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zhenek [66]
2 years ago
9

Felica wants to rent a part room at a game center . The game center charges $50 to rent the room puls $5 per person . if alicia

only has $135 , how many freinds can she invite?
PLEASE HELP ME
Mathematics
1 answer:
Kipish [7]2 years ago
6 0

Answer:

17 people

Step-by-step explanation:

135-50=85

85/5=17

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Find the number of ways of arranging the numbers
Doss [256]

First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).

So, we can think of our numbers as

\begin{array}{c|c}x&x\mod 3\\0&0\\1&1\\2&2\\3&0\\4&1\\5&2\\6&0\\7&1\\8&2\\9&0\end{array}

In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

For example, we could arrange our numbers following the pattern

0,1,2,0,1,2,0,1,2

or

2,0,1,2,0,1,2,0,1

We have 3!=6 possible patterns. Suppose for example that we choose the pattern

0,1,2,0,1,2,0,1,2

One possible way of following this pattern would be the arrangement

3,1,2,6,4,5,9,7,8

In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).

This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have

3\cdot 3\cdot 3\cdot 2 \cdot 2 \cdot 2 = 216

possible ways of following a fixed pattern. Since the number of patterns was 6, we have

216\cdot 6 = 1296

possible arrangements.

7 0
3 years ago
Read 2 more answers
One-eighth of a number is -4,200. What is the number?
joja [24]
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4 0
3 years ago
X
galina1969 [7]

Answer:

2 angles that meet at an endpoint

8 0
3 years ago
Need some answers for this one
Schach [20]

Answer:

20.6

Step-by-step explanation:

Since the diameter of each circle is 4, the dimensions of the rectangle is 8x12

The area of the whole rectangle is 96

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The area of 1 circle is 2^{2} *\pi =12.56...

So the area of all 6 circles is 12.56*6= 75.39...

So to find the area of yellow you have to subract the area of circle from the overall area of the rectangle

96-75.4=20.6

4 0
3 years ago
Question 13 pls, that is the full question and there is no diagram
insens350 [35]
For similar figures, the ratio of areas is the square of the ratio of linear dimensions. The smaller billboard requires
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3 years ago
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