Answer:
the length in fraction form would be 16 1/2 rounded to the nearest 10 would be 20
Step-by-step explanation:
because 16.5=16 1/2
16.5=17
17=20
Answer: There are 456975758 plates that the state can issue.
Step-by-step explanation:
Since we have given that
Number of letters = 4
Number of numerals = 3
And 242 letter arrangements are not allowed.
As we have 26 letters i.e A-Z
and numerals i.e, 0-9
So, the number of plates would be

So, the restricted letters deducting would be

Hence, there are 456975758 plates that the state can issue.
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
Answer:
This sequence is a geometric sequence.
The common ratio of the sequence is
3/9 = 1/3
Hope this helps