The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
Answer:
B) {x| x<-12 or x>-6}
Step-by-step explanation:
-2/3x>8
change -2/3 as -3/2 and multiply both sides by -3/2x
-2/3x•(-2/3)x<-3/2•8
calculate
reduce
x<-3•4
multiply numbers
-----------
x<-12
-----------
now we're done with the first equation, let's do the other equation to find the answer!
-2/3x<4
multiply both sides by -3/2 and again change -2/3 by -3/2
-3/2•(-2/3)x>-3/2•4
calculate
reduce
x>-3•2
multiply numbers
----------
x>-6
----------
Answer:
3375lbs
Step-by-step explanation:
