The cross-fostering of captive-bred pups with packs in the wild also has added to the population and has helped to address concerns about genetic diversity. The larger number is 6 more than twice the smaller number. The measure of one of the small angles of a right triangle is 2 more than 3 times the measure of the other small angle. How do you solve and write the following in interval notation: #x 3>8# AND #x + 2 >#? She wants to construct a house in the middle of the plot. 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. Two more than the product of a number and 8 is equal to 4. The word from means "a point of departure for motion." Recalculate according to your conditions! How do you translate the following statement "Three more than three times a number is seven" into an algebraic expression and then find the number? ` How many weeks can Keith withdraw money from his account? numbers. also i don't need to be paid if i can you. It is cut into two pieces and the first piece has length x. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. No packages or subscriptions, pay only for the time you need. The sum of the numbers is twenty-four. Prove that 16^4-2^13-4^5 is divisible by 11. I think "two or more" is clear but is there any clear expression? Your example of "2 or more" is very succinct. "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. A number is added to six and that result is multiplied by thirteen. \(|a|=\left\{\begin{array}{l} >=2 can also be written as "not less than two" or "at least two". "If everybody's caught in the same avalanche, the chances of a bad outcome go up very quickly," he said. A:The sum of two numbers is 14. A killer whale has eaten 75 pounds of fish today. The Valley Inn charges $17.50 per person and a $100 service fee. Basically, every value for x and y above or on the line will work as an answer. Subtract x from both sides: If the perimeter is at most 112 centimeters, what is the greatest possible value for the width? Let m represent the money brought to the movies? You will receive an answer to the email. Ten divided by two more than a number is twenty-one. Seven more than some number is five more than twice the number. Filo is the worlds only live instant tutoring app where students are connected with expert tutors in less than 60 seconds. Is it "> 2" or ">= 2"? twice the first is 2 less than 3 times the second. Please helppp. So we start with a number N. Then we multiply it by 3 to get: 3N Then we increase it by 1 to get: 3N+1 And we equal all of that to 7: 3N+1=7to [ANS} Solving: 3N+1=7 3N+1-1=7-1 3N=6 N=6/3 N=2 "one more than three times a number is 7". Josephine started a business selling cosmetics. Choose an expert and meet online. How do you write the following in interval notation: #4 >x# OR #3 > x#? The point on a line that is associated with a particular number is called the of that number. A number plus seven is divided by two and the result is twenty-two. You make $5 an hour in tips working at a video store and $7 an hour in tips working landscaping company. A number divided by ten, plus four, results in twenty-four. How do you write the inequality and solve given "A number decreased by 4 is more than -1"? 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"? Let x be the number so we can write the equation: In order to receive on an essay, no lower than an 82% a B the grade must be and no higher than an 89%. number is, A:Given,Thesumofthedigitsofatwo-digitnumberis10. One number is 10 less than the other. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? 6x=2 Three times the difference of a number and one is equal to twice a number added to two. 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? Officials also documented the lowest annual total of wolf deaths since 2017 six in Arizona and six in New Mexico for 2022. Find the numbers. Sometimes the structure of the sentence indicates the use of grouping symbols. Twenty divided by eight times a number added to one is nine. Jordan's line about intimate parties in The Great Gatsby? Five divided by a number plus six is fourteen. 7.) The sum of two number is 6 . Their sum is 37. One number is forty more than the other. 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. A linear equation will have one solution where as a linear inequality can have numerous. The contract included a number of playtime incentives he was able to unlock after taking over the starting role in Week 3. 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. A: Given: Four times the sum of some number plus 5 is equal to 16 times the difference of . 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. 2.) 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. A:Let two consecutive numbers are x and x+1, Q:three more than five minutes is equal to 1 less than twice the number. How do you solve and write the following in interval notation: #-3 (x + 4) / 3 <-1#? Inequalities represent a range of values, rather than a single value. Nate has scores of 85, 91, 89, and 93 on four tests. Legal. Let our experts help you. Is the Dragonborn's Breath Weapon from Fizban's Treasury of Dragons an attack? A number is increased by one and then multiplied by five times itself. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. E.g. The length of a rectangle is three times its width. The number of passengers injured remains at 85. Each angelfish costs $12 and needs at least 6 gallons of water. Are there any formal but shorter words for '>='? 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. Quadratic inequalities This means that any value of x greater than -1 satisfies x + 3 2. The following translation will illustrate this use. Q:A number is 8 less than twice another number. 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. The six-foot-three, 212-pound passer earned a $3,944.45 bonus each time he played more than 51 percent of Montreals offensive snaps in a game, which he accomplished 16 times. To keep things simple, refer to the function: It is a basic line. Basically, every value for x and y above or on the line will work as an answer. Divide both sides by 6: Be a part of it. Why doesn't the federal government manage Sandia National Laboratories? Thanks a lot. y 2x +3. PTIJ Should we be afraid of Artificial Intelligence? 8 + 2x. You have $60.00 in your wallet and want to buy some new CDs. Q:The product of three less than a number and eight is fourteen. Both are valid and private to their address, Stats NZ said. The survival rate for pups in their first year is typically around 50%. The entire result is fifteen. or Total classes on Filo by this tutor - 3327, Connect with 50,000+ expert tutors in 60 seconds, 24X7. 10 + n/6 = 5. How do you graph the following inequality? How do you write the interval notation for #-4<=y< -1#? }}_{20}}_{x(10+x)=20}\), A number plus one is divided by three times the number minus twelve and the result is four. x=13 LEM current transducer 2.5 V internal reference. Is 3 a possible value for n? With a rapid test, you may test positive for six or seven days after your symptoms have cleared. Write multiplicative inverse of each of the following rational tumbers 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 How do you write an absolute value inequality that represents all real numbers less than 3 units from 0? If the variables are of the form, x2, x1/2 or y2 it is not linear. Aftermath." find the numbers. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. If there are no more than 1 times as many red marbles as blue ones in the bag, at most how many red marbles are in the bag? Ox-3= 2x, Q:The product of two consecutive Even mumbers is 54 more than the A:Given that, four more than a number equals the sum of seven and 12. She wants to buy shirts on sale for $15 each. Seven less than the product of twice a number is greater than 5 more an the same number. At least how many hours does Alfonso have to work? He also wants to buy some shirts that are on sale for $17 each. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. How many cases of tea can he buy. Notice that since the phrase "three times the number minus twelve" does not contain a comma, we get the expression $3 x-12$. You could also use "At least 2". Q:Two less than three times a number is seven more than twice the number. the equation that could be used to find. Explain your thinking. (05.06 MC) Three less than some number is equal to twice the number minus six. Whatever you plug in a value x, it must fulfill a value for y. Whatever you plug in a value x, it must fulfill a value for y. Alfonso earns $9.00 per hour working part-time as a lab technician. Yes, it can also be written that way. On a graph, this line is usually dotted to mean that the line is not an answer, but just a boundary on what can be an answer. Example 5.5.10. Find the numbers. Your local bank offers free checking for accounts with a balance of at least $500. Write and graph an inequality for each sentence. They were unable to rescue him. As the, Q:The sum of two numbers is 14 one number is x what is the other. fi Computers and Technology, 11.02.2021 09:40. How do you solve and write the following in interval notation: #7 2x 5# OR #(3x 2) / 4>4#? How do you write an inequality and solve given "seven tenths of a number plus 14 is less than forty nine"? Anything on the line is not an answer. How do you write an inequality and solve given "eight times a number minus twenty seven is no more than the negative of that number plus eighteen"? A number divided by sixteen, plus one, is five. How do you write the expression for "A number decreased by 17 is less -4" than or equal to -4"? Greene said that in addition to knowing how to be prepared while in the backcountry, checking the avalanche forecast constantly is key. Half of the number x is:x2 The contract included a number of playtime incentives he was able to unlock after taking over the starting role in Week 3. Given that. Q:The product of two consecutive positive even integers is 14 more than their sum. Has 90% of ice around Antarctica disappeared in less than a decade? The word from indicates the motion (subtraction) is to begin at the point of "some quantity.". The smaller number is 7 less than the larger number. How do you graph the inequality on a number line #y> -1#? Twice the sum of the numbers is 40. The result is eighty-four. How much do you need to deposit to avoid being charged a service fee? A:Given: Five times a number decreased by three. . Q:.. A number minus two is divided by three is equal to Find the measure of both angles. Find the numbers, Q:One number is 5 more than another mumber. If the sum of the numbers is 28, find the. 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. Make 2 new equations from the question. W How do you write the interval (1, 2) as an inequality involving x and show each inequality using the real number line? "one more than three times N is 7". Q:four times the sum of some number and 3 is equal to 8 times the number minus 12, A:Let some number isn Use the variable xfor the unknown number. 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. So, the number is 13. We must be careful to read them properly. Whenthedigitsarereversed,, Q:Translate: 405, Which of the following triplet is pythagorean? "This is not an error, but part of . 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 The 10-year CFL veteran will see his compensation increase to $525,000 in the second year of the deal. Five times a number is that number minus two. If not, you're done. In the problem above, x is a variable. Sixteen less than some number is forty-two. Find the numbers. Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. Q:The product of some negative number and 5 less than twice that number is 375. In the equation #x+y=5#, the value for x is a whole number greater than 2 but less than 6. the quotient of five and a number. The information in this article is current as of the date listed, which means newer information may be available when you read this. A:As per our guidelines , we are allowed to answer first question only. Does With(NoLock) help with query performance? 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? There are four inequality notations. How do you express the solution set of the inequality in interval notation and graph the interval of #x>7/4#? is very succinct and clear, you could also use, to mean ">= 2", it does not need to be entirely spelled out as. (6, n) is a solution to the inequality #y+3<= (x-4)#. This result is then divided by three. Tip: When someone says "greater than" they are typically talking about addition, and when someone says "less than" they are typically talking about . Jandelle C. 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. The unit digit is four less than five times the tens digit., A:Let 'ab' denotes a two digit number where 'b' is unit digit and 'a' denotes tens digit. There is one more than twice as many. Practice Problems: Translate each phrase into an algebraic expression. How does a linear inequality different from a linear equation? 15 = 6n + 3. If #x# represents the number of tapes and # y # the number of CDs, what is the linear inequality that represents this situation? The sum of a number and 6 is 8 more than twice the number. Ethan Greene, director of theColorado Avalanche Information Center, known as CAIC, said the two skiers killed in La Plata County near Vallecito Reservoir were experienced in how to handle the backcountry. The result is one. Round to the nearest tenth. If the CDs are $11.00 each, what number of CDs, x, can you buy? 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. 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. An unknown quantity is decreased by eleven. The six-foot-two, 220-pound passer was a standout over four seasons at Occidental College (2013-16) where he threw for 9,073 yards, 77 touchdowns, and 22 interceptions and carried the ball 158 times for 402 yards and 13 touchdowns over 33 games. If the sum of their reciprocals is (3/10). We've added a "Necessary cookies only" option to the cookie consent popup. The difference between twelve and two-thirds of a number is 18. Thanks a lot. An exponent records the number of identical in a multiplication. a, \text { if } a \geq 0 \\ What's the difference between a power rail and a signal line? How do I fit an e-hub motor axle that is too big? A number plus six, divided by two, plus five, is forty-three. A number less twenty-five is equal to \(3.019\). Seven times two more than a number is twenty-one. SALES Ling can spend no more than $120 at the summer sale of a department store. They were discovered under about 4 feet of snow. \\ Then the quotient of number and 7 isx7, Q:The sum of 3 numbers is 40. Lionel wants to buy a belt that costs $22. As the integer is 4 less than other, hence the other integer isx-4 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? . If you get COVID-19, you may test positive on a PCR test for several weeks after you have ceased to be infectious. 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. Now, we get A number is equal to itself plus four times itself. 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. (x)(7)=x+2 If twice the larger is added to two. How do you write the inequality and solve given "three times a number increased by 8 is no more than the number decreased by 4"? How do you write the interval (-, -3) U (-3, ) as an inequality involving x and show each inequality using the real number line? Let's look at some examples of writing algebraic equations. Another 85 people suffered varying injuries, including 25 who are said to be in a serious condition . Translate the sentence into an equation. ", "More expensive. The average of their maximum speeds was 260 km/h. The annual count started in November, with members of the interagency field team conducting ground and aerial surveys of a rugged forested area along the Arizona-New Mexico line. Why was the nose gear of Concorde located so far aft? Find the, A:Since,wehavebeengiventhatoneintegeris5lessthantwiceanother.Also,itisgiventhatthe, Q:A number is 9 more than another number. How do you write the inequality and solve given "twice a number increased by 3 is less than the number decreased by 4"? Q: One number is seven more than six times another number. Saying that n is the number: - Come up with a formula. 6.) But #3x+4>7 => x>1# every number larger than one is a correct solution. Linear equations. 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? five divided by the same number. 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. Your example of "2 or more" is very succinct. Given that, Q:One-sixth of a number is 3 less than one-half of the same number. Vance wants to have pictures framed. How Oregon researchers are testing 3D printing to reconstruct bone. What is the difference between > and #>=#? twenty less than a number. (All the/None the/Any the/Much the) + comparatives, This fact makes the Korean language much simpler than English is, "I read
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