Mathematics, 23.07.2020 03:01 ftshaechan

One shelf at Cover-to-Cover Bookstore contains copies of several books on the best-seller list. Half of the books on the shelf are copies of the Number 1 best- seller. Of the remainder, 1/4 are copies of the Number 3 book. The rest are copies of the Number 2 book. If there are 5 copies the Number 2 book, how many best sellers are on the shelf?

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Answer from: stephaniedoffing

The number of best sellers on the shelf are 13.333 best sellers

Step-by-step explanation:

The question is a word problem with the following specifications;

Proportion of the books, B, on the shelf that are number 1 best seller = 1/2 of B

Proportion of the books that are Number 3 book = 1/4 of (1 - 1/2) of B

Proportion of the books that are Number 2 book = 1/2 - 1/4 of (1 - 1/2) of B

Given that there are 5 copies of Number 2 book we have;

1/2 - 1/4 × (1 - 1/2) × B = 3/8 × B = 5

Which gives the number of best sellers on the shelf as B = 40/3 books

If there is a grammatical misunderstanding, we should have;

There appear to be an error in grammar as the statement maybe should have read as follows

Half of the books on he shelf are copes of the Number 1 best seller. The remainder are 1/4 copies of the Number 3 book

Which gives;

Proportion of the books that are Number 3 book = 1/4 of B

Proportion of the books that are Number 2 book = (1 - 1/2 - 1/4) of B

Given that there are 5 copies of Number 2 book we have;

(1 - 1/2 - 1/4) × B = 1/4 × B = 5

Which gives the number of best sellers on the shelf as B = 20 books.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

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