The answer & explanation for this question is given in the attachment below.
Ken earns 54 dollars at his part-time job on Friday
Given that Total amount earned by ken and his wife at their part-time job on Friday= $174
Money earned by ken= x dollars
Money earned by ken's wife = (2x+12) dollars
Total amount earned by ken and his wife at their part-time job on Friday= x dollars + (2x+12) dollars
(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)
(3x + 12 ) dollars = $ 174
3x=$162
x=
x= 54 dollars
Therefore,54 dollars were earned by ken at his part-time job on Friday
Hence,Ken earns 54 dollars at his part-time job on Friday
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Answer:
Which item fits in the left side of the table?Criminal versus Civil Cases Criminal cases Civil cases ? . • Accuser is called the plaintiff • Lower burden of proof Defendant may be found liable • Usually heard by a judge only • Accused not guaranteed an attorney
A. No burden of proof
B. Accuser is called the defendant
C. Defendant may be found guilty
D. Usually heard by a jury only
<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
Answer:

or

Step-by-step explanation:
The expression
can be simplified by first writing the fraction under one single radical instead of two.

5/15 simplifies because both share the same factor 5.
It becomes 
This can simplify further by breaking apart the radical.

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.
