Answer:
$114.75
Step-by-step explanation:
You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.
13.50 * 4 = 54.00
So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.
13.50 * 4.5 = 60.75
Now, to find the total pay for that day, we add both the morning and the afternoon pay together.
54.00 + 60.75 = 114.75
Therefore, the pay for this day is $114.75.
Nicoles pattern:
1
5
17
53
161
Ian’s pattern:
0
1
3
7
15
Ordered pair:
(1, 0)
(5, 1)
(17, 3)
(53, 7)
(161, 15)
Table 1 -
Sequence 1:
9
11
13
15
17
Sequence 2:
5
8
11
14
17
Ordered pair:
(9, 5)
(11, 8)
(13, 11)
(15, 14)
(17, 17)
Table 2 -
Sequence 1:
20
16
12
8
4
Sequence 2:
20
17
14
11
8
Ordered pair:
(20, 20)
(16, 17)
(12, 14)
(8, 11)
(4, 8)
Table 3 -
Sequence 1:
1
3
7
15
31
Sequence 2:
40
24
16
12
10
Ordered pair:
(1, 40)
(3, 24)
(7, 16)
(15, 12)
(31, 10)
The number of ways that the dancers can line up is; 518400 ways
<h3>What is the Fundamental Counting Theorem?</h3>
The fundamental counting theorem is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
N = n1 * n2 * n3.....*nₙ
Total = 12
Dancers on Green = 6
Dancers on blue = 6
Number of ways for those wearing green = 6!
Dancers wearing green must be in the first position and so 6 places are left for the blue dancers.
Number of ways to arrange those wearing blue = 6!
Thus;
Number of ways that the dancers can line up = 6! * 6! = 518400 ways
Read more about Fundamental Counting Theorem at; brainly.com/question/26814852
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Answer:
x= -6/11 or x= -0.54
Step-by-step explanation:
Distribute into the parenthesis.
-5x-10-3x= 1x-4+2x
*In order to get rid of these parenthesis, multiply by an "invisible one"
Now, add or subtract the common multiples.
-8x-10= 3x-4
Then, move the variable to one side. You do that by adding 8x to both sides, since -8x is less than 3x.
-8x-10= 3x-4
+8x +8x
Once you've moved the variable to one side, add 4 to both sides.
-10= 11x-4
+4 +4
Then, divide both sides by 11 to isolate the variable.
<u>-6</u>= <u>11x</u>
11 11
This leaves you with..
x= -6/11 or x=-0.54
Total number of beads = 3 + 8 + 7 = 18. P(red) = total number of red/total number of beads = 3/18 = 1/6. P(blue) = total number of blue beads/total number of beads left after replacement = 8/17. P(black) = total number of black beads/total number of beads left after replacement = 7/16. Therefore P(red) = 1/6. P(blue) = 8/17. P(black) = 7/16.