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cupoosta [38]
3 years ago
7

One shelf at Cover-to-Cover Bookstore contains copies of several books on the best-seller list. Half of the books on the shelf a

re 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?
Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Answer:

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.

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Art [367]

The shortest distance separating Julio from Sarah is 111.8ft

To know the distance of the shortest bridge between Julio and Sarah, the following procedure must be carried out.

We know that Julio walked 100ft to one side and Sarah walked 20ft to the opposite side, that is, on the <em>y-axis</em> they are 120ft apart.

On the other hand, Julio stayed by the river and Sarah walked 9ft away from the river, that is, on the <em>x-axis</em> they are separated by a distance of 59ft (assuming that the width of the river is 50ft).

To know the linear distance that separates them, it is necessary to use the following formula of the Pythagorean theorem.

c² = a² + b²

c= \sqrt{a^{2} + b^{2} }

From this operation we know the value of a and b:

a = 120ft

b = 59ft

Now we just have to replace the values in the formula.

c = \sqrt{120^{2} + 59^{2} }

c = \sqrt{14400 + 3481}

c = \sqrt{17881}

c = 133,7

However, 133.5ft is not the value of the bridge distance because Sarah went 9ft away form the river. Then a portion must be subtracted from her to calculate the exact portion of the distance above the river.

For this we must calculate the distance that separates them that is above the Earth, for this we use the same mathematical formula.

c = \sqrt{20^{2} + 9^{2}  }

c = \sqrt{400 + 81}

c = \sqrt{481}

c = 21,9ft

So the distance a part of the Earth covers is 21.9ft. To find out how far the bridge should be over the river, we subtract 21.9ft from the total distance 133.7ft

133,7ft - 21,9ft = 111,8ft

Note: This question is incomplete because it has missing information (the length and width of the river).

Learn more in: brainly.com/question/25292638

5 0
3 years ago
Write the contrapositive of the conditional statement. If it is January, then there are 31 days this month.
kifflom [539]
If there aren't 31 days this month, then it isn't January. 

Hope this helps!
5 0
3 years ago
Read 2 more answers
55+p=105 What is the variable
natta225 [31]
55+p=105
subtract 55 from both sides
p=50
MAGIC
8 0
3 years ago
Read 2 more answers
What is the y-intercept of the line given by the equation y = 9/2x -4 Enter your answer as an ordered pair.
V125BC [204]

Answer:

(0, -4)

Step-by-step explanation:

I don't quite know how to explain it, but I was taught that the number in the equation that doesn't have a variable, in this case -4, is the y-intercept. The order pair is (0, -4) because a y-intercept is where the line crosses the y-axis and the y-axis is located on the 0 of the x-axis.

6 0
3 years ago
The graph of a linear function has a slope of 1/4 and passes through the point (1,3). What is the y-intercept of the function?
Vikki [24]

Answer:

B

Step-by-step explanation:

In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3).  We are told the slope, so everything we have fills in like this:

3=\frac{1}{4}(1)+b

Now we just need to solve for b:

3-\frac{1}{4}=b and

\frac{12}{4}-\frac{1}{4}=b so

b=\frac{11}{4}

8 0
3 years ago
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