Answer:
Step-by-step explanation:
A monomial is a type of polynomial that has only one term and when there are two terms in the polynomial then it is called binomial.
Say for example (ax) is a monomial and (ax + b) is a binomial.
In our case the cube of a monomial is 
Therefore, the monomial will be ![\sqrt[3]{\frac{a^{27} }{8}} =\frac{a^{9} }{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7Ba%5E%7B27%7D%20%7D%7B8%7D%7D%20%3D%5Cfrac%7Ba%5E%7B9%7D%20%7D%7B2%7D)
(Answer)
Answer:
This company loses about 12 employees a year
Step-by-step explanation:
The area of the trapezoid is letter d
We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
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(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
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(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
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(1) z = 113 - 1100*y
(2) y = 1/10
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if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
Answer:
9
Step-by-step explanation:
We have to solve in order to find out if Sam is correct
Remember PEDMAS:
For Multiplication, division and addition, subtraction, do what appears first left to right
Parenthesis
Exponent
Division
Multiplication
Addition
Subtraction
16 - 18 + (2+1)+2^3
Parenthesis first: 2+1 = 3
16 - 18 + 3 + 2^3
Exponent next: 2^3 = 8
Subtraction (it's on the left) : 16-18 = -2
Addition: -2 + 3 = 1
Addition : 1 + 8 = 9
<em>Sam is not correct, the answer is </em><em>9, </em><em>not 16.</em>
Hope this helps :)
Have a great day!
