Answer: 16 litres
Step-by-step explanation:
A: 1l x km
B: 1l x+5 km
Running 400 km A used 400/x litres
Running 400 km B used 400/(x+5) litres
400/x- 400/(x+5)= 4
400*(x+5)- x*400-4*x*(x+5)=0
400*x+2000-400*x-4*x²-20*x=0
2000-4*x²-20*x=0 difide by 4 both sides of equation
500-x²-5*x=0
Lets solve the equation using discriminant:
D=5²-(-1)*4*500=2025
sqrt(D)=45
x1= (5+45)/(-2)= -25 x2=(5-45)/(-2)=20
x1=-25 x2=20
x1<0 so is not the solution of the problem ( number of litres can't be negative)
So A uses litr per x=20 km and B uses 1 litr per 20+5=25 km
Running 400 km B uses 400/25=16 litres
Answer:
Part a) The approximate years were 1998 and 2008
Part b) The graph in the attached figure
Step-by-step explanation:
Part a) we have
For 
Solve the quadratic equation
we know that
The formula to solve a quadratic equation of the form 
is equal to
in this problem we have
so
substitute in the formula
therefore
The approximate years are
1997+11=2008
1997+1=1998
Part b)
Using a graphing tool
we have
The solution of the system of equations is the intersection point both graphs
The intersection point are (0.99,80) and (11.23,80)
see the attached figure
therefore
The solution part a) is correct
Answer:
There are 240,000 acres of the state parkland in Mississippi.
Step-by-step explanation:
Let a= Mississippi's parkland acres
You can use either Distributive Property, or The Order of Operations.
Distributive Property:
(76,000+4,000) 3= a
228,000+12,000= a
240,000= a
Order of Operations:
(76,000+4,000) 3= a
(80,000) 3= a
240,000= a
:)
Answer:
200.96
Step-by-step explanation:
64x3.14=200.96
Answer:
-1 5/6, 1 2/3, -2.1, -2.2
Step-by-step explanation:
Rember the numbers are neggative, then convert -1 2/3 to -1 4/6.
