Answer:
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Step-by-step explanation:
Given

Required
P(Even)
The even sides are: 2, 4, 6
So:

This is then calculated as:

Replace n(2), n(4), n(6) with their frequencies

The total frequency is:


So:


Take LCM


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<em> --- approximated</em>
Answer:
11/12
Decimal form: 0.916 (the 6 is continuous)
Step-by-step explanation:
<h2>
Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒ 
- Annie's age is 13 less than 3 times Carl's age
⇒ 
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

<h2>Answer</h2>
Therefore, Grandma Annie is 92 years old.
Answer:
the second one that is 3y+1