gabriel-wrote-frac12-x5-x10-div-frac45frac12-x-div-45-x10-div-5frac3-xx2-is-gabriels-solution-correc

Name: gabriel wrote frac12 x5 x10 div frac45frac12 x div 45 x10 div 5frac3 xx2 is gabriels solution correc
Uploaded: 2019-07-31
Duration: 48 s
Channel: Numerade
Description: Gabriel wrote $\frac{12 x}{5 x+10} \div \frac{4}{5}=\frac{12 x \div 4}{(5 x+10) \div 5}=\frac{3 x}{x+2} .$ Is Gabriel's solution correct? Justify your answer.

Question

Gabriel wrote $\frac{12 x}{5 x+10} \div \frac{4}{5}=\frac{12 x \div 4}{(5 x+10) \div 5}=\frac{3 x}{x+2} .$ Is Gabriel's solution correct? Justify your answer.

Alisa Lu · Accepted Answer

So this question asked. If Gabriel is correct and writing that the Fraction 12 x over five x plus 10 uh, divided by 4/5 is equal to 12 x vital life for over five Next plus 10 divided by five um, in the interest. He&#x27;s not correct, because when you divide by a fraction, that&#x27;s the same as multiplying by a reciprocal. So this is actually equal to 12 x times five over a five x plus 10 times for that.

Ramzi Deek · Answer

So let&#x27;s start solving this by cross multiplying. So we&#x27;re going to get four times five into X. Plus two is equal to 12 X, so that&#x27;ll be 20 here than we distribute 20. We&#x27;re gonna get 20 X plus 40 is equal to 12 x Subtract 20 X on both sides. So we&#x27;re going to get, uh, minus eight. X is 40. So X&#x27;s negative five. Let&#x27;s check for our solution Here. So is four over negative five equal to 12 over five. And to just put that is negative. Three. So four over negative five. Is that equal to 12 over Minus 15? Yes. If you simplify 12 over minus 15. That is minus 4/5. So we checked for our solution here, and we have the correct answer.

Ali Soave · Answer

we&#x27;ll start off by subtracting two X minus. Took over five from both sides so that these cancel out all over exes and out on the right side because the denominators of the same will just attract the numerator is 12 x minus two X makes 10 x over five, and that fraction simplifies to simply two x two X plus eight on the right side and negative five on the left side. Now we can subtract eight from all sides. Ju X is equal to negative 13 and then our last step is to divide by two thes cancel out and negative 13 does not divide evenly by two, so we can just leave it as a fraction negative 13 over.

Ramzi Deek · Answer

so to solve for X for the following 12 x plus tennis to expose five. Let&#x27;s put variables on one side and Constance on the other, so I&#x27;m going to subtract two ex first. So on to put my variables on the left. So now I&#x27;m gonna end up with 10. X Plus 10 is equal to five. Now I need to subtract 10 on both sides, so that&#x27;ll give me 10. X is equal to negative five. 10 X is negative five here. So let&#x27;s divide both sides by 10. Divide by 10 10 and 10. That becomes X minus 5/10. That&#x27;s the same as minus half, so your exes minus half

Joseph Lentino · Answer

So in this problem, I have negative 1/4 is equal to 5 12 plus 5/6 X. Now I like to move that right side around a little bit just to make it easier once we actually get started. Notice that I&#x27;m not changing any signs. I&#x27;m just changing the order. So this way will be easier to see the or operations in action. I&#x27;m also gonna make this a little bit easier by multiplying every term in this equation by the common denominator for six and 12 have a common denominator of 12. If I&#x27;m all right every single term by the common denominator, all of the other denominators will go away. 12 divided by four is 33 times negative. One is negative. Three 12 divided by six is 22 times five is 10 x 12 divided by 12 is one times five is five. This new equation with same answer is the original, but should be easier to work with. First, I&#x27;m going to subtract five from both sides of the equation. Leaving me with 10 x is equal to negative eight, which means X is equal to negative eight divided by 10. Well, if I clean that up a little bit, X should equal negative for Fitz in order. Check this. I&#x27;m gonna go back to my original equation. Negative 1/4 is equal to 5 12 plus 5/6 times negative for over five. If the left hand side equals the right hand side, then I know that this answer is the correct answer. So I have to do multiplication before I do addition and subtraction. In this particular case, the fives will cancel, the four will become a two and the six will become a three when I divide them by two. And when I multiply across and end up with negative 2/3 In order to finish this problem, I need a common denominator which will be 12. Three goes into 12 4 times. So if I&#x27;m all by the numerator by four, I get eight. This will result in negative 1/4 will equal negative three 12 which when you simplify negative 3 12 you will end up with negative 1/4. So yes, negative. 4/5 is the correct

Alexia Hamilton · Answer

All right. So we are asked to solve the following equation. And that is five x last three X minus four X equal to 10 plus two. And then we&#x27;re also asked to check our answer to make sure we did everything right. So win solving equations and you&#x27;ve got, like, terms on the same side. You need Teoh. Well, the first step is to simplify the individual sides the left side on the right side of the equal sign. So for this problem, when simplifying the left hand side, we are combining like terms because I have the five x three x in the forex. So they all have the same form of the variable X. They&#x27;re all just X. Is there not, like X squared or anything? They&#x27;re all the same type of an ex, so they&#x27;re all like terms so I can combine them. So I&#x27;m just going to do the order of operations. I&#x27;m going to start on the left and work my way to the right, So five x plus three x is eight X and then I&#x27;m also going to combine my leg terms on the right hand side. So 10 in two are also like turns because neither of them have the variable X so they can be combined. So 10 plus two is a 12. All right, so the right hand side is simplified. The left hand side still needs a little bit of work, cause I haven&#x27;t eight x minus of four x will eight x minus four x their like terms they can be combined and that gives us a four X equal to 12. And then I get to solve for my variable X. When you&#x27;re solving for the variable you want toe, isolate it. So I want to get X by itself. Right now it&#x27;s being multiplied by four. So if I need so I need to move the four away. And the way that we move the four away from the variable is by doing the opposite of the operation. So the opposite operations of multiplication is division. So I need a divide by four on the left hand side, and I have to also divide by four on the right hand side. Because algebra is a balancing act and what you do, the one side you have to do to the other side of unequal sign So I&#x27;m dividing by four in both sides. That leaves me with just a X because four divided by four is one. And mathematicians don&#x27;t write invisible ones in front of variables equal to 12 divided by four is three. All right, so now I think my answer is or my solution for the equation is X equal to three. Now, I have to check my answer. So I&#x27;m gonna go back to my original equation a five x plus three that&#x27;s minus four X equal to 10 plus two. And wherever I see in X, I&#x27;m going to replace it with the number that I think is my solution. So all three of those exes there&#x27;s gonna be replaced by three. So that&#x27;s a five times three plus a three times three minus a four times three equal to 10 plus trip. And then I kind of go through again and simplify both sides of the equal scientists, but only, but I&#x27;m Onley simplifying. I&#x27;m not moving sides around. So, using the order of operations, I need to do multiplication or division first from left to right. So I&#x27;m gonna just kind of do all of my multiplication, so I have a multiplication here of five times three. That&#x27;s 15. Three times three is nine. That plus in just gets brought down. Gonna go ahead and bring down that minus sign and then four times three is 12. Or you can think of it as a negative Ford Times a positive three, which gives you a negative 12 equal to There&#x27;s no multiplication on the right hand side. So I&#x27;m just going to rewrite the 10 plus two, all right? And now we have addition and subtraction left in our problem and the kid that can be done simultaneously left to right. But I&#x27;m just gonna go ahead and do one at a time. So 15 plus nine is 24 minus 12 and then because I&#x27;m moving over to the other side, I&#x27;m gonna go ahead and do that edition as well. 10 plus two is 12 and then lastly, 24 minus 12 is 12 equal to 12. So the way we know that our solution or the number that we think is the solution to the number that we put in place of all of the exes is in fact, the correct solution is when you get a true statement. Like what we have here. When a number 12 is equal to itself, you get a true statement, which means that that value

Problem

In $3-12,$ multiply and express each product in s…

Problem 2 Easy Difficulty

Gabriel wrote $\frac{12 x}{5 x+10} \div \frac{4}{5}=\frac{12 x \div 4}{(5 x+10) \div 5}=\frac{3 x}{x+2} .$ Is Gabriel's solution correct? Justify your answer.

Answer

Gabriel is correct.

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Heather Z.

Alayna H.

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Caleb E.

Absolute Value - Example 1

Absolute Value - Example 2

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Gabriel is correct.

Algebra 2 and Trigonometry

Heather Z.

Alayna H.

Kayleah T.

Caleb E.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Heather Z.

Alayna H.

Kayleah T.

Caleb E.

Ann Xavier Gantert

Algebra 2 and Trigonometry