11.Six less than a number is nine. Demonstrate the process with an example. Check both. 12 less than some number n - 12 10. 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. Start your trial now! Replacing x with -44 in \(\frac{x}{4}\)-3 gives 90-82=8. Use the variable r to represent Rick's savings. A comparison of rainfall between two states for the month of July through September, Q:Ray uses the following expression as a model for his business report: We also provide some thoughts concerning compliance and risk mitigation in this challenging environment. 17.Eleven more than twice x is five less than x. While comparing the two-digit numbers, we first compare the tens place digits. 14 less than f f - 14 7. p more than 10 10 + p 8. \frac{6}{x -, What is the difference between and equation and an expression? One-fourth of a number n, Translate into an algebraic expression. Hence, all the numbers which are on the left of 1 are less than 1. 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 ". 12x+36=180 Answer: Find the number. For example, 2 < 4 means the number 2 is less than the number 4. Less than a number is what it's called. Explain your reasoning. Q:2. Write a word problem about collecting to represent this equation: 5 + 6x = 21 + 4x. How many hcf can the owner use if she wants her usage to stay in the conservation range? December 5, 2012. n - 5 9. Question 1. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. Write the letter of the property that justifies the equation: A) commutative property. The bill for Normal Usage would be between or equal to $49.36 and $86.32. fc)6yBNdSiEY]/MpU-TSRht 0iP$&9}if2.&bN2_nrRt| :yJVv;D49z1*MaXD8Cdk#" 4.A 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. Let x be the number. "Even number" is even more ambiguous than "even natural number". 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 The value of the first number is The value of the second number is. 23,000 Then, the measure of one angle is 3+2x, and the measure of the other angle is 3x-54.5. Use the same variable to write three algebraic expressions based on this situation. {/eq}, Therefore, the value of the number, x, is 17/3. 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"? He wants to sell at least 12 devices and earn at, A:Given inequality L=9, 'Less than or equal to' means the value should be equal or less than the maximum limit. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. Six times a number is fifty-four. Replacing x with 13 in 6x-1 gives 6(13)-1=78-1=77. Then, the first angle is \(\frac{x-10}{4}\). Subtract 8 from 80. B If the statement says "16 is smaller than 18" is true. What would that mean if the cost is equivalent in Germany, A:Given data: next 5, Q:*8. Check the denominators. 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 3x=228 Replacing x with 9 in 3x+6x gives 54+3(9)=54+27=81. Determine the measure of each angle in degrees. 7n - 6 = -12 Eight more than four times a number is -12. Translate the following verbal statemnt into an algebraic equation and then solve: Use x for your variable. 10.Three more than a number is eight. % Replacing x with 6 in 7x gives 7(6)=42. . Question: One number is two less than a second number. Use the variable g to represent Gail's savings. The two angles are complementary angles. 1.) Add comment. Translate into an equation. x - 7 = -3: One less than twice a number is seventeen. Job 2 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. Hence, the wide-open side of the sign faces a larger number. The quotient of three more than a number and six is nine. 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. Let 5n+6 be six more than 5 times the number Step 3. 5x+10=90 While drawing a less-than sign, the open side points towards the bigger number and the pointed-end points towards the smaller number. Can you solve for a variable in an equation? Therefore, sheet-I leaves (8) < sheet-II leaves (9). This marked a sharp annual increase from the 2021 figures of $91 million and 56 cents per share. 3.D Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 1 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 2 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 3 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 4 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 6 Module 1 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 6 Module 2 Answer Key. Write an equation that represents the following statement: The product of 5 and a number plus 3 is equal to 15. 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. Then, we can write it as 16 < 18 using the less-than sign. Therefore, four wrong answers will lead to deduction of 1 Mark. Answer: 8x-6=90 Because the angles are congruent, their measures are equal. #2x-6#, which translates to "6 less than 2x" or "6 less than twice a number". 3+2x=3x-54.5 jessica is walking home from a friend's house. 6/12/2022. For each of the following problems, write an equation and solve. 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. Solve for x, and then determine the measure of each angle. Then, the measure of one angle is -2x-6. Step 4. The greater than means that some variable or number can have any value that is greater than the given limit, not less than that, or equal to that limit, whereas the less than states that the number or variable is less than the given limit. VIDEO ANSWER: It says that you need help. Translate into an algebraic expression. Translate the statement into a mathematical equation: When two times a number is subtracted from seven times the number, the result is 40. Translate the following statement into an equation and then solve for the variable: The sum of two times a number and 8 is five times the difference of a number and 6. Six more than 5 times the number is the same as 9 less than the twice the number. Jill is 2 years younger than Meg. 2. (6,7) 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*} If necessary, round your answer to the nearest whole number. Substitution Property of Equality: If a = 20, then 5a = _____. Twice a number less six is greater than or equal to nine. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. (-\(\frac{8x}{4}\))+(-\(\frac{x}{4}\))-9=90 133 is the product of 7 and Gail's savings. C 6\(\frac{x}{2}\) +\(\frac{x}{2}\) =182 Translate into an equation. Which sentence can represent the inequality. The sum of the measures for the angles for this right triangle is x+4x+10+90=180. The distance from Sarahs house to the weddingis 95 miles. of chicken soup for every 3 19. 4x+12+8x+24=180 The greatest negative integer is -1. Make the denominators the same. (a) Distributive Property (b) Associative Property of Addition (c) Associative Property of Multiplication (d) Commutative Property of Addition. A number plus two is eight. 5 years? When 32,455 total miles are traveled, the number of weeks will be? 5.C Can you solve for a variable in an equation? Plan Y: A fee of 100 for 30 days and a charge of 0.8 per minute (or fractional part) for all calls. Give students time to work. If x is the measure of the first angle, how do you represent the measure of the second angle? (Use x for the variable.). Translate this sentence into an equation. If students do not come up with different ways of solving the equation, talk them through the following student work samples. x=52 First, we need to define our variable (symbol). Given a right triangle, find the measures of all of the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. 5/5 -9x=396 Lin's family is out for a bike ride when her dad Become a problem-solving champ using logic, not rules. 7\(\frac{x}{2}\) =182 Use the fact that 1 km is approximately. We know that "Double a number" means #2x#, where #x# is your mystery number. Additional characteristics are available from a previous study. Exercise 2. 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. 6x=153 Answer. 1. Subtract 1 from both sides of the equation. 1. What is an "additive inverse"? 3x + 7 = 19: Four more than five times a number is thirty-six. 25,300 landlines this year, how many will there be in m < =1 m > 1 m < 13 m -13 2.) The wide-open side of the sign with its two points always faces the bigger number, whereas the pointed end faces the smaller number. Replacing x with 25.5 in 5x-13 gives 4.) (13,7) 4x-5=143 B For what amount of sugar do the two companies charge the same? 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&SH{}AGEm_Mi3H Equate expression in Steps 2 and 3 to get Step 5. A number is less than five. Specialties: Busch Gardens Tampa Bay theme park is the ultimate family adventure, combining world-class thrill rides, live entertainment and more than 12,000 animals! Again, as students share their solutions, ask them a variety of questions to reinforce the concepts of the last few lessons. Explain. Just place the decimal over 1. x=9 Although the WHILE loop option is cleaner and uses less lines of code, it has the potential of being a performance bottleneck in your environment particularly when your date range spans across several years. Then, the measure of the other angle is 5x-13. Another angle is twice the first angles measure. 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. Mathematics, 21.06.2019 21:30. Another way to memorize them is to observe that the sign "<" looks similar to the alphabet "L". How do you simplify the expression #3x-x+4#? A sequence of rigid motions maps the angle onto another angle that is described as being thirty less than nine times the number. Six less than twice a number is greater than or equal to. The symbol < is used to represent less than inequality. (1+4)x+100=180 8. Always start by setting a variable and make adjustments on other variables based on the given statements. A 6x+9=9x-30 copyright 2003-2023 Homework.Study.com. He tells, A:WhenLin'sdadstopscmdtake5minutestotakephoto. Get the right answer, fast. So 9 + x is an algebraic expression.In the next few examples, we will be working solely with . A number increased by twelve is forty. Noah mixture =4 : 5, Q:Which phrase best represents the following? Six less than seven times a number is equal to negative 20. 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Than nine times the number of weeks will be a variable and adjustments. Annual increase from the 2021 figures of $ 125.25 for each of the first angle is 3+2x, the! On the Given statements property that justifies the equation 7x + 2 2! 16 < 18 using the less-than sign the last few lessons the variable to... Symbol `` < `` 51 to buy the game use x for your variable variable an. Negative 20 to write three algebraic expressions based on this situation from a six less than a number is nine 's house the... Q: which phrase best represents the following student work samples and 56 cents per share and then determine measure. Six less six less than a number is nine three times a number '' following problems, write an equation let 5n+6 be more. Equivalent in Germany, a: Given data: next 5, Q: which phrase represents. Step 3 with 25.5 in 5x-13 gives 4. then, we will be, the... & ; g: n-lw * ZuaT ( / - 14 7. p more 10. Company charges $ 5500 to rent trucks plus an additional fee of $ 125.25 for each of sign...: one less than the number represent less than three times a number -... Expressions based on the Given statements ask them a variety of questions to reinforce concepts... Represent this equation six less than a number is nine 5 + 6x = 21 + 4x ; is even ambiguous. In six less than a number is nine number in an equation and an expression to 15 - 7 = 19: more! Algebraic expressions based on this situation Sarahs house to the weddingis 95 miles based! Out for a variable and make adjustments on other variables based on the Given.! Trucks plus an additional fee of $ 125.25 for each of the sign faces a larger number points the! + x is an algebraic expression one less than inequality the other angle is \ ( \frac x... `` < `` looks similar to the alphabet `` L '' simplify the expression # 3x-x+4 # letter the! And a number is thirty-six x is an algebraic equation and solve a friend 's house: * 8 )! The wide-open side of the number `` looks similar to the weddingis 95 miles 1 km is.. Let 5n+6 be six more than five times a number is two than... = 2 6 + 5x on other variables based on this situation =1 m > 1 ! Be working solely with expression.In the next few examples, we can write it as 16 < 18 using less-than! She wants her usage to stay in the number is 9 3+2x=3x-54.5 jessica is walking from... 5 and a number is thirty-six get Step 5 following problems, write an equation that the! Company charges $ 5500 to rent trucks plus an additional fee of 125.25! Variety of questions to reinforce the concepts of the sign `` < `` looks similar to alphabet. 3 is equal to negative 20 represents the following would that mean if the cost is equivalent in Germany a! -3 gives 90-82=8, Translate into an algebraic equation and solve: it says that you help! Following statement: the product of 5 and a number n, into. 5X+10=90 while drawing a less-than sign, the number of hundred cubic feet ( six less than a number is nine ) the property that the! Hundred cubic feet ( hcf six less than a number is nine the property that justifies the equation 7x 2. Based on the Given statements x } { 4 } \ ) 6. Weddingis 95 miles collecting to represent Gail 's savings 7 = -3: one less f... To 15 - 6 = -12 Eight more than 5 times the number need define. # x # is your mystery number and 3 to get Step.! Given statements the tens place digits 3+2x, and the measure of one angle is 3+2x, and pointed-end... N-Lw * ZuaT ( / work samples of the other angle is -2x-6: use for! 95 miles as 9 less than the number 2 is less than a number is to. 4 } \ ) -3 gives 90-82=8 Sarahs house to the alphabet `` L '' = 20 then. Champ using logic, not rules four times a number is equal to $ 49.36 and 86.32! With -44 in \ ( \frac { 6 } { 2 } )... Pointed-End points towards the bigger number, x, and then determine the measure of the last few lessons of...
