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sergij07 [2.7K]
3 years ago
10

Vivian has a 550 page book on folk tales . If she reads 9 pages everyday before falling asleep . how many days will it take her

to finish the book​
Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

62 days

Step-by-step explanation:

Given that she reads 9 pages everyday before falling asleep. Then, on day one, she would read 9m pages.

On day 2, she would read another 9 pages, making 18 pages after 2 days. If she will finish the book in x days then

x = 550/9

=61 1/9 days

Converting the 1/9 into a day then, she will finish the book in 62 days, reading just a page on the 62nd day.

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Consider the following geometric series. [infinity] (−7)n − 1 8n n = 1. Find the common ratio. Determine whether the geometric s
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3 0
3 years ago
PLS HELP
Anika [276]

The chairs in the auditorium illustrates an arithmetic sequence

  • The recursive rule is:  an = an-1 + 8; a1 = 26
  • The explicit rule is:  an = 18 + 8n
  • There are 74 seats in the 7th row
  • 840 chairs can fit the auditorium

<h3>The recursive rule</h3>

From the question, we have the following sequence:

Seats: 18, 26, 34

Rewrite as:

26 = 18 + 8

34 = 26 + 8

The above means that:

The number of seats on a row is 8 added to the the number of seats on the previous row.

Hence, the recursive rule is:

an = an-1 + 8; a1 = 26

<h3>The explicit rule</h3>

In (a), we have:

a1 = 26 and d = 8

The explicit rule is calculated using:

an = a1 + (n -1) * d

This gives

an = 26 + (n - 1) * 8

Expand

an = 26 - 8 + 8n

Evaluate the difference

an = 18 + 8n

Hence, the explicit rule is:

an = 18 + 8n

<h3>The number of seats in the row 7</h3>

This means that n = 7.

So, we  have:

a7 = 18 + 8 * 7 = 74

Hence, there are 74 seats in the 7th row

<h3>The sigma notation</h3>

We have the maximum number of rows to be 12.

So, the sigma notation would be:

\sum\limits^{12}_{n=1} {18 + 8n}

The total number of seats is:

Sn = n/2(2a + (n -1) * d)

This gives

S12 = 12/2(2 * 26 + (12 -1) * 8)

S12 = 840

Hence, 840 chairs can fit the auditorium

Read more about arithmetic sequence at:

brainly.com/question/6561461

7 0
2 years ago
parker correctly answered 70% of the questions on his math test. If he answered 35 questions correctly, how many questions were
Alexandra [31]

Let the total number of questions in the math test be defined by the variable x.

Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.

The information we have above can be expressed as an equation given below:

70% of x=35

This can be rewritten as:

\frac{70}{100}x=35

Thus, to find the total number of questions we will have to isolate x.

\therefore x=\frac{35\times 100}{70}=50

Therefore, there were a total of 50 questions in the math test.

4 0
3 years ago
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