An art teacher has 6 1/4 gallons of paint to pour into containers. If each container holds 1/2 gallon, what is the maximum numbe
2 answers:
You might be interested in
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:
see explanation
Step-by-step explanation:
Given
x² - 2x - 4 = 0 ( add 4 to both sides )
x² - 2x = 4
To solve use the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 4 + 1
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± , thus
x = 1 + or x = 1 -