Answer:
4!
Step-by-step explanation:
In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.
So, we have to put vowels at each even position; only then the condition will be satisfied.
We can put this in 3! ways (permutations of A, I & U).
For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).
Hence, the answer is 4!/3! x 3! = 24 ways.
24=4!.
Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)
So first you want to convert both to have the same denominator.
5 1/2 - 3 3/4
To:
5 2/4 - 3 3/4
Now, to make it easier for me, I would convert both to an improper fraction.
5 2/4 -> 22/4
3 3/4 -> 15/4
So now you can just do,
22/4 - 15/4,
which is just 7/4.
This in mixed number form is 1 3/4.
The area of a circle is given by the formula:
A =
r^2
Since
= 3.14, and r = 6, sub these values into the equation,
A = 3.14 x 6^2
= 113.04
Hope this helped!
'Percentage' is obtained by multiplying 2.45 by - 7%.
- 7% × 2.45 =
(- 7 ÷ 100) × 2.45 =
(- 7 × 2.45) ÷ 100 =
- 17.15 ÷ 100 =
- 0.1715 ≈
- 0.17;
<h2>How do we check the result?</h2>
If - 7% × 2.45 = - 0.1715 =>
Divide - 0.1715 by 2.45...
... And see if we get as a result: - 7%.
<h2>Note:</h2>
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
