Mathematics : asked on angie249
 28.12.2021

A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library, the number of fiction books became 5/6 of the total number of books. How many books were there at th3 library at first? Please, I become confused when 6ou say assume whatever as (x) or whatver

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09.07.2023, solved by verified expert
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There approximately 7133 books in the library;

Data;

Let the number of total books = xNumber of fictional books = 3/4xWord Problem

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

A number of fiction books at a library was 3/4, №18009784, 28.12.2021 19:21

Let collect like terms and solve

A number of fiction books at a library was 3/4, №18009784, 28.12.2021 19:21

There approximately 7133 books in the library;

Learn more on word problems here;

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Mathematics
Step-by-step answer
P Answered by Master

There approximately 7133 books in the library;

Data;

Let the number of total books = xNumber of fictional books = 3/4xWord Problem

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

\frac{3x}{4} + 592 = \frac{5}{6}x

Let collect like terms and solve

\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53

There approximately 7133 books in the library;

Learn more on word problems here;

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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