A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
What is the value of x in the proportion.
x/2=16x3/20
1. 2
2. 3/2
3. 1/4
4. 1/2
anonymous
 one year ago
What is the value of x in the proportion. x/2=16x3/20 1. 2 2. 3/2 3. 1/4 4. 1/2

This Question is Closed

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{x}{2} = \frac{16x3}{20}\] is that how the problem reads?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1Do you know about crossmultiplication?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1Good. Crossmultiply and solve the resulting equation for \(x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0actually i am confused on how to cross multiply on this can you explain?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1Okay, \[\frac{x}{2} = \frac{16x3}{20}\] multiply the numerator of one by the denominator of the other \[x*20 = 2*(16x3)\]\[20x = 32x  6\]

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1What you are effectively doing is making a common denominator of 1

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1Can you solve \[20x = 32x  6\] for \(x\)?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1let's try it in the original equation and make sure it works: \[\frac{\frac{1}{2}}{2} = \frac{16(\frac{1}{2})3}{20}\]\[\frac{1}{4} = \frac{83}{20}\]\[\frac{1}{4} = \frac{5}{20} = \frac{1}{4}\checkmark\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay i get it now thanks!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with one more?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1We could also solve like this: \[\frac{x}{2} = \frac{16x3}{20}\]Multiply both sides by 20\[20*\frac{x}{2} = 20*\frac{16x3}{20}\]\[10x = 16x3\]\[10x10x+3 = 16x10x+33\]\[3=6x\]\[x=\frac{1}{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait so 1/2 is the answer or 1/4?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1the answer is x = 1/2. what I did was plug the value we got for x back into the original equation to make sure that it made a true statement. Let's say that I made a mistake somewhere and decided that \(x=2\) is the right answer. Well, when I plug that back into the original, I get: \[\frac{2}{2} = \frac{16(2)3}{20}\]\[1 = \frac{29}{20}\]and that is not true, so that means that \(x=2\) is NOT the correct answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh okay thank you so much. I am gonna open another question can you help me?

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1sure, just "tag" me by putting "@whpalmer4" in a response and I'll get a notification
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.