On the number line, negative numbers are to the left of zero. The sum of the measures will be 90 because the angles are complementary. February 27, 2023 endeavor air pilot contract No Comments . If necessary, round your answer to the nearest whole number. 8x-6+6=90+6 This gives the equation 7x + 2 = 2 6 + 5x. B Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Otherwise, continue to Step 2. 4x+12+8x+24=180 The product of 2 less than x and 7 is 56. The measure of the third angle is 2(7x+4)=14x+8. An (blank) is a statement that equates two algebraic expressions. Dear Friends, We are posting 10 PM Current Affairs MCQs for today. If the sum of the two numbers is 76, find both numbers. How do you translate word phrases to algebraic expressions? Again, as students share their solutions, ask them a variety of questions to reinforce the concepts of the last few lessons. Then, the measure of B is \(\frac{x}{2}\) , and the measure of C is 2(\(\frac{x}{2}\) )-1=x-1. An angle measures seventeen more than three times a number. 31 increased by q. Find the number. what is the number. cd9ca*EoeG]Z*%xhm2$\l,C:d_%@]6c#dhdl)ZZxka$$^v t* *(M7]7ak+?z:p#W!3BHwHBM("9|R $).>CIdaAoOg3F%fogLZN:S$m~Ay:JzP+j= vk98>x6+Z>iUbQ9`/((j D).tjd[=F+!a qqLHPi(DRXnj 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. The sum of the measures of the angles must be 180. 3.d We can represent this in two different ways, such as 8 > 5 and 5 is less than 8 (5 < 8). 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. is less than 3, what can you tell, A:To solve this question, we have select two numbers: The synonyms for greater than are 'larger than', 'bigger than', 'higher than', and 'above'. When translating words Into an Algebraic Equation, what are clue words that might help? Let us learn how to compare numbers using less than symbol in this article. endobj Write the letter of the property that justifies the equation.: x + (2x + 3x) = (x + 2x) + 3x A) associative property. Add 4 to both sides of the equation. This memorandum surveys U.S. economic sanctions and anti-money laundering ("AML") developments and trends in 2022 and provides an outlook for 2023. Question 2. Answers: 1 Show answers Another question on Mathematics. D x=13 Translate the following English expression into mathematics: One is less than or equal to z. Robert S. Jack went on a hike for 2 hours and 15 minutes. More than one miscarriage or abortion. The two angles are complementary angles. 2x+3y=26 \(\frac{4 x}{4}\)+\(\frac{x-10}{4}\)=90 Translate the verbal phrase into an algebraic expression a. The wide-open side of the sign with its two points always faces the bigger number, whereas the pointed end faces the smaller number. View this solution and millions of others when you join today! Translate into a variable expression. Then, when Achilles runs 10 feet, the tortoise will be 5 feet ahead. Translate the following statement into an algebraic equation and then solve. What are the measures of the angles in degrees? 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. 4x+x-10=360 5 years? Subtract 3 2. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question He tells, A:WhenLin'sdadstopscmdtake5minutestotakephoto. Achilles will keep cutting the distance in half but will never catch the tortoise. What is the property of this equation? 15 9less than twice a number is less than 2. "the quotient of a number less seven and twenty." more similar questions; About Us; Choose an expert and meet online. Step 4. Six less than p __p 6___ Write the phrase five dollars less than Jennifer earned as an algebraic expression. ". copyright 2003-2023 Homework.Study.com. What is the algebraic expression for the following word phrase: the product of 6 and n? For example, ask students to discuss whether or not this is a linear equation and how they know, to justify their steps and explain why they chose their particular first step, to explain what the solution means, or to justify how they know their answer is correct. (1+4)x+10=90 x=13 For example, 8 is greater than 5. Students practice writing and solving linear equations. If there are So, six times a number is less than negative thirty-nine and three-quarters is: Therefore, the correct option is C. Thank you rero rero rero rero rero rero Advertisement 703898 Answer: "six times a number is less than negative thirty-nine and three-quarters". The quotient of a number and seven is two 9. How long will it take if she bikes at an average rate of One -half a number more than 8 is 20 . The underline in the symbol shows that the value could be equal to or less than the other number. It is a, Q:3 To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of Another angle is twice the first angles measure. Three-fourths of a number 10. Select a specific market. Therefore, the measure of the second angle is 78. 2x + 6 > x + 16 Write the solution in set notation. 'Less than or equal to' means the value should be equal or less than the maximum limit. 4x-5+5=143+5 In the equation, A = p + p r t, t is equivalent to. Find the numbers. This site is using cookies under cookie policy . The distance from Sarahs house to the weddingis 95 miles. Me find the measure to side c and the process to solve the problem you appreciate it : ) Answers: 1. Translate the sentence into a mathematical equation. Therefore, four wrong answers will lead to deduction of 1 Mark. Answer: In the problem above, x is a variable. Answer: 12 = 3x: Half of a number is twenty. 2.C We know the average speed = total distance in the, Q:Lin and Noah each have their own recipe for makingsparkling orange juice. <>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Check both. 2.b 3 0 obj Spending is projected to be $4 trillion (5.5 percent) higher from FYs 23-32 than it was just nine months ago, a product of legislation passed by Congress and changes to economic projections over that time. x = 2x + (-3) Still looking for help? Twice the sum of 6 and the reciprocal of a certain number is 11 . Beakey's 5-pack of makeup sponges. Example 3: How much less is 28 km than 42.6 km? Make sure students see at least four different methods of solving the problem. . The current model costs, A:Given data: 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. The measure of C is 2 less than half the measure of B. A:We can easily solve this by understanding each word in a phrase correctly . Suppose there is an equation in which the following operations have been performed on the variable x, in this order: 1. 5x-10=360 Question 5. The Greek mathematician Zeno said no. 4n + 8 = -12 white paint., A:Given that, to make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of, Q:, or = between the quantities to make a true comparison. A less than sign is defined as the math symbol used to compare numbers where one value is less than the other. Write a mathematical phrase, 1. Each consecutive week, for the She can choose one of two plans. 8 less than a number is 15. Let y be the second number. Twice a number less six is greater than or equal to nine and half a number. If necessary, round your answer to the nearest whole number. 8. 18 The product of Rick's savings and 3 is 51. Have questions on basic mathematical concepts? Cost of the next model is increased by 11.4% than the, Q:Mike plans to spend at most P 45.00 for his projects in Science and Mathematics. 5x + 4 = 35: Eight less than nine times a . 1 hour rate = $17. Get the right answer, fast. Find the number. For example, 5 < 6, represents 5 is less than 6, and 6 > 5 represents 6 is greater than 5. twice a number decreased by eleven. A. Another Happy Days spin-off that found major success outside of the original series, Mork and Mindy let audiences fall in love with Robin Williams, who played an . x C 5. C) multiplication property of reciprocals. 9y so, what's six less than that? The above symbol is used to show that one value is lesser than the other value. #2x-6#, which translates to "6 less than 2x" or "6 less than twice a number". ), four more than a number is no more that than thirteen. Write an equation that represents the verbal description below. Report. When Achilles runs 20 feet, the tortoise will be 10 feet ahead. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. In algebra, we write this equation as x = y - 9 Five times the first is 9 more than 3 times the second. Answer Sample Set B How do you write a quotient of a number and 6 as an expression? % Write an algebraic equation and solve. Then, solve the equation: 'Thirteen multiplied by h is one hundred and four. (x-3) - 10 = 9. x=22. x = 20: A number is equal to the sum of twice the number and negative three. What is the price per pound of the roast beef? the quotient of five and a number. 10x=160 What is the number? Jill is 2 years younger than Meg. 12x=162 Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. If the statement says "16 is smaller than 18" is true. 4 0 obj A:Given query is to find the time taken to finish 10 milesand average speed for different point. (a) associative (b) commutative. 14x * (1/14x) = 1. Vanguard is closing its UK financial planning arm less than two years after its launch in April 2021 after a disappointing number of customers signed up to a new low-cost retirement advice service . 12x+33-33=195-33 Providing specialized services, targeting particular demographics, or narrowing your attention to only those products that best meet the demands of your clients are all examples of serving a small niche. Replacing x with 25.5 in 5x-13 gives A) m < 1 B) m > 1 C) m < 13 D) m < 13 <--------------------- 2. x + 4.5 5.5 A) x 10 B) x 1 C) x 0.1 <------------------- D) x 1 3. p + 12 > 9 A) p > 21 B) p > 3 C) p > 21 <---------------------- D) p > 3 4. The second angle is 3x-5. 10 The product of 16 and twice a number n added to n squared. -3x=-39 Make the denominators the same. oe ./2sVl=g$ {z"hj7mfA+-xwl B Find his basket rate in baskets per minute. Then, the measure of one angle is 6x+9. A solution: Let x be the first number. 5x+100=180 Replacing x with 57.5 in 3+2x gives 3+2(57.5)=3+115=118; therefore the measure of the angles is 118. |(0,2) 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. The sum of 16 and the square of number n. b. Show that the equation y=y0+v0t+1/2at^2 can be rearranged into t=(-v0 plus-minus sqrt(v0^2-4(0.5a)(y0-y))/(2(0.5a)). \(\frac{8}{8}\) x=\(\frac{96}{8}\) Write an algebraic expression for this statement. Mork and Mindy. \frac{n}{6} 2. By comparing the digits, we get, 350 < 400. Question 100% right, That answers to Lesson 6: Graphing and Solving Inequalities Quick Check is Write an algebraic equation for the English statement "Add 5 to the sum of 2 times x and the result is 21.". Your question is solved by a Subject Matter Expert. The number -11 is more than All literal equations have how many variables?

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