Answer:
x=4.5 inches
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The perimeter of a hexagon is the sum of its six length sides
Let
x ----> the length of a shorter side
y ---> the length of a longer side
The perimeter of the hexagon is equal to
so
---->equation A
Each longer side measure 1 in. less than 4 times the length of a shorter side
so
----> equation B
substitute equation B in equation A
Solve for x
A(h)=4h+70, A(h)=dollars to rent for h hours, h=hours rented.
B(h)=5h+60, same variable explanations...
....
To compare the two values at 6 hours you have:
A(6)=4(6)+70=24+70=$94
B(6)=5(6)+60=30+60=$90
So at 6 hours Company B would charge $4 less than Company A
...
Savings at 7 hours of rental by using B instead of A is:
S(h)=A(h)-B(h)
S(h)=4h+70-5h-60
S(h)=-h+10
S(7)=-7+10=$3
So at 7 hours, Company B saves you $3.
Answer:
75 %
Step-by-step explanation:
1500 - 375 =1125
So 1125 is spent on the gaming system
Take this over the total amount to get the decimal form
1125/1500 =.75
Change to percent form
75 %
Answer:
y = -x - 1
Step-by-step explanation:
y = mx + b
<u>slope (m):</u> Since the line is going downhill, the slope will be negative
slope = rise / run
slope = 1 / 1
slope = 1
m = -1
<u>y - intercept (b):</u> this when x = 0, the line is crossing the vertical line (y-axis)
b = -1
so y = mx + b is
b = -1, m = -1
y = (-1)x + (-1)
<u>Answer:</u>
Consistent and dependent
<u>Step-by-step explanation:</u>
We are given the following equation:
1. 
2. 
3. 
For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with which is the same as the equation number 2.
There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.
