Answer:
The manufacturing time is 1.5385 minutes per unit.
Step-by-step explanation:
∵ The units manufactured by machine in 1 hour = 39,
We know that,
1 hour = 60 minutes,
∴ The units manufactured by machine in 60 minutes = 39,
That is,
39 units = 60 minutes,
⇒ 1 unit = 
=1.53846153846 ≈ 1.5385 minutes,
Hence, the manufacturing time is 1.5385 minutes per unit.
PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
First, we do the exponents.
5² - 4 · 6 + 11
= 25 - 4 · 6 + 11
Next, multiplication (according to PEMDAS).
= 25 - 24 + 11
Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.
= 25 - 24 + 11
= 1 + 11
Finally, addition.
= 12
This is your answer. Happy studying~
A quotient is the result of a division.
Let the unknown number be x.
We translate the problem into an equation, piece by piece.
<span>"quotient of a number and seven" ----> x/7
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<span>"12 less than the quotient of a number and seven" ----> x/7 - 12
The word "is" means "="
x/7 - 12 =
All the above is -2, so it equals -2.
x/7 - 12 = -2
First, add 12 to both sides and simplify.
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Next, multiply both sides by 7.
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Answer: The number is 70.
