Exact Form:
x
=
7
8
x
=
7
8
Decimal Form:
x
=
0.875
x
=
0.875
We can solve this by writing down all of the variables we know. We will call the distance traveled on Saturday, x. The distance traveled on Sunday will be y.
x = distance traveled saturday
y = distance traveled sunday
We are told that on sunday he rode 3 miles more than 2/3 the distance on saturday. We can write a new formula.
y = (2/3)x + 3
We also not the total distance travelled, x + y = 43, now we solve for x.
x + y = 43
x + (2/3)x + 3 = 43
5/3x = 40
x = 24 miles
y = (2/3)(24)+3
y = 19 miles
Therefore, Mario biked 24 miles on Saturday and 19 miles on Sunday which gives us the total of 43 miles for the whole weekend.
Area = 1/4√(5(5+2√5))a^2. a is the length of a side. If you plug in 10 as a, you get approximately 172, which is about the same as the 1st option .
