Answer:
John's commute = x + 0.5
Sheila's commute = 2x
Step-by-step explanation:
Given:
Total hour commute = 2
Mark's commute = x
John's commute = x + 0.5
Sheila's commute = 2x
Find:
Each commute
Computation:
Total hour commute = Mark's commute + John's commute + Sheila's commute
2 = x + x + 0.5 + 2x
4x = 1.5
x = 0.375 hour
John's commute = x + 0.5
John's commute = 0.375 + 0.5 = 0.875 hour
Sheila's commute = 2x
Sheila's commute = 2(0.375) = 0.75 hour
Answer:
x = 4, 7
Step-by-step explanation:
We start off with the equation
. from there, we can add 28 to both sides to get
. From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!
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.
Learn more at:
brainly.com/question/28016937
brainly.com/question/28016937
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Your inequality would look like 7>w>2