The ages of Olivia and her brother are 10 years and 11 years respectively
Let x₁, and x₂ be the ages of Olivia and her brother respectively.
Given that Olivia's brother is twice her age minus 9 years.
⇒ x₂ = 2x₁ - 9 → equation 1
Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.
⇒ x₂ = 1/2 × (x₁ + 12) → equation 2
Using equation 1 in equation 2, we get
2x₁ - 9 = 1/2 × (x₁ + 12)
⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)
⇒ 4x₁ - x₁ = 12 + 18
⇒ 3x₁ = 30
⇒ x₁ = 10 (dividing by 3 on both sides)
Using the value of x₁, in equation 1,
⇒ x₂ = 2(10) - 9
⇒ x₂ = 20 - 9
⇒ x₂ = 11
Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.
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7+9=16
Step-by-step explanation:
let us add the numbers step by step:
Just add the numbers like this [1+3,2+4,3+5,4+6,5+7,6+8,7+9…]
you get the answer 7+9=16
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−9b2−18b=0
Step 2: Factor left side of equation.
(−9b)(b+2)=0
Step 3: Set factors equal to 0.
−9b=0 or b+2=0
b=0 or b=−2
A good function for this situation would be
c = 4(3m)
C is the cost of it all, m is the number of meters. The 3 is how many dollars it costs for each individual meter, and the 4 is how the length would need to be applied to all four sides of the fence. Hope this helped!
Answer:
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
