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

Answers

Answer 1

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:

[tex]F = 3N[/tex]

eq2:

[tex]2*(F - 122) = (N - 24)[/tex]

[tex]2F - 244 = N - 24[/tex]

[tex]2F = N + 220[/tex]

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

[tex]6N = N + 220[/tex]

[tex]5N = 220[/tex]

[tex]N = 44\ books[/tex]

[tex]F = 3N = 132\ books[/tex]

The total number of books is:

[tex]F + N = 132 + 44 = 176\ books[/tex]


Related Questions

Help urgently with 1 and 2

Answers

Answer:

1: b

2: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-D

2-B

Find the y-intercept of the line on the graph

Answers

Answer:

The answer to this is y=-2

Step-by-step explanation:

The answer is the point at which the line intercepts the y-axis.

Hope this helped. :)

Answer: -2

Step-by-step explanation:

The y-intercept of a line is the point where the line intersects with the y-axis.

Hope it helps <3

Plz help, and it's easy, 3D shapes ASAP

Answers

Answer:

9. A cylinder

10. A cone

Step-by-step explanation:

You sketched the shapes right

Answer:

Please look below for your answer

Step-by-step explanation:

The first is a cylinder and the second is a cone. Those are amazing drawings B.T.W. I love them

I hope I helped

Please mark me as brainliest

WHAT IS THE EQUATION: Tamara is going with her class on a three-day field trip. the cost of the trip is $76 per student. the price includes $14 per night for two nights in a hotel. Tamara will also receive six meal tickets. Each meal ticket costs the same amount. how much does each meal ticket cost?

Answers

Answer:

$8

Step-by-step explanation:

The cost is $76 per student so first we subtract the cost of two nights at the hotel which together is $28.

$76 - $28 =$48

Now the money left is $48 which is supposed to be used for the six meal tickets. so, to find the cost of 1 meal ticket we just have to divide the remaining amount of money by 6.

$48 ÷ 6 = $8

Answer:

$8

Step-by-step explanation:

Trust me

Find the following System by the cramer's rule 4x-2y=8 3x+y=-4

Answers

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Which of the following is an arithmetic sequence?

Answers

Answer:

B

Step-by-step explanation:

An arithmetic sequence there will be a constant difference between terms.

Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].

Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.

Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.

Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.

I hope this helps, ask me any question if you do not understand :)

What is the area of the rhombus ABCD is AB is 11.2, diagonal AC is 17, and diagonal BD is 15

Answers

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

HELP ME ASAP PLEASE!

Answers

Answer:

x = 6, y = 1

Step-by-step explanation:

-5x+10y = -20

5x-4y = 26

Adding both equations

=> -5x+10y+5x-4y = -20+26

=> 10y - 4y = 6

=> 6y = 6

Dividing both sides by 6

=> y = 1

Putting y = 1 in the first equation

=> -5x+10(1) = -20

=> -5x = -20-10

=> -5x = -30

Dividing both sides by -5

=> x = 6

Answer:

X = 6y = 1

Step-by-step explanation:

Using the elemination method,

-5x + 10y = - 20

5x - 4y = 26

_____________

6y = 6

divide both sides of the equation by 6

6y/6 = 6/6

y = 1 --------> equation (i)

again,

Finding the value of X,

plugging the value of y from equation (i)

-5x + 10y = -20

or, -5x + 10*1 = -20

or, -5x + 10 = -20

or, -5x = -20-10

or, -5x = -30

or, x = -30/-5

X = 6

Hope this helps....

Good luck on your assignment..

Helppp!!!! please!!!

Answers

Answer:

Option D

Step-by-step explanation:

Area of trapezium = sum of 2 parallel sides × height / 2

Here the two parallel sides are = 8 in. and 12 in.

And height = 7 in.

∴ Area of the trapezium = ( 8 + 12 ) × 7 / 2

= 20 × 7 / 2

=70 in^2

Hope this helps

plz mark as brainliest!!!!!!!!

Divide £35 into the ratio 3:4

Answers

Answer:

To divide it into the above ratio we must first find the total parts which is

3 + 4 = 7

First part is

3/7 × 35

= 3 × 5

= £ 15

Second part is

4/7 × 35

= 4 × 5

= £ 20

Hope this helps you.

Find the value of x.

Answers

Answer:

x=20°

Step-by-step explanation:

X and Z are inscribed with the same arc (40°)

so the value of x and z are the same

X=Z

Z=1/2(inscribed arc)

Z=1/2(40°)

z=20°..... since z=x

X=20°

Simplify √18. Help!!! I am on a test on ingenuity. 2√3 2√9 3√2 9√2

Answers

the answer is √18 = 3√2

After Luca took his dogs on a walk,he gave them 6 dog treats.When Luca dad got home from work he gave the dogs t more treats.All together the dogs got 10 treats

Answers

Answer:

t=4

Step-by-step explanation:

6+t=10

-6    -6

t=4

Answer:

T=4

Step-by-step explanation:

t+6=10

-6

10-6=4

t=4

What is the average rate of change of F over the interval [0,7]?

Answers

Answer:

0

Step-by-step explanation:

Note that we start at (0, -4) and end at (7, -4).  Thus, the net change in y over the interval [0, 7] is 0, and the average rate of change of f(x) over that interval is thus

   0

--------- = 0

    7

Answer:

0

Step-by-step explanation:

what is pythagorus theorum?

Answers

Answer:

when the square on the hypotenuse of a right-angled triangle is equal in to the sum of the squares on the other two sides

Step-by-step explanation:

let's say......

h = ?

o = 4

a = 4

a^2+o^2=32

square root 32

5.65685424949

that is the value for h

Answer:

A^2+B^2=C^2

you use it the find any length of a right angled triangle

Which function has the greatest rate of exponential growth? Multiple choice options below.

Answers

Answer:

Option (3).(Bottom left)

Step-by-step explanation:

Formula for the exponential growth is,

h(x) = [tex]a(1+\frac{r}{100} )^{t}[/tex]

where r = rate of exponential growth

a = initial amount

t = duration or time

Option (1) (Top left)

h(t) = [tex](1+0.18)^{\frac{t}{6}}[/tex]

     = [tex](1+\frac{18}{100})^t[/tex]

Rate of exponential growth will be,

r = 18%

Option (2) (Top right)

k(t) = [tex](\frac{3}{8})^t[/tex]

     = [tex](1-\frac{5}{8})^t[/tex]

     = [tex](1-0.625)^t[/tex]

     = [tex](1-\frac{62.5}{100})^t[/tex]

r = -62.5%

This function shows the exponential decay rate of 62.5%.

Option (3) (Bottom left)

f(t) = [tex]1.36^t[/tex]

    = [tex](1+0.36)^t[/tex]

    = [tex](1+\frac{36}{100})^t[/tex]

r = 36%

Option (4) (Bottom right)

g(t) = [tex]0.86^t[/tex]

     = [tex](1-0.14)^t[/tex]

     = [tex](1-\frac{14}{100})^t[/tex]

r = -14%

This function shows the decay rate of 14%.

Therefore, Option (3). (Bottom left) shows the greatest exponential growth.

how to do this plzz​

Answers

Answer:

88 cm²

Step-by-step explanation:

The perimeter of each square is 22 cm

we should divide by 4 to get the length of the square

22/4=5.5 cm

so we should multiply by 2 to get the length of the rectangle

5.5*2= 11

the perimeter is :

P= 5.5+5.5+5.5+11+11+5.5+5.5+11+11+5.5+5.5+5.5 =  88 cm²

1/2g-4=2g-1/2g+4


does it have one solution or infinitely many solutions ? Why ?

Answers

Answer: One solution

Explanation:

2g - (1/2)g = (4/2)g - (1/2)g = (3/2)g

The original equation becomes (1/2)g-4 = (3/2)g+4

The slopes are 1/2 and 3/2 respectively. Since the slopes are different, the two lines cannot be parallel.

Since we don't have parallel lines, they intersect at exactly one point leading to exactly one solution.

Answer:

the first one- one solution

the second one- infinitely many solutions

Step-by-step explanation:

1/2g-4=2g-1/2g+42g-1/2g-1/2g= -4-4g= -8

One solution as one intersection point

=========

-2.1b + 5.3 = b- 3.1b +5.3-2.1b + 5.3 = -2.1b + 5.3

considering this equation as lines, these are two overlapping lines, so there are infinitely many solutions

Subtract p - q from 2p - q + 4. answer the following with explanation

i need the answer ASAP pls tell the answer and i will mark as the brainliest

Answers

Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

Answer:

[tex]\boxed{p+4}[/tex]

Step-by-step explanation:

It will be like

=> (2p - q + 4) - (p-q)

=> 2p-q+4-p+q

Combining like terms

=> 2p-p-q+q+4

=> p+4

14 of 46
E Sa
Function Transformations: Tutorial
Part B
Open the graphing tool, and compare the functions using the sliders. What can be said about the domain of
y= VX - kand the domain of y = VX + k?

Answers

Answer:

Therefore, domain of y = [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

Domain of y = [tex]\sqrt{x}+k[/tex] ; Domain = [0, ∞)

Step-by-step explanation:

Two functions are,

y = [tex]\sqrt{x-k}[/tex]

and y = [tex]\sqrt{x}-k[/tex]

Let the value of k = 1

Then we find the graph of the functions attached.

By analyzing these graphs,

y = [tex]\sqrt{x-1}[/tex] when shifted 1 unit right and 1 unit down we get a new function,

y = [tex]\sqrt{x}+1[/tex]

Therefore, domain of y = [tex]\sqrt{x-1}[/tex] ; Domain = [1, ∞)

Domain of y = [tex]\sqrt{x}+1[/tex] ; Domain = [0, ∞)

Similarly, domain of y =  [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

And domain of y = √x + k ; Domain = [0, ∞)

Please Help I will give out brainliest

Answers

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

what is 2 7/15 x 1 3/7

Answers

Answer:

The answer is 3 11/21

Step-by-step explanation:

Answer:

              [tex]\underlie{\bold{\ 3\frac{11}{21}\ }}[/tex]

Step-by-step explanation:

[tex]2\frac7{15}\cdot1\frac37=\frac{2\cdot15+7}{15}\cdot\frac{1\cdot7+3}{7}=\frac{37}{15}\cdot\frac{10}{7}=\frac{37}{3}\cdot\frac{2}{7}=\frac{37\cdot2}{3\cdot7}=\frac{74}{21}=\frac{3\cdot21+11}{21}=3\frac{11}{21}[/tex]

the polynomial below is a perfect square trinomial of the form A^2-2AB+B^2. 9x^2 - 30x + 25

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]9x^2-30x+25 = (3x)^2-2*5*3x+5^2 = (3x-5)^2[/tex]

so A=3x and B=5

hope this helps

Answer:

true

Step-by-step explanation:

i just took the apex quiz

A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5). A function f(x) is graphed. What is the slope of the function? m = What is the y-intercept of the function? b = Which equation represents the graph of the function?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Functions.

so after plotting the graphs, we get as,

==> m = 2.5

==> b = 0

==> y = mx+c

a straight line

Answer:

your answer is, because i got it right your welcome

Step-by-step explanation:

Which are examples of binomials? Check all that apply.

Answers

Answer:

b,d,e,f and g

Step-by-step explanation:

A binomial is a polynomial with 2 terms

● a has only one term (15)

● b has two terms 15x and 2 so it is a binomial

● c has only one term so it's not a binomial

● d has two terms 512v^5+ 99w^5

● e has also two terms -6y^2 and (-79)x

● f= 2(3x+4) = 6x+8 so f has two terms then it's a binomial

● g has also two terms

B and D and E and F are all buinilail try and tell me if it work

Can someone help me solve this question? I'd appreciate it! Thank you.

Answers

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

mckenna ears money eat time she shovels snow for her neghbors

Answers

Sorry, what is the question? OwO

Which inequality is represented by this graph?
Help please :’/

Answers

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Let's consider the scenario: You bring a hunting rifle to forest, and you see a tree full of birds. You count 15 birds total. You shoot 1 down. HOw mAny are left?

Answers

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Multiply. 1 2/9 1 4/5

Answers

Answer:

[tex]2\frac{1}{5} [/tex]

Solution,

[tex]1 \frac{2}{9} \times 1 \frac{4}{5} \\ = \frac{11}{9} \times \frac{9}{5} \\ = \frac{11}{5} \\ =2 \frac{1}{5} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

2 1/5

Step-by-step explanation:

1 2/9 × 1 4/5

Convert to improper fractions.

11/9 × 9/5

Multiply.

(11 × 9)/(9 × 5)

99/45

Simplify.

11/5 or 2 1/5

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