Ask question

Ask question

All categories

3 years ago

6

There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are lo

aned out. There are now twice as many non-fiction books as fiction books. How many books were in the library? i need an awnser quick ill mark you brainliest if you get it right

1 answer:

Alexxx [7]3 years ago

5 0

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

$F = 3N$

eq2:

$2*(F - 122) = (N - 24)$

$2F - 244 = N - 24$

$2F = N + 220$

Using the 'F' value from the first equation, we have:

$6N = N + 220$

$5N = 220$

$N = 44\ books$

$F = 3N = 132\ books$

The total number of books is:

$F + N = 132 + 44 = 176\ books$

You might be interested in

What is the area of the following trapezoid?<br> 13.5 yd 2<br> 3.38 yd 2<br> 6.75 yd 2<br> 8.25 yd 2

Neporo4naja [7]

Answer:

$area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2 + 7}{2} \times 1.5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6.75 {yd}^{2}$

8 0

4 years ago

Find a single discount equivalent to two successive discount of 20% and 5%

Alexus [3.1K]

Answer:

A discount of 24%

Step-by-step explanation:

100 x 0.8 x 0.95

=76

4 0

3 years ago

Find the value of x. help please

Anni [7]

To find x just set this = to 180 bc is a supp angle so 58+x=180 and then subtract 58 from both sides 180-58=122 rewrite x=122
Hope this helps have a nice day!

8 0

4 years ago

Subject: Mathematics

lina2011 [118]

$\\ \sf\longmapsto \dfrac{1}{x-1}>4$

Multiply x-1 on both sides

$\\ \sf\longmapsto \dfrac{1}{x-1}\times (x-1)> 4(x-1)$

$\\ \sf\longmapsto 1>4(x-1)$

$\\ \sf\longmapsto 1> 4x-4$

Add 4 on both sides

$\\ \sf\longmapsto 1+4> 4x$

$\\ \sf\longmapsto 5> 4x$

Divide both sides by 4

$\\ \sf\longmapsto \dfrac{5}{4}>x$

$\\ \sf\longmapsto x< \dfrac{5}{4}$

Now

ATQ to the equation $\bf \dfrac{1}{x-1}$ x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

$\\ \sf{:}\!\implies 1$

Now

$\\ \therefore\boxed{\bf x\epsilon \left(1,\dfrac{5}{4}\right)}$

6 0

3 years ago

Read 2 more answers

Lesson 2 semester B exam algebra 1B unit 7

Elodia [21]

<h2>Answer:</h2>

720 pounds

<h2>Step-by-step explanation:</h2>

Initially, we have that the amount of algae in the pond is $90pounds$ . Every four hours the amount of algae doubles. If we called $t$ the time and $W$ the amount of algae, we have that:

$At \ t=0 \ hours, \ w=90 \ pounds \\ \\ At \ t=4 \ hours, \ w=2(90)=180 \ pounds \\ \\ At \ t=8 \ hours, \ w=2(180)=360\ pounds \\ \\ At \ t=12 \ hours, \ w=2(360)=720 \ pounds$

Finally, <em>after 12 hours the amount of algae in the pond is 720 pounds</em>

4 0

3 years ago

Read 2 more answers