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Arada [10]
3 years ago
9

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and e

ach group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

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How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

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3 years ago
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6 0
2 years ago
1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?
klasskru [66]

Answer:

1. $33

2. 25%

3. 20%

4. Masako

5. 53.20

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Step-by-step explanation:

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2 years ago
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the
Daniel [21]

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : <em> u </em>= 21.62    ( Null hypothesis )

H1 : <em> u</em> = 21.62   ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : <em> u </em>= 21.62    ( Null hypothesis )

H1 : <em> u</em> = 21.62   ( alternative hypothesis )

3 0
3 years ago
What is the solution of 3x + y = 9 and 3x − 5y = 15?
erma4kov [3.2K]

Answer:

Multiply the first equation by five to yield, 15x + 5y = 45. Add this equation to the second equation from the given,

                                      15x + 5y = 45

                            +         3x - 5y = 15

The answer would be 18x = 60. The value of x is 10/3. Therefore, the answer to this item is letter A.

Read more on Brainly.com - brainly.com/question/1504559#readmore

Step-by-step explanation:

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