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zlopas [31]
3 years ago
5

50 points Hannah is 2 times her sister’s age. The sum of their ages is no more than 18 years.

Mathematics
2 answers:
RideAnS [48]3 years ago
7 0

Answer:

12 years old

Step-by-step explanation:

1) 2x+x=18

2) Now solve 2x+x=18

Add alike terms

3x=18

Now divide both sides by 3 (3x/3 and 18/3)

x=6

So Hannah is 6 years old. Her sister must be 12.


denis-greek [22]3 years ago
5 0

Answer:


Step-by-step explanation:

Let "Hannah" = h, and her sister = s

h = 2s

h +  s ≤ 18

Plug in 2s for h in the second equation.

(2s) + s ≤ 18

Simplify

2s + s ≤ 18

3s ≤ 18

Isolate the variable (s). Divide 3 from both sides

(3s)/3 ≤ (18)/3

s ≤ 18/3

s ≤ 6

2) The oldest Hannah's sister can be is <em>6 years</em>

<em>~</em>

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Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
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Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

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Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

\implies 10 + (\frac{2}{3}) a = 50

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

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Answer:

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Step-by-step explanation:

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Black (B) balls = 5

Blue (Bl) balls = 2

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White (W) balls = 4

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Next we shall determine the probability of each of outcomes.

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