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Sholpan [36]
3 years ago
15

On a given week, the classical literature section in a certain library had 40 different books, all of which were in stock on the

shelf on Monday morning. If 50 percent of the books that were borrowed during the week were returned to the library on or before Saturday morning of that same week, and if there were at least 22 books on the shelf that Saturday morning, what is the greatest number of the books that could have been borrowed during the week?
Mathematics
2 answers:
AlexFokin [52]3 years ago
8 0

Answer:

The greatest number of the books that could have been borrowed during the week are 36.

Step-by-step explanation:

Let the total number of books or N = 40

Let the number of borrowed books be = B

As given, the number of books available are greater than 22.

We get the following equation as per scenario:

\frac{B}{2}+(N-B) \geq 22

=> B+2N-2B \geq 44

=> 2N-B \geq 44

Substituting N = 40, we get ;

B\leq 36

Therefore, the maximum possible number of borrowed books will be 36.

Montano1993 [528]3 years ago
6 0

Answer:

The greatest number of the books that could have been borrowed during the week is 36

Step-by-step explanation:

Let's create an equation which represent this problem, where will rest the book borrow and add the book returned to the 40 initial amount of book on Monday, to get the 22 book in the shelf on Saturday morning

40 (book on the shelf on Monday) - x (book borrowed) + 0.5 * x (50 % of the book was returned before Saturday) = 22 (books in the shelf on Saturday morning)

40 - x + 0.5 * x = 22

40 - 0.5*x = 22

18 = 0.5 * x

18/0.5 = x

36 = x

The amount of borrowed books is 36

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6 0
3 years ago
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain br
alexandr1967 [171]

Answer: 50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

6 0
3 years ago
Can someone please help with this question
den301095 [7]

Answer:

here..

Step-by-step explanation:

1\4

4 0
2 years ago
Read 2 more answers
A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies c
NemiM [27]
1.75 + 0.25x ≤ 15
where x is equal the number of miles.

The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done. 

15 - 1.75 = 13.25
13.25/0.25 = x 
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
4 0
3 years ago
Ху
Galina-37 [17]

Answer:

a

Step-by-step explanation:

-2 over 3 is it cuz -4 over 6 simplifies to that and all the others do too

8 0
3 years ago
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