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dalvyx [7]
3 years ago
7

Using the digits 1-9 each only once, create three equivalent ratios..

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0
Simple 1/2, 3/6, 4/8
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Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from left to right. How many sea
OLga [1]

Answer:

A. 362,880

B. 4,320

C. 14,400

D. 21,600

Step-by-step explanation:

A.

If there are no restrictions as to how they are seated, then we have permutations of 9 elements and there are 9! (factorial of 9) = 362,880 different seating arrangements.

B.  

If the boys sit in the middle three seats, they can sit in 3!=6 different ways, the girls can sit then in 6!=720 different ways. By the fundamental rule of counting, there are 6*720 = 4,320 different seating arrangements.

C.

We now have arrangements of the type

g, g, x, x, x, x, x, x, g  

The three girls at the ends can be chosen in C(6;3) (combinations of 6 taken 3 at a time) =  

\large \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=20

different ways. The 6 in the middle can be sit in 6!=720 different ways.

By the fundamental rule of counting, there are 20*720 = 14,400 different seating arrangements.

D.

Now we have arrangements

g,b,g,b,x,x,x,x,x

For the 1st position we have 6 possibilities, for the 2nd we have 3 possibilities, for the 3rd we have 5 possibilities and for the 4th we have 2 possibilities. For the last 5 we have 5!=120 possibilities.

By the fundamental rule of counting, there are 6*3*5*2*120 = 21,600 different seating arrangements.

3 0
3 years ago
PLEASE HELP, URGENT
yaroslaw [1]
<span>16 / 4^3 = 4^n
4^2 / 4^3  = </span>4^n<span>
4^-1 = 4^n
-1 = n or n = -1

answer
n = -1</span>
4 0
3 years ago
Read 2 more answers
ASAP! Eliana works at socks r us. Yesterday she sold 62 pairs of sucks. Her boss told her if she can sell 20% more pairs of sock
Dmitry_Shevchenko [17]

Answer:

12.40

Step-by-step explanation:

60(.20)


4 0
3 years ago
If Breanna drives a constant speed for 3 hours and travels 180 miles, what is her speed a mile per hour
Georgia [21]

Answer:

60 mph

Step-by-step explanation:

You divide 180 by 3 to get 60 mph

3 0
3 years ago
Which number line best shows the position of square root of 7?
Serggg [28]

Step-by-step explanation:

First off, you want to find the whole number in square root form

1 = √1

2 = √4

3 = √9

4 = √16

5 = √25

You want to find which to numbers √7 is in between

7 is between 4 and 9 so the √7 is in between √4 and √9 which means that √7 is between 2 and 3

The second one is your answer

I hope this helps!!!

8 0
3 years ago
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