Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:

where
is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:

From the last part of the second sentence, we can set up the following equation:

We can substitute the second equation into the last one to get the following:



We can then substitute the last two equations in the first to solve for
:



Plugging this into the other two equations will give us the remaining ages:






There is to say, for each first roll, we start out with six possibilities; for each of these, there are six possibilities for the second roll; finally, for each second roll, there are six possibilities for the third. So, 6 cubed. So, 216 is our denominator, i.e., the number of all possible outcomes.
Answer: 216
Answer:

Step-by-step explanation:
The reflection of a function
along the
is given by
.
Here the given function is
. Therefore the reflection would be
.
To find reflection draw the graph of it and think about how the graph of its mirror image would be. You would arrive at the reflection function.
1. write the division as a fraction
9+n/2>16 → 9+1/2n>16
2. multiply both sides of the inequality by 2
2x9+2x1/2n>2x16
3. multiply the numbers and reduce the numbers with greatest common divisor 2 (remove number 2, the common factor from equation)
18+n>32
4. move constant to the right by adding its opposite to both sides
18+n-18>32-18
5. eliminate the opposites
n>32-18
6. subtract the numbers
n>14
hope this helped!
r = 30 cm
formula: A = πr²
A = πr²
A = π30²
A = 900π
if π = 3.14, then the answer is 2,826 cm
if π is not defined, the answer is 2,827.43 cm