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
Consider x=0.
The output of the function y=x is y=0.
The output of the function y=x+5 is y=0+5, or y=5.
The value 5 is not 5 less than 0, not 1/5 of 0, and not 5 times 0. Rather, it is 5 more than 0, corresponding to selection ...
... C. Each output of y=x+5 is 5 more than the corresponding output of y=x.
Answer:
450,000 is ten times as much as 4,500,000
Step-by-step explanation:
450,000 x 10 is 4,500,000 super easy to do for future lessons!
hope this helped
Answer:
x = 88
Explanation:
2x + 14 = 190
Subtract 14 from both sides
2x + 14 − 14 = 190 − 14
2x = 176
Divide both sides by 2
2x / 2 = 176 / 2
x = 88
8/ Sine 50 = n/ Sine 90
8 sine 90 = n Sine 50
8 sine 90 / sine 50 = n
n = 10.4
