The maximum number of miles you could drive would be 300.
Multiply 0.15 by 300 and that adds up to $45. 45 + 55 = $100
An equation to explain this would be
y = 55 + 0.15x
y represents your $100 budget, 55 is the initial rental fee, and if you plug 300 in for x that solves your equation.
Answer:
They will be 170 miles apart at 10 AM
Step-by-step explanation:
Nancy has 15´ of head start which is 1/4 hr.
NHD = 20*(1/4) = 5 miles is her head start
Mark leaves at 7.15hs = starting point
Marks stop at when they are 170 miles apart = t
------------------------------
t = the time they are 170 miles apart
d= distance in miles Nancy travels in time t
170 - (d+5) = distance in miles Mark travels in time t
------------------------------
Nancy's equation:
(1) d = 20t
Mark's equation:
(2) 170 - (d+5) = 40t
---------------------------
(2) 170-d-5=40t
(2) d+40t=165
Substitute (1) into (2)
(2) 20t+40t=165
(2) 60t=165
(2) t=2.75
7:15 AM + 2.75 hrs (2:45hs) = 10 AM
They are 170 miles apart at 10 AM
check:
(1) d=20t
(1) d=20*2.75
(1) d=
55
---------------
(2) 170 - (d+5) = 40t
(2) 170 - (d+5) = 40*2.75
(2) 170 - d-5 = 110
(2) d=55
Eliminate the opponent number
Change the sign of both sides of the equation
Divide both sides by the same number
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As the picture highlights, the opposite sides have the same lengths. The perimeter is the sum of all lengths, so we have
Plug the required value for the perimeter and expand the right hand side:
Simplify the right hand side:
Add 36 to both sides:
Divide both sides by 12:
Now that we know the value for s, let's deduce the lengths of the sides:
