21.3 km !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
<em>Translating the word problem into an algebraic equation, we have;</em>
..........equation 1
........equation 2
........equation 3
<em>We would solve the linear equations by using the substitution method; </em>
<em>Substituting equation 2 into equation 1;</em>
........equation 4
<em>Substituting equation 2 and equation 4 into equation 3;</em>
<em>Simplifying the equation, we have;</em>
C = 25 years.
To find G; from equation 2
Substituting the value of "C" into equation 2, we have;
G = 31 years.
To find J; from equation 1
Substituting the value of "G" into equation 1, we have;
J = 93 years.
<em>Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old. </em>
Answer: you need 3/8 buckets of nuts to fill the barrel.
Step-by-step explanation:
I will find the equation and explain it with words at the same time, so it is easier to understand.
We know that:
1/4 buckets of nuts, fills 2/3 of the barrel.
Then we can write the equation:
(1/4) buckets of nuts = (2/3) of the barrel
We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2
(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.
3/8 buckets of nuts = 1 of the barrel.
This means that you need 3/8 buckets of nuts to fill the barrel.
Distribute through the parentheses
Cancel equal terms on both sides of the equation Divide both sides of the equation by and it would be x=1
Answer:
Step-by-step explanation:
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6).
First, find midpoints of sides AB, BC and AC:
- midpoint of AB has coordinates
- midpoint of BC has coordinates
- midpoint of AC has coordinates
Now find the eqyations of the medians.
1. Median at vertex A (line ):
2. Median at vertex B (line ):
3. Median at vertex C (line ):