Answers: 1 Show answers Another question on Mathematics. SELECT SUM(CASE WHEN DATEPART(dw, DATEADD(dd, Number-1, @StartDate)) BETWEEN 2 AND 6 THEN 1 ELSE 0 END) As NumberOfWeekDays FROM dbo . Three less than a certain number is 9. An example problem is: 5x - 7x + 3x -6, Use the associative law of addition to write an equivalent expression. The product of Gail's savings and 7 is 126. Job 2 Voices in Bioethics is currently seeking submissions on philosophical and practical topics, both current and timeless. 18 28x=168 *Response times may vary by subject and question complexity. A. 51 is the sum of 8 and Julie's height. Beth is half as old as Meg. 12x+36-36=180-36 Jill is 2 years younger than Meg. Can something be an expression and an equation? Add 5 3. by selling 9 laptops and 6 smartphones 9y so, what's six less than that? Translate the sentence into a mathematical equation. stops to take a picture of the scenery. Another way to memorize them is to observe that the sign "<" looks similar to the alphabet "L". The measure of C is equal to one less than two times the measure of B. Use the variable r to represent Rick's savings. This study also aimed to reduce the temperature deviation generated . The given values are 28 km and 42.6 km. It shows examples and common aspects of the transformation of algebra word problems into equations and expressions. The synonyms for greater than are 'larger than', 'bigger than', 'higher than', and 'above'. The wide-open side of the sign with its two points always faces the bigger number, whereas the pointed end faces the smaller number. How do you solve for n in -6(3n - 3) = -90 using the distributive property? The measure of the first angle is 16, the measure of the second angle is 4(16)+10=64+10=74, and the measure of the third angle is 90. Me find the measure to side c and the process to solve the problem you appreciate it : ) Answers: 1. 7x=364 We know that "Double a number" means 2x, where x is your mystery number. Step 2. \end{align*} Jack went on a hike for 2 hours and 15 minutes. A less than sign is defined as the math symbol used to compare numbers where one value is less than the other. Trust me on this. The two angles are complementary angles. December 5, 2012. copy/paste operations often get garbled due to font sets in word-processor documents. You'll have an entire . Solve using the addition principle. 21x=189 We can represent this in two different ways, such as 8 > 5 and 5 is less than 8 (5 < 8). Translate into algebraic expression. The table shows Zenos reasoning. The measure of the third angle is three times the number more than the measure of the first angle. What is the solution of the system? x+4x+10=90 Huh? Q:Zoe is riding her bike from her house to the park. Therefore, four wrong answers will lead to deduction of 1 Mark. Write the letter of the property that justifies the equation.: x + (2x + 3x) = (x + 2x) + 3x A) associative property. Then, the measure of one angle is 3x+17. Learn the why behind math with our certified experts, How To Make a Greater Than or Equal to Sign. 5x+10-10=90-10 During the summer, a property owner will pay $24.72 plus $1.32 per hcf for Conservation Usage. Total rooms = 300 133 is the product of 7 and Gail's savings. Mathematically, it can be written as 14 < 32 using the less-than sign. You can specify conditions of storing and accessing cookies in your browser, Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"? 10x=160 1) \frac{A-pr}{p}\\2) \frac{A - p}{pr}\\3)\frac{A}{pr} - p\\4)\fra. The product of four less than a number and nine is fifteen. 100% Let x be the measure of the first angle in degrees. Which equation is equivalent to 3x + 4y = 15?1) y = \frac{15 - 3x}{4} \\ 2) y = \frac{3x - 15}{4} \\3)y = 15 - 3x\\4) y = 3x - 15 2. An (blank) is a statement that equates two algebraic expressions. A:We have to find that the gas is enough or not to reach at point C. Q:eight times four plus m squared copy/paste operations often get garbled due to font sets in word-processor documents. If there are ut. 1.c Therefore, the other angle measures 114.5. What is the price per pound of the roast beef? Translate the following statement into an algebraic equation and then solve. Q:Matthew wants to sell laptops and smartphones. The sum of the three angles is B: X>1 (Use x for the variable.). 6x-9x=9x-9x-39 Determine the measure of the angles in degrees. stream Find the number. 25,300 landlines this year, how many will there be in For some reason they didn't come out right. The term 'less than' means one value is smaller than the other value. x=16 The underline in the symbol shows that the value could be equal to or less than the other number. When translating words Into an Algebraic Equation, what are clue words that might help? The speed of the car is 39 miles per hour. ". You should help him cut the wire such that the combined, Q:Some questions recommended that men drink 3 liters of water everyday. The measure of the first angle is 7x+4. The various forms of cancer are undeniably a pandemic, and the rate at which some cancers are spreading worldwide quickly outpaces efforts to stop it. The sum of the three angle measures is 76+38+75=189. A pair of congruent angles are described as follows: The degree measure of one angle is three more than twice a number, and the other angles degree measure is 54.5 less than three times the number. Still looking for help? Eight more than the product of seven and Mabel's age. Three-fourths of a number 10. copyright 2003-2023 Homework.Study.com. 5.) 20,341 You can specify conditions of storing and accessing cookies in your browser, In Booneville, the use of landlines has been declining at a rate of 20% every year. Let 2n-9 be 9 less than twice the number. The product of 3 and the square of g equals the sum of thirty and the product of nine and g. How do you define a variable and write an expression for " eight minus the product of 9 and a number"? Then, 7x-6 can represent the measure of the second angle. It is one of the most life-threatening problems of the 21st century. Question 2. Therefore, sheet-I leaves (8) < sheet-II leaves (9). 4.) You can also purchase 1 whole head of, A:Forcleanedromainelettuce, Confusing, I know. Replacing x with 16 in 3x+17 gives 3(16)+17=65. Do not confuse this with "Six less" which means "Subtract from 6". Six more than 5 times the number is the same as 9 less than the twice the number. 8 < 9. Q:One-third of a number is subtracted from 10. 5 years? (6,7) You bought 3 pounds of strawberries and 1 pound of blueberries for, Q:Due to the drought in California, many communities now have tiered water rates. The third angle is x and therefore measures 12. 12x=162 Hence it depicts the relationship between these two numbers. To find by how much is 28 km less than 42.6 km, we need to subtract 28 km from 42.6 km. We hadn't been to amusement park in 5-10 years, and this was a blast. Any, Q:2.) x=16 3x - 10= 15 C. 3(x - 10)= 15 D. \frac{3x}{10}= 15. Let x be the number. Thus, the less than greater than symbols are < and > respectively. Write the expression in lowest terms. The sum of A and B is 114. 665. A Therefore, the measures of the angles are 65 and 130. For example, 8 is greater than 5. Complete the following equation. An additional charge of 0.2 per minute (or fractional part) for all minutes exceeding 30 hours. Cost of current model = $41,000 4 0 obj Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. Now this term is multiplied to nine and the product is fifteen. x C 5 > 9 The bill for Conservation Usage would be between or equal to $31.32 and $52.12. The measure of the second angle is 74, the measure of the first angle is \(\frac{74^{\circ}-10^{\circ}}{4}\)=\(\frac{64^{\circ}}{4}\)=16, and the measure of the third angle is 90. Exercise 6. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Q:jessica is walking home from a friend's house. In the problem above, x is a variable. Let's compare the two-digit numbers, 32 and 14. (d) What time should Sarah leave her house? Let x be the measure of the first angle. Due to the drought in California, many communities have tiered water rates. Write a function rule that represents a sentence. The measure of the other angle is 7x+3. x=37 This study proposes an air circulation system that can forcibly circulate the lowest cold air to the top of indoor smart farms, and it has a width, length, and height of 6, 12, and 2.5 m, respectively, to reduce the effect of temperature differences between the upper and lower parts on the growth rate of plants in winter. The even whole numbers less than $6$ are $0,2,4$. There are different, A:GiventhatShewillpay=$24.72fixedand$1.32perhefvariable.Letnoofhef=xTotalcost=, Q:"Princess Tower" in Dubai is considered the world's tallest residential building, towering to 101, Q:Lin and Noah eash have their own recipe for making sparkling orange juice x + 2 = 8: The difference between a number and seven is negative three. Q:Nine less than five times a number is equal to 30. A:Given that, A right triangle is described as having an angle of measure six less than negative two times a number, another angle measure that is three less than negative one-fourth the number, and a right angle. x=16 Question: One number is two less than a second number. 15 for more than one. Yes, less than can be represented on the number line. Each method is slightly different either in terms of how the variable is defined or how the properties of equality are used to solve the equation. Explain. Example 3: How much less is 28 km than 42.6 km? How do you simplify the expression #3x-x+4#? Let x be the number. x+\(\frac{x}{2}\) =114 The instructional goal of this example is to make clear that there are different ways to solve a linear equation as opposed to one right way. Select students to share their work with the class. Therefore, What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x+y? The new thrusters "have 2.4x the thrust and 1.5x the specific impulse of our first gen thrusters," SpaceX said in another Sunday tweet. Multiply the numerator and denominator of fraction 1 by the denominator of fraction 2. 4.) Q:For this item, select the answers from the drop-down menus. The equation is x+3x-5=143. A. -3x=-39 What is the measure of each angle in degrees? Revenue will only be $0.9 trillion (1.6 percent) higher than projected in May, adding to deficits in the 10-year window (see chart above). Additional characteristics are available from a previous study. Find the number. <> 1. Write an algebraic expression for this statement. Replacing x with 6 in 14x+8 gives 14(6)+8=84+8=92. D: P>-3 x=13.5 Add comment. For Free. The number -11 is more than 3+54.5=x-54.5+54.5 1 hour rate = $17. Write the algebraic equation: Four more than x is 9. Why or why not? the product of 5 and a number: 5a: 6 more than twice a number: 2x+6: two less than a number: x-2: the sum of 9 and a number: 9+x: two less than three times a number: 3x-2: a number subtracted from 12: 12-x: five increased by three times a number: 5+3n: 10 times the sum of x and 3: 10(x+3) the product of 4 and a number: 4x: the ratio of a number . what is the number. 3 half a number plus two. The three main components of algebraic expressions are numbers, variables, and arithmetic operations. 7x-5=7x+8 Use x for the variable. The sum of the measures of the two angles is 140. The sum of the two angles must be 90. Select a specific market. 31 increased by q. Answer: x - 6 9Step-by-step explanation: Kiyttv Kiyttv 01/19/2021 Mathematics High School answered Six less than a number is at most 9 1 See answer Advertisement There is no smallest negative integer. Question 4. 5x+3y=29, im literally just trying to know what the answer of this question: What is the result if you simplify 24/32? and i cant find the answer anywhere. Steve yours do u mean > with the line under it, No the answers are: Pick the choice that matches that. Write an algebraic equation and solve. x+\(\frac{x-10}{4}\)+90-90=180-90 2x+3y=26 We also provide some thoughts concerning compliance and risk mitigation in this challenging environment. Use the variable g to represent Greg's savings. A solution: Let x be the first number. If half of a number is equal to 5 more Find the measures of the three angles in degrees. 9.One half of a number is four. 6x+9=9x-30 Example 1. What would that mean if the cost is equivalent in Germany, A:Given data: If the sum of the two numbers is 76, find both numbers. Another angle is twice the first angles measure. For example, if we want to show the comparison between 2 and 3 we will say it as 2 is less than 3 or 3 is greater than 2. \(\frac{9x}{4}\)=99 11 less than the product of a number y and -2 is z. Find answers to questions asked by students like you. Let q represent the number of quarters. Solution Three Replacing x with 6 in 7x+4 gives 7(6)+4=42+4=46. What is the number? many gallons of paint he. calls for 10 ounces of cream Therefore, the measures of the angles are 46, 42, and 92. F. Question 6. Become a problem-solving champ using logic, not rules. It only tells us that one value is smaller than the other value. -2x-6+(-\(\frac{x}{4}\))-3=90 5x=80 As a part of her assignment, Erica pasted 8 leaves on sheet-I and 9 on sheet-II. the total of The total of six and some number 6 + x increased by A number increased by two x + 2 added to Eleven added to a number x + 11 Subtraction ( ) minus A number minus seven X - 7 less than Four less than a number X - 4 the difference of The difference of a number and three X - 3 less Nine less a number 9 - X February 27, 2023 endeavor air pilot contract No Comments . endobj 10 = x - 5 9.) The measure of one angle is thirteen less than five times the measure of another angle. Always start by setting a variable and make adjustments on other variables based on the given statements. -3(x + 4) = -3x - 12. Therefore, we have: 2x 6, which translates to "6 less than 2x" or "6 less than twice a number" Answer link If the statement says "16 is smaller than 18" is true. In order to place them all in two sheets, she pasted 8 on sheet-I and 9 on sheet-II. Let's pick "x" for the number. Answer: In a triangle, the measure of the first angle is six times a number. Since one angle measure is x, it is 25.5. It is a, Q:3 To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of A number increased by 13 x + 13 5 less than 10 10 - 5 A number decreased by 7 x - 7 Difference between x and 3 x - 3 Difference between 3 and x 3 - x Twice a number 2x Ten percent of x 0.10x Ten times x 10x Quotient of x and 3 x/3 Quotient of 3 and x 3/x Five is three more than a number 5 = x + 3 The product of 2 times a number is 10 10 Looking forward, Primo expects to see between $2.3 billion and $2.35 billion in revenue for 2023 . Therefore, the angle measures are 54, 45, and 81. In algebra, the translates to 5x = 3y . \frac{6}{x -, What is the difference between and equation and an expression? Given below are a few more examples showing the comparison between numbers using less than sign. Distancetravelledbyrestofthefamily. S No Subject Number of Questions 1 English Language 28-32 questions, or roughly 20% of the paper 2 Current Affairs, including General Knowledge 35-39 questions, or roughly 25% of the paper 3 Quantitative Techniques 13-17 questions, or roughly 10% of the paper 4 Legal Reasoning 35 . 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. A less than sign is defined as the math symbol used to compare numbers where one value is less than the other. A comparison, A:Given 1 Then, the measure of the first angle is 6x, the measure of the second angle is 6x-9, and the measure of the third angle is 3x+6x. To use the less than sign, we draw the wide-open side of the symbol towards the greater number and the pointed end towards the smaller number. Twelve less than a number is -3. Lin mixture = 3:4 Explain. The value of the first number is The value of the second number is. It is an inequality symbol used to show the comparison between two or more quantities. Answer. If we flip this symbol, we get the symbol for greater than. Then, the measure of A is 2x, and the measure of C is \(\frac{x}{2}\)-2. Replacing x with 57.5 in 3+2x gives 3+2(57.5)=3+115=118; therefore the measure of the angles is 118. This marked a sharp annual increase from the 2021 figures of $91 million and 56 cents per share. next 5, Q:*8. In the table, both the distances and the times required to achieve them form infinite geometric series. 2x+3y=26 Otherwise, continue to Step 2. Which equation matches the statement "The product of 3 and the difference of a number and 10 is 15?" The sugar sweet company will choose from to companies to transport it sugar to the market. 5x + 4 = 35: Eight less than nine times a . Making educational experiences better for everyone. Translate the sentence into a mathematical equation. Those are the actual answer dude- (1+3)x-5=143 Translate into an equation. The, Q:You can purchase a pound of cleaned romaine lettuce for $1.69. Replacing x with 12 in 7x-6 gives 7(12)-6=84-6=78. - the cube of a, Q:Mang Jose wants to paint the exterior of his house. L+S12 3.) Find the measure of each angle in degrees. Six less than twice a number is forty five. The sum of 16 and twice Gail's score, Write two equivalent expressions for the opposite, or additive inverse, of each polynomial). Identify the property illustrated by each equation (word bank: Associative Property, Reflexive Property, Commutative Property, Substitution, Distributive Property, and Symmetric Property). If he bought. Write an expression for the number of dimes. The ratio of 16 to x. Replacing x with -44 gives -2x-6 gives -2(-44)-6=88-6=82. Our experts can answer your tough homework and study questions. -3x + 2 - 3 = 12x. Other Math questions and answers. 2. Since x is the measure of B, then B is 52. Use the fact that 1 km is approximately. The difference of a number and six is less than nine. Answer: (7.48,, Q:Mario wanted to form a circle and a square. Find the measure of each angle in degrees. Include an example of each. Convert the decimal to a fraction. Which sheet has fewer leaves? A triangle has angles described as follows: The measure of the first angle is four more than seven times a number, the measure of the second angle is four less than the first, and the measure of the third angle is twice as large as the first. Explanation: "Six less than.." means "Subtract 6 from". Then, when Achilles runs 10 feet, the tortoise will be 5 feet ahead. oe ./2sVl=g$ {z"hj7mfA+-xwl B The less than symbol is '<'. If necessary, round your answer to the nearest whole number. The product of 2 less than x and 7 is 56. Due to the drought in California, many communities now have tiered water rates. (4+1)x-10=360 Mathematics, 21.06.2019 21:30. Let x be the number. Solve for F1 in terms of FT, d1, and d2. Write a word phrase for the algebraic expression: 2t - 9 a. nine fewer than two times a number t b. nine more than two times a number t c. nine fewer than a number t, Translate into algebraic expression. answered 09/09/20, Dr Bob Loves Science (especially chemistry and math). A) m < 1 B) m > 1 C) m < 13 <---------------------- D) m < 13 2. x + 4.5 5.5 A) x 10 B) x 1 <---------------------- C) x 0.1 D) x 1 3. p + 12 > 9 A) p > 21 B) p > 3 <---------------------- C) p > 21 D) p > 3 4. 5x=80 8 less than a number is 15. the quotient of five and a number. 5x-10+10=360+10 Fill in the blanks. 10 (29) is equivalent to 12. What do these sums represent? 8 hours rate = $150 Example 2. Subtract 3 2. xZn8}7"ElN&;g:n-lw*ZuaT(/.[ve-oY\.-->~l^fo\- &;?,,Q24g[.p~v/`.,:HWu*-wa]2:T$vP>?3$VT,%?6 v-[XxSw]s;ih  r[X'c/WQCB>@j~Kp Replacing x with 13.5 in 2(4x+11) gives 2(4(13.5)+11)=2(54+11)=2(65)=130. Explain your answer. 7.) A:Let, after x miles of driving do the two plans cost the same. Twice a number less six is greater than or equal to nine and half a number. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . Replacing x with 9 in 6x-9 gives 6(9)-9=54-9=45. Providing specialized services, targeting particular demographics, or narrowing your attention to only those products that best meet the demands of your clients are all examples of serving a small niche. One angle measures nine more than six times a number. Question 2. Now write two equations using the information in the problem. First, set the "number" as variable x. The quotient of a number and seven is two 9. 4.A Determine the corresponding mathematical symbols for the given algebraic expressions in words. The measure of one angle is described as twelve more than four times a number. translate the following statement into an inequality. 2.b <> 425L+125S4500 The greatest negative integer is -1. Let's observe the numbers, 400 and 350. 4x-5+5=143+5 x=-44 Answer: Replacing x with 13 in 6x+9 gives 6(13)+9=78+9=87. 3 -9x=396 Assume they are congruent, which means their measures are equal. Make sure students see at least four different methods of solving the problem. Step 1. Papers addressing access to healthcare, the bioethical implications of recent Supreme Court rulings, environmental ethics, data privacy, cybersecurity, law and bioethics, economics and bioethics, reproductive ethics, research ethics, and pediatric bioethics are sought. 5x+100=180 19. 1. Part b What is the cost when the two companies charge the same? Busch Gardens' newest attraction, Cobra's Curse puts a spin on family thrills with this one-of-a-kind spin coaster. Ms. Sue. C: M <13 Nine less than the product of 20 and Mabel's height. Give a simple example. He tells, A:WhenLin'sdadstopscmdtake5minutestotakephoto. ), four more than a number is no more that than thirteen. This gives the equation 7x + 2 = 2 6 + 5x. Part A Can u plz translate each sentence into an equation? It's ideal to wait 18 to 24 months between pregnancies. #2x-6#, which translates to "6 less than 2x" or "6 less than twice a number". Report. ., Q:8. In other words, "<" means "Less than. +v_pE,+50~^(.jon'Kn?=37eweJ|.qi0Hk2lX( *HMa)Ih;[j answered by oobleck September 10, 2021 Answer this Question Still need help? . The answer is 1. \(\frac{3x}{2}\) =114 x + 12 = 40: A number increased by fifteen is sixty-two. The sum of 52 and y is equal to 62.34. L=9, Then, the measure of one angle is 4x+12. What is the solution of the system? . When Achilles runs 20 feet, the tortoise will be 10 feet ahead. Answer: The synonyms for less than are 'lower than', 'below', 'fewer', and 'smaller than'. four times the quantity three plus x squared This problem has been solved! 57.5=x 10 PM Current Affairs MCQs Archive - Click Here. 7n - 6 = -12 Eight more than four times a number is -12. 6x > 39Three-fourths 6 + x > -39 Three-fourths 6x < -39Three-fourths 6 x less-than-or-equal-to negative 39 and three-fourths, In Booneville, the use of landlines has been declining at a rate of 20% every year. Determine the measure of each angle in degrees. Jill, Meg, and Beth are sisters. An algebraic expression is a concise way of describing mathematical objects through the use of numbers, variables (letters), and arithmetic operations such as addition, subtraction, multiplication, and division. D) None of these, the equation is incorrect. 10x+20=180 Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Multiply 2x and -1 by 4. For example, if x < 5 is given, it means the value of x is smaller than 5. 4n + 8 = -12 Step 4. it is important to take note of keywords which translate directly to mathematical operations. (Write your answer in a complete sentence, being sure to include units. . A number minus seven yields ten 3. The substitution rule states that If a = b then a can be substituted for b in any equation or expression. Translate this phrase into an algebraic expression. If x equals 1.5, y equals 20.5, and w. How do you write an algebraic expression for the statement "the product of 9 and t squared increased by the sum of the square of t and 2"? Most questions answered within 4 hours. Dr. G. Get a free answer to a quick problem. The sum of the measures of the angles in a triangle is 180. On a daily basis, we post 10 MCQs, based on daily current affairs from PIB, The Hindu, Indian Express, DTE, TOI, and Live mint. Therefore, the weight of the calf is smaller than the weight of the cow. If the tens digits are the same, we will compare the digits at the ones place. 22,360 (b) How long will it take Sarah to drive the next 10 miles? Another question on Mathematics. After 12 weeks traveled, the total miles will equal? The sum of the measures of the angles is 195. C: a-3>-2 Most people know about Rosa Parks and the 1955 Montgomery, Ala., bus boycott. One angle is five degrees less than three times the measure of another angle. m < =1 m > 1 m < 13 m -13 2.) Negative thirty-nine and three-quarters is "". 9x &= 51\\ Upvote 0 Downvote. x=74 Exercise 1. The second angle is 3(37)-5=111-5=106. 5. C, 1. By comparing the digits, we get, 350 < 400. This 5-pack of soft and bouncy sponges won't soak up all your liquid and cream products and mimics the exact shape of the Beauty Blender: a round body and a pointed precision tip. Find his basket rate in baskets per minute. Since -58, the angles are not congruent. Explain with an example. Therefore, the measure of the second angle is 78. 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, Select the correct answer in each drop down menu using the equation of the line of best fit. Use the variable j to represent Jenny's age. Less than or equal to is something either lesser than or equal to a given quantity. Which sentence can represent the inequality mc002-1.jpg? What do we need to do first to solve this problem? More than one miscarriage or abortion. More than 19 million new cancer cases will be diagnosed globally by 2020, and more than 10 million people . The bill for Normal Usage would be between or equal to $49.36 and $86.32. . Translate into an algebraic expression. There are different rates for Conservation Usage, Normal Usage and Excessive Usage. The way you find the answer may be different from your classmates or your teachers. Use the variable j to represent Julie's height. Then six less than three times a number is: Get a free answer to a quick problem.