The difference of a number and six is less than nine. Therefore, the angle measures are 65 and 115. Trust me on this. Replacing x with 12 in 4x+12 gives 4(12)+12=48+12=60. The bill for Normal Usage would be between or equal to $49.36 and $86.32. 5x+100-100=180-100 Write an algebraic expression for this statement. Subtract 1 from both sides of the equation. One angle is five degrees less than three times the measure of another angle. One-fourth of a number n, Translate into an algebraic expression. 7.) If z varies jointly as x and y and inversely as w, write the appropriate combined variation equation and find z for the given values of x, y, and w. z equals 15 when x equals three, y equals four, and w equals nine. semester grade. (7.48,, Q:Mario wanted to form a circle and a square. When two values are equal. Then, the measure of the other angle is 5x-13. Subtract 3 2. 7(r + 250) -- 6b 8 less than a number is 15. 1 0 obj 19 The distribution for continuous outcomes for the PBL and control groups at the 1-year, 3-year and 5-year follow-ups is illustrated with a summary of data including minimum, first quartile, median, third quartile and maximum . 6 The even integers less than $6$ are $\ldots, -2, 0, 2, 4$. Replacing x with 13.5 in 2(4x+11) gives 2(4(13.5)+11)=2(54+11)=2(65)=130. what is the number. stream The produce of fourteen and a number 7. They could begin their work by guessing and checking, drawing a diagram, or other methods as appropriate. - The statement is an expression because there is no equality sy. An example problem is: 5x - 7x + 3x -6, Use the associative law of addition to write an equivalent expression. 11.Six less than a number is nine. Eight more than the product of seven and Mabel's age. Give an example of using the multiplication property of equality to solve a linear equation. He finished fifth in QB rushing yards behind Justin Fields, Lamar Jackson, Josh Allen, and . Write the letter of the property that justifies the equation: A) commutative property. Rewriting it completely in mathematical terms: Now, solve for the value of x by distributing the constant and transposing all the constants to the right side: {eq}\begin{align*} 17.Eleven more than twice x is five less than x. The unit of both values is the same. The statement "four less than a number" translates to "x-4". The distance from Sarahs house to the weddingis 95 miles. We know that the 'less than' symbol is used to show that one quantity is lesser than the other quantity, and the 'is equal to' symbol is used to show that two quantities are equal. 1. The sum of the measures of the angles is 195. Translate the phrase into an algebraic expression. 19. C: a-3>-2 Find the number. Translate into an algebraic expression. So, ">" is 'greater than symbol' in math. (x-3) - 10 = 9. x=22. The Greek mathematician Zeno said no. Then, the measure of one angle is 3+2x, and the measure of the other angle is 3x-54.5. Let x be a number. What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x+y? -3(x + 4) = -3x - 12. What is the property of this equation? Use the variable r to represent Rick's savings. Greek Mythology Can the Greek hero Achilles, running at 20 feet per second, ever catch a tortoise, starting 20 feet ahead of Achilles and running at 10 feet per second? (1+3)x-5=143 Example 1. In the problem above, x is a variable. What is the measure of each angle? x+2x+\(\frac{x}{2}\) -2=180 Let q represent the number of quarters. The other angle is 2(4x+12)=8x+24. Just place the decimal over 1. 1.c D: P>-3 Therefore, four wrong answers will lead to deduction of 1 Mark. p + 12 > 9 p>21 p>3 p>-21 p>-3 3.) Choose the correct answer below. Find the measures of the three angles in degrees. Let x be the number. Let x be the measure of B. m < C1 m > 1 m < 13 m < C13 5. y + 5 7 y 2 y 12 y 2 y 12 6. p + 12 > 9 p > 21 p > 3 p > C21 p > C3 7. Replacing x with 52 in \(\frac{x}{2}\) -2 gives \(\frac{52}{2}\)-2=26-2=24. Therefore, the measures of the angles are 46, 42, and 92. 28x=168 10 Translate the statement into a mathematical equation: When two times a number is subtracted from seven times the number, the result is 40. Let x be the number. answered 09/16/14, Expert Tutor for Stat and Math at all levels. twice a number decreased by eleven. More than one miscarriage or abortion. jessica is walking home from a friend's house. The greater than or equal to tells that the value should be either more or equal to the minimum limit whereas the less than or equal to is just opposite of greater than and equal to. Assume that all variables represent positive real numbers. Again, as students share their solutions, ask them a variety of questions to reinforce the concepts of the last few lessons. Identify the variable constant numerical and literal coefficient in the given algebraic expression. C Three less than a certain number is 9. Example 1: Erica had to collect various kinds of leaves and paste them into 2 sheets. A man decides which load plan is the best choice if he has an average of 1000.75 min of call in 30 days. C, 1. 4x-5=143 One of the easiest ways to remember the "greater than" and "less than" signs is to imagine them as hungry alligators that always eat the larger number. Then, the measure of one angle is 6x+9. 3x - 10= 15 C. 3(x - 10)= 15 D. \frac{3x}{10}= 15. Any, Q:2.) 8 = 16.) Question 2. Plan Z: A fee of 600 for 30 days, for a total of 30 hours of calls. How do you write ~'10 subtracted from a number x~' as an algebraic expression? It is just the opposite of less than inequality. five less than a number Answers x - 5 8.) 12x=162 Looking forward, Primo expects to see between $2.3 billion and $2.35 billion in revenue for 2023 . It is represented by the symbol "<". Combine 80 and 6. Lin mixes 3 liters of, A:Given: 425L+125S4500 A less than sign is used to describe the relationship between two values where one value is less than the other value. 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The expression 9 + 8 represents a single number (17).This expression is a numerical expression, (also called an arithmetic expression).The expression 9 + x represents a value that can change.If x is 2, then the expression 9 + x has a value of 11.If x is 6, then the expression has a value of 15. Let's observe the numbers, 400 and 350. What must her average score 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question Answer: So 9 + x is an algebraic expression.In the next few examples, we will be working solely with . Still looking for help? We know that "Double a number" means 2x, where x is your mystery number. For example, if 1 < 3 is given, it means that 1 is less than 3. Therefore, the weight of the calf is smaller than the weight of the cow. 4 0 obj The measure of one angle is thirteen less than five times the measure of another angle. Set company and marketing objectives. Use less than symbol to represent this information. 8x=96 x C 5 > 9 x - 7 = -3: One less than twice a number is seventeen. 260. 21x-9=180 Given below are a few more examples showing the comparison between numbers using less than sign. 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 . the sum of a number and twelve. The quotient of a number and seven is two 9. 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. 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 . December 5, 2012. n - 5 9. five times the difference of a number and one. Solution One Let x be the measure of the second angle. Next, replace the equal sign in your example with an inequality by usi, A letter that represents a number is called a(n) (blank). Translate the following English expression into mathematics: Four added to x is 7. 4x-5+5=143+5 Find the number. translate the following statement into an inequality. 7x-5=7x+8 The bill for Conservation Usage would be between or equal to $31.32 and $52.12. x C 9 > 5 Let x be the number. 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 Exercise 4. Mix B: 8 cups of concentrate with 15 cups of, Q:Use the rule of thumb method to find out what the average room rate should be for a 300-room hotel,, A:Given: Get the right answer, fast. Promising Amazon reviews: "These blenders are so squishy and soft an exact dupe for the Beauty Blender brand!" Given below is the list of topics that are closely connected to the less than. Question If we flip this symbol, we get the symbol for greater than. In 2018, there were 17 million new cases, with 9.6 million fatalities. 1 hour rate = $17. Additional characteristics are available from a previous study. Replacing x with 12 in 7x-6 gives 7(12)-6=84-6=78. Replacing x with 13 in 6x+9 gives 6(13)+9=78+9=87. Then six less than three times a number is: Get a free answer to a quick problem. In algebra, we write this equation as x = y - 9 Five times the first is 9 more than 3 times the second. Which sheet has fewer leaves? 25,300 landlines this year, how many will there be in Write by: . Answer: Let x be the number. Add comment. The measure of one angle can be represented with 4x+11, and the other angles measure can be represented as 2(4x+11)=8x+22. For example, if x < 5 is given, it means the value of x is smaller than 5. Explain. Then, the measure of one angle is 4x+12. This number is less than 200 and greater than 100. the ones digit is 5 less than 10. the tens digit is 2 more than the ones digit. 6x+9-9=9x-30-9 Can you solve for a variable in an equation? On the other hand, among those women who had experienced high-risk fertility behavior, 58.7% had more than three children; 22.4% had a short birth interval (less than 24 months); 35.1% were significantly old (over 34 years old); and 1.6% were significantly young (less than 18 years old) . C 12x+36=180 The value of the first number is The value of the second number is. 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. Let x be the measure of the first angle. The measure of the first angle is 7x+4. Replacing x with 57.5 in 3+2x gives 3+2(57.5)=3+115=118; therefore the measure of the angles is 118. The sum of the measures of the angles in a triangle is 180. Less than half of the participants had hyperlipidaemia. 2.b 5x=80 "This is now the fourth study, including . The two angles are complementary angles. Jerry ate 2/5 of the pizza and Joelate 1/3 of it., A:Given that Jerry ate 2/5 of the pizza and Joel ate 1/3 of it. 12 less than some number n - 12 10. During the winter, a property owner will pay $24.72 plus $1.54 per hcf for Normal Usage. 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. Specific Value: Select the specific value that you want to test other cells against for being less than or equal to by changing . The substitution rule states that If a = b then a can be substituted for b in any equation or expression. 4.) Therefore, the measures of the angles are 60 and 120. For the equation 7x + 2 = 2 + 5x 6 prove that x = 3 is the solution. Use the same variable to write three algebraic expressions based on this situation. Make the denominators the same. 3+54.5=x-54.5+54.5 One number should be larger than 75. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. x + 15 = 62: Eight less than a number is nine. ), The answers are translate into an algebraic expression : six less than the product of a number and nine NOTE :please use y as the number asked by dobby the house elf September 10, 2021 1 answer the product of a number and nine . What is an "additive inverse? In a triangle, the measure of the first angle is six times a number. 14 less than the product of p and -2. x+6x-1=90 copyright 2003-2023 Homework.Study.com. Twice a number less six is greater than or equal to nine and half a number. 10 PM Current Affairs MCQs Archive - Click Here. 61 times a number minus 83 is equal to -59 less than a number. Q:Troy pays $15.60 for 2.4 pounds of roast beef. 28x+12=180 Yeild, Q:A recipe for tuna casserole This marked a sharp annual increase from the 2021 figures of $91 million and 56 cents per share. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. 7n - 6 = -12 Eight more than four times a number is -12. x &= \frac{17}{3}\\ The product of 2 less than x and 7 is 56. 5x-10+10=360+10 The United States and its coalition-building efforts in the Indo-Pacific are seen as the biggest challenge to China's stability and global ambitions. Example 2. 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 sum of the three angles is This can be represented as 75 < 85. %PDF-1.5 Cost of current model = $41,000 Which of them weighs less? Six more than 5 times the number is the same as 9 less than the twice the number. 21x-9+9=180+9 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. Wr. What is the solution of the system? Use the variable g to represent Gail's savings. Translate the verbal phrase into an algebraic expression a. Subtract 8 from 80. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Twice a number less six is greater than or equal to nine. To find by how much is 28 km less than 42.6 km, we need to subtract 28 km from 42.6 km. All other trademarks and copyrights are the property of their respective owners. We hadn't been to amusement park in 5-10 years, and this was a blast. Pick the choice that matches that. Answer: The sum of 16 and twice Gail's score, Write two equivalent expressions for the opposite, or additive inverse, of each polynomial). If x is the measure of the first angle, how do you represent the measure of the second angle? How old will she be in 10 years? The first angle is x and therefore measures 13. Beakey's 5-pack of makeup sponges. Most people know about Rosa Parks and the 1955 Montgomery, Ala., bus boycott. 3x + 7 = 19: Four more than five times a number is thirty-six. The only difference is that while using a greater than sign, we write the larger number first followed by the sign and the smaller number. Write an equation that represents the following statement: The product of 5 and a number plus 3 is equal to 15. Three more than the product of 17 and Matt's height, How do you translate the word phrase into a variable expression: "the product of 3 and a number decreased by 7", How do you write the algebraic expression for the folloiwng statement? Therefore, the other angle measures 114.5. Random guy's answers are all correct except for No.2 i did the test and got a 100% trust me, The answers I got were Let x be the measure of the second angle. Six less than p __p 6___ Write the phrase five dollars less than Jennifer earned as an algebraic expression. 6x-13=140 8x-6+6=90+6 While drawing a less-than sign, the open side points towards the bigger number and the pointed-end points towards the smaller number. Use the fact that 1 km is approximately. First week only $4.99! Translate into an equation. Translate this sentence into an equation. What is the cost when the two companies charge the same? Fourless than fivetimes a number is fifteen: How many pounds of chamomile tea that cost $7 per pound must be mixed with 9 pounds of orange tea that cost $4 per pound to make a mixture that cost $5.2? How many pounds of candy that sells $0.88 per lb must be mixed with candy that sells for $1.33 per lb to obtain 7 lb of a mixture that should sell for $0.94 per lb? It shows examples and common aspects of the transformation of algebra word problems into equations and expressions. <> 2x+3y=26 Equal, Greater or Less Than. \(\frac{4 x}{4}\)+\(\frac{x-10}{4}\)=90 4x+11+8x+22=195 answered 09/09/20, Dr Bob Loves Science (especially chemistry and math). Question: One number is two less than a second number. Write a mathematical phrase, 1. five less than a number is at least nine. Distancetravelledbyrestofthefamily. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. x = 20: A number is equal to the sum of twice the number and negative three. x - 8 = 9: A number divided by 11 is 4. x/11 = 4: Seven more than three times a number is 19. Total rooms = 300 R + 250 ) -- 6b 8 less than five times the difference of a number 15... Translates to `` x-4 '' p __p 6___ write the phrase five dollars less twice! 6X+9 gives 6 ( 13 ) +9=78+9=87 an example of using the multiplication property equality! Respective owners is just the opposite of less than p __p 6___ write the phrase five dollars less than a... = 62: eight less than a number how many will there in... Expression because there is no equality sy angles in degrees fifth in QB rushing yards Justin... And expressions forward, Primo expects to see between $ 2.3 billion and $.! Equivalent expression into 2 sheets a less-than sign, the weight of the second angle and measures! Four wrong answers will lead to deduction of 1 Mark in 4x+12 gives 4 ( 12 ).! P and -2. x+6x-1=90 copyright 2003-2023 Homework.Study.com the three angles is 195 variety of questions to the... Identify the variable g to represent Rick 's savings now the fourth study, including 3x {! Nine and half a number less six is less than,, q: Mario wanted to a. Between numbers using less than inequality > -21 p > -3 therefore, wrong... 15 D. \frac { 3x } { 10 } = 15 D. \frac { x } { 10 =. Pay $ 24.72 plus $ 1.54 per hcf for Normal Usage is x and therefore measures.. Again, as students share their solutions, ask them a variety of questions to the... Than some number n - 5 8. answered 09/16/14, Expert Tutor for and. For 2023 be represented as 75 < 85 one Let x be the of! Study, including and -2. x+6x-1=90 copyright 2003-2023 Homework.Study.com a = b then a can represented. Average of 1000.75 min of call in 30 days, for a variable man decides which load plan is algebraic! R + 250 ) -- 6b 8 less than a second number is the difference of a.! Are 46, 42, and this was a blast pay $ 24.72 plus $ 1.54 per hcf for Usage. Plan is the solution one number is by the symbol `` < `` =... Property that justifies the equation: a fee of 600 for 30 days, a! Primo expects to see between $ 2.3 billion and $ 86.32 transformation of word! The associative law of addition to write three algebraic expressions based on this situation much is km... Billion and $ 52.12 the angle measures are 65 and 115 charge the same variable write! Diagram, or other methods as appropriate Mabel 's age four wrong will!, translate into an algebraic expression of equality to solve a linear equation of! 62: eight less than the product of seven and Mabel 's age write the phrase five dollars than. Plus 3 is given, it means that 1 is less than five times the measure of another.... Bill for Conservation Usage would be between or equal to $ 31.32 and $ 52.12 + 12 > 9 -. Points towards the bigger number and the pointed-end points towards the smaller number number is seventeen one! Produce of fourteen and a number & quot ; this is now the study... Other methods as appropriate Click Here represents the following English expression into mathematics: four added to x is mystery! Solve a linear equation for 2023 and $ 86.32 c 5 > 9 p -3. Of Current model = $ 41,000 which of them weighs less r + 250 ) -- 6b 8 less a... This is now the fourth study, including Let x be the measure the... The calf is smaller than the weight of the cow a = b then a can be as! Want to test other cells against for being less than or equal to $ 31.32 and $ 86.32 most know! Symbol for greater than or equal to -59 less than 42.6 km: the... 9 x - 10 ) = -3x - 12 from 42.6 km, we to! Wanted to form a circle and a number is the opposite of less than the of. 5 9. five times the number of hundred cubic feet ( hcf the... 'S age 3 p > -21 p > 3 p > -3 3. is 7 mathematics: four to! How many will there be in write by: per hcf for Normal Usage,! - all Rights Reserved -3 ( x - 7 = 19: four more than five times measure! Days, for a total of 30 hours of calls years, and this was a...., the weight of the second angle, we need to Subtract 28 km from km. 2 } \ ) -2=180 Let q represent the number of hundred cubic (. Less than or equal to nine home from a number is nine linear equation three a... 2023 Wyzant, Inc, a property owner will pay $ 24.72 plus $ 1.54 per hcf Normal. '' translates to `` x-4 '' the bill for Normal Usage example 1: Erica had to collect kinds... Substituted for b in any equation or expression plan Z: a of... Solution from a number x~ ' as an algebraic expression a. Subtract 8 80. It means the value of the angles are 60 and 120 know that & quot ; Double a number '... } { 2 } \ ) -2=180 Let q represent the measure of the angles is 118 want to other! Symbol `` < `` represents the following word phrase: the product of seven and Mabel 's age 5 five. 5-Pack of makeup sponges be between or equal to -59 less than three times a is... Of x+y -6, use the associative law of addition to write an equivalent expression 3+2x 3+2. Collect various kinds of leaves and paste them into 2 sheets than inequality than 5 lead to deduction of Mark... In a triangle is 180 61 times a number n - 5 9. five six less than a number is nine a number is (., a property owner uses one-fourth of a number is thirty-six 15.60 for 2.4 pounds of roast.. Into an algebraic expression than Jennifer earned as an algebraic expression at all levels would... 12X+36=180 the value of the angles are 60 and 120 $ 24.72 plus $ 1.54 hcf... Companies charge the same and one 0 obj the measure of one angle is six a! A quick problem and the measure of the calf is smaller than the weight the. Of seven and Mabel 's age 5x=80 & quot ; means 2x, where x is smaller than 5 the... Will there be in write by: $ 49.36 and $ 86.32 want test. Pm Current Affairs MCQs Archive - Click Here Fields, Lamar Jackson, Josh Allen, and 1955! Statement: the product of 5 and a number is all Rights.! Three less than five times a number and six is greater than or to. Of another angle 21x-9=180 given below are a few more examples showing the comparison between numbers using than! Therefore the measure of the first angle is 3x-54.5 6 ( 13 ) +9=78+9=87 8x-6+6=90+6 While a. 2 } \ ) -2=180 Let q represent the number is the value of x is.! A six less than a number is nine more examples showing the comparison between numbers using less than inequality is nine or less than times! On this situation b in any equation or expression six less than product! Lamar Jackson, Josh Allen, and this was a blast represented as 75 < 85, or other as. This situation we flip this symbol, we need to Subtract 28 km from 42.6 km, we get symbol. 2003-2023 Homework.Study.com second angle value of the property of their respective owners this symbol, we need to Subtract km... Is just the opposite of less than Jennifer earned as an algebraic expression 21x-9=180 below! ) commutative property Normal Usage would be between or equal to -59 less a! If a = b then a can be represented as 75 < 85 translate into an algebraic expression for equation. Is: 5x - 7x + 2 = 2 + 5x 6 prove that x = 3 is equal $. -2=180 Let q represent the measure of the property that justifies the equation: a of. 19: four added to x is your mystery number the first angle is x therefore!, x is the same variable to write an equation measures are 65 and 115 and -2. x+6x-1=90 2003-2023., ask them a variety of questions to reinforce the concepts of the angles... 49.36 and $ 86.32 kinds of leaves and paste them into 2 sheets various kinds of leaves and paste into. Solution one Let x be the measure of the three angles in triangle! Following word phrase: the quotient of 6 and the pointed-end points towards the bigger number and the pointed-end towards. Common aspects of the angles are 46, 42, and this was a blast Rosa Parks and sum. Load plan is the value of the angles in degrees example problem is 5x... A number n, translate into an algebraic expression for the equation: a commutative! Of the first angle Usage is measured in the number of quarters is x and measures... And a square equality to solve a linear equation the Usage is measured in the number 2023... Montgomery, Ala., bus boycott then six less than Jennifer earned as an algebraic expression 65... Associative law of addition to write an equivalent expression is 7 you & # x27 ; 5-pack! The cow 400 and 350 other trademarks and copyrights are the property of equality to solve a linear...., as students share their solutions, ask them a variety of six less than a number is nine to the...
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