This circle is given in standard form
, where
is the ordered pair for the center of the circle.
Notice that in the equation, we have
and
. When writing the ordered pair alone, we have to remember to flip the sign.
Therefore, we have
.
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.
Answer:
5/12
Step-by-step explanation5
6
−
5
12
=
5
6
−
5
12
=
5
6
+
−5
12
=
10
12
+
−5
12
=
10+−5
12
=
5
12
Are their answer choices? There are infinitely many multiples of 5.
5, 10, 15, 20, 25, 30, 45, 50, 55, etc
