Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of
2 answers:
I would use a chart to solve this problem.
This is a good wya to organize your information.
Down the left side, list the people involved.
I put Bob first and the mom second but the order doesn't matter.
Since Bob's mom is 3 times older than Bob, we can represent
Bob's age now as x and Bob's mom's age now as 3x.
Bob's age in 12 years will be x + 12 and Bob's mom's
age in 12 years will simply be 3x + 12.
Since the second sentence starts with in 12 years,
we will be using the information from our second column.
In 12 years, Bob's mom's age, 3x + 12, will be,
equals, twice of her son's age, 2(x + 12).
Solving from here, we find that x = 12.
This means that Bob's age now is 12 and his mom is 36.
The chart is attached below.
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Given:
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.
To find:
The coordinates of that point.
Solution:
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A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get
Therefore, the coordinates of the required point are (0,3).
Answer:
For the profit of $5,000, the key chains made is n = 4,000.
Step-by-step explanation:
Here the given expression , where: n = Number of key rings in thousands is given as:
P(n) = n²- 2 n - 3
Now, Profit is given to be $5,000.
Also, as we know 5000 = 5 x (1,000)
⇒ n²- 2 n - 3 = 5
Now, solving the above expression for the value of n, we get:
So, n = 4, OR , n = -2
Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.
So, n= 4 = 4 x (1,000) = 4,000 key rings.
Hence, for the profit of $5,000, the key chains made is n = 4,000.