Answer:
see below
Step-by-step explanation:
The sum of an infinite series with first term "a" and common ratio "r" is ...
S = a/(1 -r) . . . . . for |r| < 1
Then the sums for the given answer choices are ...
A: 5/(1 -3/4) = 20 . . . . . the answer of choice
B: 4/(1 -5/6) = 24
C: 4/(1 -1/5) = 5
D: 10/(1 -1/5) = 12.5
Hey!
The first step to solving the rest of this problem would be to distribute the parenthesis in -( 5x - 10 ).
<em>Original Equation :</em>
-( 5x - 10 )
<em>New Equation {Changed by Distributing the Parenthesis} :</em>
- ( 5x ) - ( -10 )
Now we'll simplify the equation.
<em>Old Equation :</em>
- ( 5x ) - ( -10 )
<em>New Equation {Simplified} :</em>
-5x + 10
Okay, now that that part of the equation has been changed, we can add the simplified part to our entire equation.
<em>New Equation :</em>
5x - 9 - 5x + 10
Next we need to group like terms.
<em>Old Equation :</em>
5x - 9 - 5x + 10
<em>New Equation {Changed by Grouping Like Terms} :</em>
5x - 5x - 9 + 10
And now we add the similar elements.
<em>Old Equation :</em>
5x - 5x - 9 + 10
<em>New Equation {Changed by Grouping Like Terms} :</em>
-9 + 10
And finally we simply add the numbers.
<em>Old Equation :</em>
-9 + 10
<em>Solution {Old Equation Solved} :</em>
1
<em>So, this means that 5x - 9 - ( 5x - 10 ) is</em> 1.
Hope this helps!
- Lindsey Frazier ♥
That would be the commutative property
12/35 is simplified, as you cannot divide it into smaller numbers by a common factor.
I hope this helps!
First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50
then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75
The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.
