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.
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Ones and tens thats the anwers
Answer:
<h2>10 + 5x ≤ -15</h2>
Step-by-step explanation:
<u>sentence</u> <u>—————————-——————></u> <u>math expression</u>
Ten increased by —————————————> 10 +
the product of a number ‘x’ and 5 —————> 5x
less than -15 —————————-——————> ...... ≤ -15
<em>Conclusion</em>:
10 + 5x ≤ -15
Beth purchased $21.25 worth of groceries. The sales tax rate is 7.5%. What was her total bill?
The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.
Back to your question:
What is the total cost of a sweatshirt if the regular price is $45 and the sales tax 5.75%
The tax is calculated by 0.0575 * 45 = 2.5875 or $2.59. So the total bill is the cost of items purchased plus tax, which is $45 + $2.59 = $47.59
Hope this helped! Good luck!
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