Answer: 2x(3+4)
Step-by-step explanation: 2x represents the one scoop of food twice a day, and 3+4 represents her 3 cats and 4 dogs.
Answer: 36π
Step-by-step explanation:
A = πr²
A = π(6)²
A = 36π
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
Answer:
There are 1,892,800,000 different standard plates that are possible in this system
Step-by-step explanation:
The plates follow the following format:
D - D - L - L - L - D - D - D
For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.
So, there are
10*10*26*26*28*10*10*10 = 1,892,800,000
different standard plates that are possible in this system
N=5
solve it the same way you would a proportion