A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Working at a constant rate, Bob can produce x/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2x widgets in 40 minutes, where x>0. Which of the following is greater?
A. The number of minutes it will take Bob to produce 5x widgets.
B. The number of minutes it will take Jack to produce 6x widgets.
anonymous
 one year ago
Working at a constant rate, Bob can produce x/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2x widgets in 40 minutes, where x>0. Which of the following is greater? A. The number of minutes it will take Bob to produce 5x widgets. B. The number of minutes it will take Jack to produce 6x widgets.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont want the answer i want to know how to do it go away

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0https://www.youtube.com/channel/UCf4sHDdHoHmsFZp3q8HCh4g Subscribe ;D

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.0@yomamabf so firstly, you want to start off by writing the equations so that you can see how many widgets each person makes in a minute

phi
 one year ago
Best ResponseYou've already chosen the best response.1I would first write down a "rate" Bob. How many widgets per minute can he make? Write the ratio of widgets divided by time, and simplify. can you do that ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442930388826:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442930466712:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. we have this question The number of minutes it will take Bob to produce 5x widgets. now we use rate * time = amount we have the rate = x/24 we have the amount 5x solve for time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't understand why i have to multiply 5 by 24 tho. The 5x is throwing me off

phi
 one year ago
Best ResponseYou've already chosen the best response.1First, we are only doing Bob's problem. Bob makes x/24 widgets per minute (that is his rate) we want 5x widgets we use rate*time = amount and fill in the rate and the amount to get this equation \[ \frac{x}{24}\cdot t = 5x\] (I used "t" for time) ok so far ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1now "solve for t" using normal algebra can you do that ? (I would multiply both sides by 24/x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442930783211:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, and that means t= 120 minutes

phi
 one year ago
Best ResponseYou've already chosen the best response.1It takes Bob 120 minutes to make 5x widgets (notice we don't know what 5x means as a number, but we don't care)

phi
 one year ago
Best ResponseYou've already chosen the best response.1now we do the same thing for Jack. what is Jack's rate ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442931014158:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1Jack's rate is 2x/40 (the ratio of number of widgets divided by time) you can simplify that to x/20 now do rate * time = amount where rate= x/20 and amount is 6x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hey another question can i just substitute the x for a 1 since x>0?

phi
 one year ago
Best ResponseYou've already chosen the best response.1it would be dangerous to put in a number for x notice when you solve this problem the x "goes away" and we get a simple number for the answer. But if the x did not divide out, it would be part of the answer. In this problem we could let x= 1 and we would get the correct answer. But we only know that because we solved the problem first using "x" and noticed it cancelled out.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442931376647:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhhh i see so it's not a good idea. okay gotcha!
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.