Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts. #2x-6#, which translates to "6 less than 2x" or "6 less than twice a number", 59237 views Twice a number, decreased by twenty-nine, is seven. The cube of k k3 t raised to the fourth power t4 Equals Is equal to, the same as, is, are, the result of, will be, are, yields = x is equal to y x = y p is the same as q p = q Multiplication by 2 Two, two times, twice, twice as much as, double 2 Twice z 2z y doubled 2y Multiplication by Half of, one-half of, half as much as, one-half times 1 2 If we divide 1 by 2 (1/2) we get 0.5 or a half! Find an answer to your question Twice a number k plus the quantity s minus 2. "Six less than.." means "Subtract 6 from". 5+2 5+2. What does the phrase "Twice a number x" mean? So twice a number means 2x. How would you write this as an algebraic expression? 0000071957 00000 n
You can specify conditions of storing and accessing cookies in your browser, Twice a number k plus the quantity s minus 2, In an arithmetic sequence, the sum of the first 8 terms is 88. Therefore, the expression is 2 (x-9) or 2 (x-9) %%EOF
Let "x" represent itself as an unknown number. Eight minus two, the answer is six. xref
So we had an expression about division, and it's usually not as sweet and straightforward with obvious words like these. Thirty-two is twice a number increased by eight. That is a common way to represent division in algebra, the division sign is not really used there. That's a great question! What the equal sign is saying is that what's on the left side is the same amount, the same quantity, as what is on the right-hand side. Find the value of x. n11's. 49 increased by by twice a number. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. Example 2: The difference of triple a number and 5. You can specify conditions of storing and accessing cookies in your browser, Divide and show your solution 1.97.2 2.52.5 3.94.5 4.41.6 5.312.3pa help po pls, what is the number of Xwhat is the meaning of twice , 2. It is a variable because it varies each week, but the relationship between what the two friends eat always stays the same. If the perimeter is the sum of all four sides of the field, wow do you write an expression for the perimeter of the field . When we work with long or complicated expressions involving one or more variables, this shorthand makes it easier to follow through the steps on paper at a glance, concentrating it down to the real essentials. -> #2(n+3)#. The given algebraic operations are such as. Answer It is like when you write $ to mean United States Dollars. How do you write 5 less than 2 times a number as a variable expression? In thirteen years she will be twenty-four years old. Triple a number increased by twelve. 6 less than the quotient of z divided by 3 Write an algebraic expression for: 12 fewer than h hats. Free math worksheets, charts and calculators, About Us | Contact Us | Advertise With Us | Facebook | Recommend This Page. 0000016276 00000 n
Write an algebraic expression for: twice a number k plus the quantity s minus 2. they should to see if you are good thinking, why dose p+p-p+p+p work in the answers but some thing like 2 1/2 not work. (C). This is a question you should keep thinking about as we dig deeper into algebra. We know that "Double a number" means 2x, where x is your mystery number. Example 3: Write each phrase as an algebraic expression using the variable n. Phrase. junyanyacooney10 junyanyacooney10 11/08/2020 Mathematics College answered Twice a number k plus the quantity s minus 2 1 See answer Advertisement Then, you want "twice" that number, so multiply by 2. a Question With our Essay Lab, you can create a customized outline within seconds to get started on your essay right away. A large pizza pie with 15 slices is shared among p students so that each student's share is 3 slices. 0000017473 00000 n
Directions: Select the algebraic equation that correctly represents the given sentence. 0000006637 00000 n
2023. Who are the experts?Our certified Educators are real professors, teachers, and scholars who use their academic expertise to tackle your toughest questions. Direct link to andrea's post So we had an expression a, Posted 3 years ago. When you see "quantity" used in math, it can mean the amount or it could mean ( ), which it does here. You could have . This limit represents the derivative of some function f at some number a. state this f and a. lim h->0[(4th root of)(16+h)-2]/h a=? The number "x" is represented as a letter because it is a variable. 0000043840 00000 n
And you didn't have to write it this way. 0
Her old balance was $350, and her new balance is $280. How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? The sum (use plus symbol) of twice a number and 3 3 can be written as 2x+3 2x + 3. Thus "twice a number x" can be written symbolically as 2x. How do you translate into symbols: The difference of six squared and b? How do you write a quotient of a number and 6 as an expression? can be written as the algebraic expression. In the expression "twice a number x is 6" twice indicates to multiply by 2, the multiplicand (the thing multiplied by the multiplier 2) is x, and the word "is" can be expressed by the equals sign. Direct link to HannahTran2005's post Well for one, I think tha, Posted 6 years ago. So twice a number means 2x 2x. Sometimes in math, we describe an expression with a phrase. (Sides meet at right angles. . How do you write a product of a number and 2 as an expression? We know that "Double a number" means #2x#, where #x# is your mystery number. 297 0 obj <>
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), Find one half and one quarter quarter of the following How do you evaluate the expression #2x+1# for #x=1#? Inside the parentheses, expect a sum when the statement just says "and". 1. eNotes.com will help you with any book or any question. Do not confuse this with "Six less" which means "Subtract from 6". The difference (use minus symbol) of triple a number and 5 should be written as 3y - 5. Take a look at the CS tutorials on Khan Academy and you'll see what I mean. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. kingkingdoms332 kingkingdoms332 02/06/2018 Mathematics Middle School answered expert verified Twice a number k plus the quantity s minus 1 See answer Therefore, the difference of the product and quotient is 7w - {\Large{{2 \over v}}}. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Explanation of Numbers and Math Problems Set 2, Solving Systems of Equations by Substitution Method, Consistent and Inconsistent Systems of Equations. 0000003908 00000 n
Therefore, we have: 2x 6, which translates to "6 less than 2x" or "6 less than twice a number". Let us know your assignment type and we'll make sure to get you exactly the kind of answer you need. Direct link to ~panda boy jickle~'s post why does the square over , Posted 5 years ago. In this lesson, we learned how to write a sentence as an algebraic equation. One of the many reasons is that math is more precise and easier to work with than words are. 0000098126 00000 n
Twice a number minus seven equals four. Example 1:Write each sentence as an algebraic equation. This is mostly used when you are multiplying a fraction times a number. Of is the tricky word. 6n. The three main components of algebraic expressions are numbers, variables, and arithmetic operations. How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? How do you translate into symbols: 8 minus the quantity of 7 plus q? Direct link to jacob_tolle's post How could algebraic expre, Posted 7 years ago. 0000016448 00000 n
Find an expression for thrice of s, added with twice of t and subtraction of 9. 0000002224 00000 n
-> #'n+3'#. In the problem, it says "nine less than a number x" which means that something is being taken away from the x so that is smaller. Try our Order of Operations Worksheet Generator. Second number is 3 more than twice the first number Second number = 3 + 2 x Therefore, the second number, in terms of the first number x, is 3 + 2 x. The price of h pieces of candy is $2.00. "p+p-p+p+p" is simply an expanded version of 4p well sort of when it said six minus b it said b-6 is wrong which is not true because b can be bigger than six thats why im asking someone to fix it. Expression. With numbers 1 to 9, we have to make the answer 100. 12 20 24 28 please help I have new clue what it is asking. A farmer has a rectangular field with a length of 30 yards and width of x yards. Hope that helps! 0000017608 00000 n
You can see that "x" is a shorthand way of saying "number of oranges eaten per week". answered 10/01/15, Knowledgeable Math, ESL, Behavioral, Core, SAT, SSAT, and K-6 Tutor. Educators go through a rigorous application process, and every answer they submit is reviewed by our in-house editorial team. Think of "of" meaning to multiply when you are working with fractions. 2n + 5. the product of a number and 6. Direct link to pro's post they should to see if you, Posted 4 years ago. 1 See answer Advertisement . Express the second number in terms of the first number y. Semi-retired with loads of real-life math experience. Example 3:Write each sentence as an algebraic equation. 0000097695 00000 n
Copyright 2020 Math Goodies. 8 minus some number : 8 - t : the difference between a number and 12 : w - 12 . How do you evaluate the expression #2x+1# for #x=1#? Now am 100. The sum on an odd integer and twice its consecutive is equal to equal to 3757. Sometimes in math, we describe an expression with a phrase. 0000011270 00000 n
The product of 2 times a number is 10 2x = 10 One half a number is 10 x/2 = 10 Five times the sum of x and 2 5(x + 2) Seven is greater than x 7 > x Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is . And we can see that, indeed, twice the number 3 is 6 as required. Direct link to Nicholas's post That is a common way to r, Posted 7 years ago. Making educational experiences better for everyone. "nine less" indicates subtraction ("less") and nine is how much less. 347 0 obj<>stream
The difference of twice a number and five. So "the quantity of nine less than a number x" is: (x-9). Get a free answer to a quick problem. Do not confuse this with "Six less." which means "Subtract from 6". So now the expression looks like: x-9. Why cant we have an actual division sign? On the plate is still 1 whole cake or we could say there are two halves (2/2), if we divide 2 by 2 we get 1 or a whole cake (2/2). You take your half (1/2), now I have one half (1/2). How much money does she need to buy a game that costs $68? Steven G. 0000007851 00000 n
Exercise 11.5. x + 6. 6 (n + 3) One less than five times a number. Solution Verified Create an account to view solutions Recommended textbook solutions enVisionmath 2.0: Grade 8, Volume 1 1st Edition ISBN: 9780328881901 (2 more) Scott Foresman 934 solutions enVisionmath 2.0: Grade 8, Volume 2 Answer:x = 51, so Jeanne needs $51 to buy the game. Why use math if we can describe things in words? A link to the app was sent to your phone. Latest answer posted October 09, 2017 at 12:54:39 AM. You have numbers 1,2,3,4,5,6,7,8,9. Here is a table that summarizes common words for each operation: For example, the word product tells us to use multiplication. Now we're really close! 2(n + 3) is probably what you are looking for. Solution:Let x represent the amount of money Jeanne needs. Thus "twice a number x" can be written symbolically as 2x. Have you noticed that the division sign is a fraction line with two dots representing the numerator and denominator? 0000010040 00000 n
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Select your answer by clicking on its button. How do you evaluate variable expressions? 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, Math Test Study guide Cant understand Have gone to multiple websites need help thanks, Twice the quantity of nine less than a number x, twice the quantity of (nine less than a number x). The symbols17 + x = 68form analgebraic equation. How could algebraic expression be used in everyday life? Answer Exercise 11.5. if the number is denoted #n#, then ##'a number and 3'# Direct link to LayLay12's post when it said six minus b , Posted 6 years ago. "Twice the quantity" means 2 times what in in the parentheses. You can specify conditions of storing and accessing cookies in your browser, Twice a number k plus the quantity s minus 2, what is the mode of the numbers 2 6 4 5 3 0 3 4 3 2 4 5 2 4, the point at which two lines cross each other is called. No packages or subscriptions, pay only for the time you need. Direct link to BoQuizard:'s post Is't 'of' a multiplicatio, Posted 4 years ago. I like to think of fractions as segments of a pie or cake. Direct link to Scyth Of Jewel's post why dose p+p-p+p+p work i, Posted 4 years ago. Lets say you & I split (divide) a cake, we take the 1 whole cake & slice it down the middle. Explanation: all the way to 100. But before we delve into solving word problems that involve algebraic sentences . Six plus one, the answer is seven. xb``g``c``` The quantity of 3 plus 5 multiplied by a number (3 + 5)n. , Posted 5 years ago. 0000002067 00000 n
Akgdvnchbffb Akgdvnchbffb 15.08.2017 Math Primary School answered Twice a number k plus the quantity s minus 2 1 See answer Advertisement 1st quantity = twice of k = 2k 2nd quantity = only s = s 3rd quantity = only 2 = 2 The given algebraic operations are such as (quantity) + (quantity) - (quantity) Therefore the required expression is = 2k + s - 2 Try these yourself: 1. Example 2: The difference of triple a number and 5 5 Answer: Let variable y y be the unknown number. Latest answer posted February 25, 2016 at 6:48:45 PM. How old is my sister? 0000019112 00000 n
Twice a number k plus the quantity s minus Get the answers you need, now! So now the expression looks like: x-9. Therefore, the sum of the quotient and product is {\Large{{m \over 2}}} + 4n. Accessed 4 Mar. 0000097941 00000 n
You can even use algebraic expressions to provide situations, like when giving the rules to a game. 17 When fourteen is added to two times a number the result is six. It is critical that you understand these words or phrases in order to successfully write or interpret any given algebraic expression. Exercise A second number is 4 less than 3 times a first number. By signing up, you agree to receive useful information and to our privacy policy. ! Answer:2k+s-2im assuming. Problem:Jeanne has $17 in her piggy bank. So Ive got a math question but cant understand the second part. 0000017781 00000 n
seven divided by twice a number. The product of the 1st and the 8th terms is 120. Well, if b doesn't have value, b can go before or after six. So I would write 2(n + 3). . Express each of the following in the lowest form1) 12:72. It makes comparing prices at a glance easier. Answer: 2k+s-2 Step-by-step explanation: twice means 2 and k is just a number but as a letter. Solution Verified Create an account to view solutions to have twice this whole quantity (instead of, for instance, only n being doubled: put 'n +3' in brackets -> (n + 3) then to double it, put a 2 before the whole expression (n+3) -> 2(n + 3) the final expression: 2(n +3) Answer link MrsRudolph221 Dec 7, 2016 2 (n + 3) is probably what you are looking for. 0000018169 00000 n
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Our summaries and analyses are written by experts, and your questions are answered by real teachers. Confusing, I know. When you see "quantity" used in math, it can mean the amount or it could mean ( ), which it does here. Direct link to Davis's post You can say 'divided by' , Posted a year ago. f=? Twice the quantity translates to: 2( ). startxref
Feedback to your answer is provided in the RESULTS BOX. 0000085678 00000 n
Explanation: Let us find the quantitative values of the numbers first. Can their be more than 1 variable like 3xp. 0000001602 00000 n
Answer Example 8 The length of a rectangle is L. 3x + 12. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. 0000098411 00000 n
So "the quantity of nine less than a number x" is: (x-9). the quotient of k and 7 \Large{{k \over 7}}, Example 1: The sum of twice a number and 3. Direct link to bruh's post Well, if b doesn't have v, Learn to write expressions for phrases like "3 more than x.". Lets go over some common words or phrases that describe the four arithmetic operations. The difference (use minus symbol) of triple a number and 5 5 should be written as 3y - 5 3y 5. 0000005581 00000 n
If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3. Answer: Let variable x be the unknown number. Latest answer posted September 07, 2010 at 12:47:25 PM. 0000016663 00000 n
Log in here. Subtracted, minus, difference, less than, decreased by. Answer:Let variable y be the unknown number. To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. to have twice this whole quantity (instead of, for instance, only n being doubled: then to double it, put a 2 before the whole expression (n+3) Calculate values for the 1st term., Given a parallelogram ABCD, the measures of angle B = 3x + 36 and angle D = 6x - 6 : find m angle A, mathlit how much will 350 learners pay for amount cost of 100, Find the area of the figure. 0000006774 00000 n
Tysm smart gal/boii Advertisement Advertisement . 0000018396 00000 n
For example 1/2 of a number means 1/2 times a number. twice a number m plus the quantity n minus 4 An algebraic expression for the situation is (Use the operation symbols in the math palette as needed.) 5 less than the product of 3 and a number : 3w - 5 : twice the difference between a number and 9 : 2(z - 9) . Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression, an expression with a variable. Example 4: The difference of the productof 7 and w, and the quotient of 2 and v. Answer: In this case, the unknown numbers have been assigned with corresponding variables which are w and v. The key is to recognize that we are going to subtract the product by the quotient of some expressions. Three times a number minus 8. Yes, "of" is a multiplication word when used with percents and fractions. 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. The inequality solver will then show you the steps to help you learn how to solve it on your own. 0000002721 00000 n
Direct link to E's post That's a great question! plus the quantity s is just s as a number, then minus 2 is =2k+s-2 i got it wrong thanks to you Advertisement Previous Advertisement Add 1 plus 2 plus 3 plus 4. . What do the letters R, Q, N, and Z mean in math? answered 10/02/15, Mathematics Teacher - NCLB Highly Qualified, Laura I.
, ny members are there in the varsity club2.suppose that 5 basketball players are also volleyball players.No soccer player is also a volleyball or a basketball player.howw many members are there in the club. plus the quantity s is just s as a number, then minus 2 is, This site is using cookies under cookie policy . Math Algebra Pre Algebra Question Write an algebraic expression for: 8 more than s stripes. "two more than five". Most questions answered within 4 hours. How doI determine if this equation is a linear function or a nonlinear function? It's saying that two plus three is the same thing as five. Latest answer posted October 07, 2013 at 8:13:27 PM. Less Than Or Equal To Type <= for "less than or equal to". The symbols 17 + x = 68 form an algebraic equation. Twelve is sixteen less than four times a number. c>3003|b7!C3CTGCJ]^LgX. Find the number. First, let's focus in on what is meant by "number x" This is an algebra problem, so it might help to try to build your expression (mathematical sentence without an equal sign) starting with x. "Twice A Number" eNotes Editorial, 24 July 2014, https://www.enotes.com/homework-help/twice-number-x-470096. 297 51
If his friend Jenny always eats twice as many oranges in a week as Sam, then we can say that she eats "2x" oranges in a week. Suzanne made a withdrawal of d dollars from her savings account. So triple a number means 3y. The following are easy examples that can help you get familiar with the operations of addition, subtraction, multiplication,and division. Posted 5 years ago. Direct link to SherlockHolmes.42's post Saying that n is the numb, Posted 4 years ago. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. How do you simplify the expression #3x-x+4#? Already a member? For example, the phrase. Now we're really close! See all questions in Variable Expressions. Direct link to Archer8888's post I like to think of fracti, Posted 6 years ago. How do you write a quotient of a number and 6 as an expression? 0000071710 00000 n
Then the following equation can represent this problem: 17 + x = 68 We can subtract 17 from both sides of the equation to find the value of x. Choose an expert and meet online. 0000017996 00000 n
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1/2 of 64 (D) 1/2 of 54. This site is using cookies under cookie policy . Similarly, when we describe an expression in words that includes a . The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. 0000003944 00000 n
How long will your trip take (in hours) if you travel 350 km at an average speed of 80 km\hr? Why do we replace numbers with letters/symbols? 2023 eNotes.com, Inc. All Rights Reserved, https://en.wikipedia.org/wiki/Mathematical_notation. Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. You cannot change their sequence. Six times n plus three. The quotient of fifty and five more than a number is ten. . If of a number is 4 more than of the same number, what is the number? The key to learning is to study a LOT of examples. So triple a number means 3y 3y. 16 Ten times a quantity increased by two is nine. (A)1/2 of 32. <<277E800E0BCB7D49B5073CE66CA6BD91>]>>
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Write an algebraic expression for: twice a number k plus the quantity s minus 2. For instance: computer programming/computer science. It also saves on ink and time! None less than a number translates to x - 9. For example: why is fraction considered as a division? Let's look at an example in which the expression consists of more than one number and/or operation. Twice the quantity usually means, "get ready for parentheses". 0000017241 00000 n
Among mathematicians the term "quantity" indicates that what follows is to be treated as a single expression. That's not quite right. Direct link to Olivia S.'s post Can their be more than 1 , Posted 3 months ago. There should be a timer to see if you know it and you can do it fast enough. h pg g K V X+60 8 X-10 A fascypros 62, suppose that 25 basketball players,30 volleyball players, and 28 soccer players compose a varsity club 1.if no member plays at least two sports,how ma How do you simplify the expression #3x-x+4#? But why? Does that mean if the coin is tossed twice, we will get one heads. How do you write 5 less than 2 times a number as a variable expression. How? 0000018939 00000 n
answered 10/01/15, Kimberly M. Twice a number 2x Ten percent of x 0.10x . Add 1 plus 2 plus . For Free. If you make a mistake, choose a different button. Exercise 11.5. Let's look at some examples of writing algebraic equations. 0000018531 00000 n
-5 plus the quantity of 4 times x Now take the product of -8 and that expression and then add 6. 3n - 8. Example 3:The sum of the quotient of m and 2, and the product of 4 and n. Answer:In this case, the unknown numbers are already provided as m and n. Thats one less thing to worry about. The key words for multiplication are: times, product, twice, doubled, multiplied, and of. 0000044093 00000 n
Well for one, I think that particular assignment only deals with variables. Here is an example: Greater Than Or Equal To Type >= for "greater than or equal to". Addition ( + ) plus A number plus three x + 3 more than Ten more than a number x + 10 the sum of The sum of a number and five x + 5 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 0000085393 00000 n
This is the idea of the type of math that is named algebra. In the problem above, x is a variable. 0000001341 00000 n
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Direct link to allyson's post of course., Posted 4 years ago. This site is using cookies under cookie policy . (B) 1/2 of 28. How do you write a product of a number and 2 as an expression? 19 Three fifths of a number plus eight is fifty. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. 0000001782 00000 n
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When I was 4 years old, my sister was half my age. Eleni is x years old. 0000084951 00000 n
It evolved from the fraction idea to make it a simpler concept in arithmetic. 0000008973 00000 n
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Explanation: "Six less than.." means "Subtract 6 from". Replacing the variables with single letters (sometimes English alphabet, sometimes Greek alphabet - because the Greeks had a big role in inventing algebra, so we still use their alphabet today) is a shorthand. Also, Algebra is a useful, logical way to help explain things. In the problem above, x is avariable. why does the square over the square mean divided? 18 Four times a number minus twenty-nine is eleven. 0000098455 00000 n
Direct link to Kim Seidel's post Yes, "of" is a multiplica, Posted 2 years ago. 0000003408 00000 n
five more than twice a number. Six more than a number. twice means 2 and k is just a number but as a letter. If you're seeing this message, it means we're having trouble loading external resources on our website. Then the following equation can represent this problem: We can subtract 17 from both sides of the equation to find the value of x. The probability that a coin turns up heads when it is tossed is 1/2. Divide 5400 among Arya, Ashwin and Amir in the ratio 1:2:6. how do i answer that? 0000085203 00000 n
Answer Exercise 11.5. So, the phrase. can be written as the expression. Just the other day my mom used math to help teach a group of girls how to make a beaded ring. How do you evaluate variable expressions? Mark M. 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. Almost always, the word "is" in an algebraic sentence denotes the symbol of equality. Direct link to Da'shyne Green's post There should be a timer t, Posted 10 months ago. There are lots of different ways algebraic expressions are used in everyday life. 0000000016 00000 n
Latest answer posted October 03, 2011 at 2:12:01 PM. around the world. My questions is, what are other ways to say 'divided by' and can you give me examples? Math, like any other language, has a way of communicating ideas. For example, the phrase. What is the formula with givens: Time, Distance, Speed or Velocity? Example 2:Write each sentence as an algebraic equation. Direct link to Michelle Hoeks's post So Ive got a math questi, Posted 4 years ago. Step-by-step explanation: thxm can you explain it? Let us find the quantitative values of the numbers first. Summary:An algebraic equation is an equation that includes one or more variables. The key is to recognize that we are going to add a quotient and a product. trailer
The product of twice a number k - 12966561. answered The product of twice a number k 1 See answer Advertisement Advertisement alfonsogonzalesramir alfonsogonzalesramir Answer: 2k x k = 2.