Answer:Alden is 13 years old
Step-by-step explanation
Let x represent Alden's age.
Let y represent the age of his sister.
Let z represent the age of his second sister.
His sister is 5 years older than he is and 3 times as old as his second sister. This means that
y = x + 5
y = 3z
Alden's brother is 4 years younger than his second sister. It means that his brother's age is
z - 4
His brother is 2. It means that
z - 4 = 2
z = 2 + 4 = 6
y = 3z
y = 3 × 6 = 18
Substituting y = 18 into y = x + 5, it becomes
18 = x + 5
x = 18 - 5 = 13
1/4x + 5 = =4
subtract 5 to both sides
1/4x = 4 - 5
1/4x = -1
multiply 4 to both sides
x = -1 x 4
x = -4
Answer:
Step-by-step explanation:
add 9 to both sides.
then divide by 1.5
so p > 8
number your number line: 2,4,6,8,10
draw a circle at 8 and the line to the right since p>8
Answer:
Step-by-step explanation:
Start with:
Distribute the values on the outside of each of the parentheses.
Combine like terms.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Now, we need to use our quadratic equation formula:
Identify your values.
Substitute.
(Solve positive)
Solve.
Find the square root of .
Add.
Simplify.
~
(Solve negative)
Solve.
Find the square root of .
Subtract.
Simplify.