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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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Answer:

6

Step-by-step explanation:

2,400 divided by 400 = 6

7 0
3 years ago
A triangle is graphed on a coordinate plane, with a vertex located at a point represented by (x,y).
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The value of a is between 0 and 1.
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A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
3 years ago
A right triangle with two congruent legs is always a 45-45-90 triangle.
saw5 [17]

Answer:

True

Step-by-step explanation:

I think this is a true or false question and this is a true statement.

6 0
3 years ago
Read 2 more answers
The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)
velikii [3]

Answer:

Part 1) A=80

Part 2) B=-25

Part 3) C=-40

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

432+A=512

solve for A

subtract 432 both sides

A=512-432=80

Part 2) Find the value of B

75-100=B

solve for B

-25=B

Rewrite

B=-25

Part 3) Find the value of C

C+52=12

solve for C

subtract 52 both sides

C=12-52

C=-40

4 0
3 years ago
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