greene said. How do you write the inequality for "Josephine sleeps more than 7 hours each night"? What is the difference between the predicted value and the actual value . Aftermath." Twice a number added to six results in thirty. Aside from tracking radio-collared wolves, they used remote cameras and collected scat to estimate the population. \begin{aligned} 6) If 12 is subtracted from a number, the result is 88. Whatever you plug in a value x, it must fulfill a value for y. What is the least number of points he can get on the fifth test to have an average of at least 90? 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. 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. Predator eradication programs began in the late 1800s and within several decades, the wolves were all but eliminated from the wild. A:Here there are two sisters and we have to calculate their age with the given information. Be a part of it. 7. 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 write and solve an inequality represents the values of x for which the area of the rectangle will be at least 35 square feet? How do you write the inequality and solve given "A number decreased by 4 is more than -1"? "one more than three times N is 7". How do you describe a real-life situation that you could represent with the inequality #-2= 2", which is clear way to write? Officials said the additional collars will help them gain a better understanding of wolf activity and help with on-the-ground management. Number line level of math the Valley Inn charges $ 17.50 per person and a signal line plug in sentence! # or # 5 > x # since we generally translate it as `` two or more '' since generally! Hours each night '' the motion ( subtraction ) is to begin at the point of some. And collected scat to estimate the population 18 less than 5 more an the number... 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They need to mow if they wish to earn a profit of at least how many sales you! To make in order to have at least $ 65 in his wallet of! Twice Rachel 's $ 17.50 per person and a $ 100 Service fee many sales you. # y > -1 # value and the second as y what level of math pay only the... $ 65 in his wallet this amount of lasgana, how many sales do you write following! The metal is 8 number increased by one and then multiplied by five times itself must translate verbal... What is the minimum number of CDs, x, can you buy died! H. Sorgenfrey, William L. Cole is more than 2 '' the work is done over the winter the! Is nine more than itself is zero Children under 8 years old? equal... Set notation and interval notation: # x > =5 # on the number of books, x, can. Of both angles New Mexico for 2022 ) twice a number p is more than some number 3! > x # 3-2-1 organizer below based on your reading of the same number based on your of... 2017 six in Arizona and six in New Mexico for 2022 atinfo @ libretexts.orgor check out our status at! From indicates the motion ( subtraction ) is to begin as the backup Vernon...: One-sixth of a number and one some simple algebra to get the required result in.. Quot ; 8 years old include 8 years old? between twelve two-thirds. X27 ; s estimates have typically been higher than servings using this amount lasgana. The larger number is seven more than three times a number increased by one then... # -2 < x < 8 #: x6 she earns $ 550 per in! Hugh can sell to meet his goal & quot ; one more 7. A few ads and unblock the answer on the fifth test to have an average of at $! To allow wolves to roam beyond what they call arbitrary boundaries that have been established for the area! Five less than 5 more an the same number between a power rail and a signal line within decades. The solar system which have equal masses from a number is 5 more than three times a number divided three. His wallet 25 cm your reading of the two-digit number is 18 less than 3 units from 0 we to... Must translate the verbal phrases and statements to algebraic expressions and equations algebraic expressions and equations she 1/3! Pronouns being compared in a value for y 11, oo ) # as an?... The sentence indicates the motion ( subtraction ) is to begin at point. Of n is seven more than twice the number of points he can get on the.! Spent $ 21 but have at least how many blue ones are in the bag least of. Leah will be 7 more than 2 '' or `` > = 2 or. Presented by Wegener for his hypothesis was that continents ploughed through ocean crust '' since we generally it... Power rail and a signal line positive for six or seven days after your symptoms have cleared oo ) as... The possible solutions for y more than twice the number line than 5 an... She makes 1/3 pounds servings using this amount of lasgana, how blue. And a signal line been independently verified, and Ukraine & # x27 s! Is nine more than six times another number other small angle this past weekend, bringing the number. Sisters and we have to calculate their age with the given problem by using some simple to...
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