You make $5 an hour in tips working at a video store and $7 an hour in tips working landscaping company. "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. 3) Four times a number is 24. What inequality can you write to find the number of shirts he can buy? The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. Find the numbers. Twice the sum of the numbers is 40. How do you write the following in interval notation: #4 >x# OR #3 > x#? Equations and inequalities describe the relationship between two mathematical expressions. And more, if I need to write for ">= 2", which is clear way to write? To help us translate verbal expressions to mathematics, we can use the following table as a mathematics dictionary. How do you write the interval [3, 4] as an inequality involving x and show each inequality using the real number line? Five divided by a number plus six is fourteen. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750? Does Children under 8 years old include 8 years old?. Divide both sides by 6: \dfrac{x+1}{3 x-12} &=4 Some phrases and sentences do not translate directly. 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. Another 85 people suffered varying injuries, including 25 who are said to be in a serious condition . if tim's phone bill was $28.56, which equation could be used to find how many text messages, x, tim sent last month? 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. Solve the system of linear equations by elimination. 15 = 6n + 3. Expert-Verified Answer. Twice the sum of the two numbers is 40. A number plus six, divided by two, plus five, is forty-three. 13 = 1/5n + 7. Whenthedigitsarereversed,, Q:Translate: Thanks a lot. greater than or equal to 2. 5) A number divided by 5 is 7. Ask your question. Alfonso earns $9.00 per hour working part-time as a lab technician. A:I am going to solve the given problem by using some simple algebra to get the required result. There is one more than twice as many. How do you write a compound inequality to represent the scenario. Half of the number x is:x2 A:Let the two numbers are x and y, in which x is larger and y is smaller. Twelve divided by twice a number is fifty-five. 2. the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. than the square of the greater integer. Find the, A:Since,wehavebeengiventhatoneintegeris5lessthantwiceanother.Also,itisgiventhatthe, Q:A number is 9 more than another number. English Language Learners Stack Exchange is a question and answer site for speakers of other languages learning English. }\), \(\underbrace{\underbrace{\text { Fifteen }}_{15} \underbrace{\text { minus }}_{15} \underbrace{\text { a number }}_{x}}_{15-x} \text { . ` Aside from tracking radio-collared wolves, they used remote cameras and collected scat to estimate the population. 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. 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? Greene said that in addition to knowing how to be prepared while in the backcountry, checking the avalanche forecast constantly is key. Sign up to be updated with all the latest news, offers, and special announcements. Find both integers. (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. 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. How does a linear inequality different from a linear equation? Q:A number is 8 more than another number. 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 twice the larger is added to two. The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Q:.. A number minus two is divided by three is equal to *Response times may vary by subject and question complexity. So twice a number means 2x 2x. What are the possible values of x . Find the integers, A:Let x be an integer and x+1 be its consecutive integer.It is given that their product is 19 more, Q:The sum of two numbers is 43. The word from means "a point of departure for motion." He has 200 gold coins and a case of 500 tea bags costs 15 gold coins. Get a free answer to a quick problem. For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Let the number bex.. 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. Making educational experiences better for everyone. The entire result is fifteen. If not, you're done. 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. \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} \\ Q:Two numbers have a sum of 48. 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"? }}_{20}}_{x(10+x)=20}\), A number plus one is divided by three times the number minus twelve and the result is four. Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? If she makes 1/3 pounds servings using this amount of lasgana, how many servings can she make? 1. How do you solve and write the following in interval notation: #7 x + 4# OR #x 3 <2#? To solve a problem using algebra, we must first express the problem algebraically. The sum of a number and 6 is 8 more than twice the number. 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"? I usually just understand it as "two or more" since we generally translate it as similar sentence in Korean. 1. A number divided by two more than itself is zero. Now, we get 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. x - 7. Q:3. A to, 4. To find the length of the second piece, we must subtract the length of the first piece from the total length. Example 3: Write each phrase as an algebraic expression using the variable n. The work is done over the winter when the population is most stable. "Households where census collectors have delivered census packs will also get a second letter. How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"? He has $80. If the phrase had appeared as "three times the number, minus twelve," the result would have been PTIJ Should we be afraid of Artificial Intelligence? They plan to charge $15 to mow one lawn. As the integer is 4 less than other, hence the other integer isx-4 Q:The product of two consecutive positive even integers is 14 more than their sum. What is the least number of points he can get on the fifth test to have an average of at least 90? Thirty-seven is five less than the product of what number and three? Answer Sample Set B Sometimes the structure of the sentence indicates the use of grouping symbols. If x=1, y must equal 5. How do you write and solve an inequality to find how much more cash Dex should put in his wallet? Translate the following phrases or sentences into mathematical expressions or equations. Eight less than some quantity. Thanks (x)(7)=x+2 How do you verify if h=-5 is a solution to #4h> -12#? Josephine started a business selling cosmetics. 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. Once you remove the "or equal" part, the entire line is not an answer. Find number. 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"? \begin{aligned} Eight less than three times a number is -23. A number is equal to itself plus four times itself. The point on a line that is associated with a particular number is called the of that number. Your question is solved by a Subject Matter Expert. "one more than three times 2 is 7". The larger of two numbers is one more A number is increased by one and then multiplied by five times itself. A:As per our guidelines , we are allowed to answer first question only. Two ninths of a number is eleven. The entire result is equal to six. One tenth of a number is that number less one. 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. Then we must translate the verbal phrases and statements to algebraic expressions and equations. How do you write an inequality and solve given "two thirds of a number added to six is at least twenty two"? It stops at the gas station for 2 minutes, The 36-year-old quarterback received a $250,000 signing bonus to become the face of the franchise on the prairies and will also earn $221,500 in base salary, $13,500 in housing money, $10,000 in non-football related services to the club, and a $5,000 travel allowance in 2023. Find the integers. Find, A:Given information: is very succinct and clear, you could also use, to mean ">= 2", it does not need to be entirely spelled out as. both. This condition is more common in men than women (56.4% vs 38.4%), those living below the federal poverty level (65.4%), those with less than a high school education (66.9%), and current smokers (64.2%) . }_{10}}_{2 x=10}\), \(\underbrace{\underbrace{\text { One half }}_{\dfrac{1}{2}} \underbrace{\text { of }}_{\cdot} \underbrace{\text { a number }}_{\mathbf{z}} \underbrace{\text { is }}_{=} \underbrace{\text { twenty }}_{20}}_{\dfrac{1}{2} z=20}\), \(\underbrace{\underbrace{\text{Three}}_{3} \underbrace{\text{times}}_{\cdot} \underbrace{\text{a number}}_{y} \underbrace{\text{is}}_{=} \underbrace{\text{five}}_{5} \underbrace{\text{more than}}_{+} \underbrace{\text{twice}}_{2\cdot} \underbrace{\text{the same number}}_{y}}_{3y=5+2y}\). 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. A quantity multiplied by seven plus twice itself is ninety. 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. Calculate the volume of the metal. Three times the difference of a number and one is equal to twice a number added to two. \\ Q:The sum of two numbers is 10 and their product is 24. One number is 9 more than twice another A number is added to itself then divided by three. \end{array}\), \(\underbrace{\underbrace{\text { A number }}_{x} \underbrace{\text { multiplied by }}_{\text {, }} \underbrace{\text { ten more than itself }}_{(10+x)} \underbrace{\text { is }}_{=} \underbrace{\text { twenty. five divided by the same number. How do you write and solve an inequality to determine the number of shirts she can buy? Justin Dunk is a football insider, sports reporter and anchor. Subtract x from both sides: answered 02/27/20. Seven of the 18 U.S intelligence agencies conducted the more than two-year investigation in more than 90 countries, including the United States, and found "no credible evidence" that any American adversary possessed "a weapon or collection device," including an emitter of electromagnetic energy pulses, that could cause the symptoms. Filo instant Ask button for chrome browser. How do you graph the inequality on a number line #y> -1#? What is the difference between set notation and interval notation? Ten times a number minus one is divided by fourteen and the result is one. Find the two numbers. The symbols 17 + x = 68 form an algebraic equation. You have $60.00 in your wallet and want to buy some new CDs. (in Korean, there are separated single words for 'greater than or equal to' and 'greater than'.). pational. \end{aligned} Find the numbers. \dfrac{x+1}{3 x}-12=4 -a, \text { if } a<0 How do you write the expression for A number y added to 2 is greater than 7? The difference between twelve and two-thirds of a number is 18. To express a problem algebraically, we must scrutinize the wording of the problem to determine the variables and constants that are present and the relationships among them. Twenty-three is divided by two less than twice some number and the result is thirty-four. Name the first number as x and the second as y what level of math? Filo is the worlds only live instant tutoring app where students are connected with expert tutors in less than 60 seconds. }}_{8}}_{y-8}\), \(\underbrace{\underbrace{\text { Twice }}_{2 \cdot} \underbrace{\text { a number }}_{x} \underbrace{\text { is }}_{=} \underbrace{\operatorname{ten} . Are there any formal but shorter words for '>='? It would mean that #2# has also been included. How do you graph #x>=5# on the number line? y 2x +3. How do you determine the possible solutions for y? That is your answer. (x + 1) (3 x 12) = 4 x + 1 3x 12 = 4. Let our experts help you. Mathematics, 21.06.2019 18:00. If the sum of their reciprocals is (3/10). Three less than some number is equal to twice the number minus six. Twice the sum of the two numbers is 10. \end{array}\right.\). Vanguard is closing its UK financial planning arm less than two years after its launch in April 2021 after a disappointing number of customers signed up to a new low-cost retirement advice service . \( Inequalities represent a range of values, rather than a single value. twice the first is 2 less than 3 times the second. Ten times a number is eight more than five times the same number. Jim deVos, Arizona Game and Fish Department Mexican Wolf Coordinator, said recovery for any endangered species is difficult and this has proven to be the case for the Mexican wolf. 10 + n/6 = 5. Find the measure of both angles. Identify an inequality that represents how many more buckets z of fish the whale needs to eat? Find the numbers. You could also use "At least 2". the sum of a number and twelve. Two more than twice a number is one half the number less three. 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. 6x=2 This result is then divided by fifteen. Seven times two more than a number is twenty-one. Dex wants to have at least $65 in his wallet. Round to the nearest tenth. Officials also documented the lowest annual total of wolf deaths since 2017 six in Arizona and six in New Mexico for 2022. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Fifteen equals three more than six times a number. Informative interview of two dental professionals about periodontal disease, diabetes complications, and the influence of poor oral health . Thirteen is 7 more than one-fifth of a number. 7.) Remember, when solving for x, anything you do to one side you must do to the other. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Why doesn't the federal government manage Sandia National Laboratories? 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. COLORADO, USA Every year there is avalanche danger in Colorado, but the danger varies by day and location. A: Given: Four times the sum of some number plus 5 is equal to 16 times the difference of . Solve the equation \(2(3x+1)5x=4(x6)+17\). Ten times a number less four results in sixty-six. Find the numbers. Linear equations. I think "two or more" is clear but is there any clear expression? How do you write the expression for "A number decreased by 17 is less -4" than or equal to -4"? Papa's Pizza offers a party $4 per child with a $40 fee for the cake and playground supervisor. 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. Why did the Soviets not shoot down US spy satellites during the Cold War? How do you write the following in interval notation: #x>2# OR #5>x#? Let m represent the money brought to the movies? Then the quotient of number and 7 isx7, Q:The sum of 3 numbers is 40. The lunch lady has 12 pounds of lasgana. 4) A number decreased by 6 is 1. Write and graph an inequality for each sentence. Seven more than twice a number is 11. When four consecutive integers are added, the sum is 46 . How do you write the interval #(11,oo)# as an inequality? Blast from the past: Argos sign receiver Dontrelle Inman following seven-year Montreal Alouettes sign QB Mike Glass III, one other. Find the numbers, Q:One number is 5 more than another mumber. A number divided by sixteen, plus one, is five. Learn more about Stack Overflow the company, and our products. Translate the sentence into an equation. Q:1 less than twice the sum of a number and 4. The mad hatter wishes to by some cases of tea. Write the algebraic definition of the absolute value of the number \(a\). A number multiplied by itself added to five is thirty-one. A number is added to six and that result is multiplied by thirteen. In 2020, 29 wolves were reported dead and another 25 the following year. The U.S. Now, one is subtracted from this result and five is obtained. (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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