Of the 1450 books in the library, there are 6 times as many books in the fiction section as are in the nonfiction section. Also, there are 400 more books in the reference section than are in the nonfiction section. How many books are in each section?
Fiction: Nonfiction: Reference:

Answers

Answer 1

Number of books in non fiction section  = 200

Number of books in fiction section  = 800

Number of books in reference section  = 850

Step-by-step explanation:

Total number of books in the library = 1850

Let us assume, number of books in non fiction section = m

Number of books in fiction section= 4 x Number of books in non  fiction

= 4  x  (m)

So, the number of books in reference section = 650 + m

Now, Total Number of books =  Number of { Fiction + Non- Fiction + Reference} Books

or,  1850 =  m + (4 m)  + 650 + m

or, 6 m + 650 = 1850

⇒ 6 m = 1850 - 650 = 1200

or, m = 1200 / 6 = 200  

⇒ m = 200

Hence, the number of books in non fiction section  = 200

Number of books in fiction section  =  4 m = 4 x 200 = 800

Number of books in reference section = 650 + m  = 200 + 650 = 850


Related Questions

Tan2 x + sec2x= 1 for all values of x true or false

Answers

Answer:

true

Step-by-step explanation:

It’s false. You cannot prove it because it is not an identity

i am dumb pleasle help
The ratio of white socks to brown socks is

Answers

Answer:

3:2 is the ratio.

Step-by-step explanation:

Nami's lemonade pitcher will hold 3 5 gallons of lemonade How many pints of lemonade will the pitcher hold?​

Answers

Answer:

8 pints

Step-by-step explanation:

What is the greatest common factor, and how is the distributive property used to factor it out from a polynomial?

Answers

Answer:

To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.

Step-by-step explanation:

Answer:

To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.

Step-by-step explanation:

Two cases of cans weigh 32 lbs. How much do 7 cases weigh?

Answers

Answer:

112 lbs

Step-by-step explanation:

32/2 = 16 lbs

16*7 lbs = 112 lbs

PLS GIVE BRAINLIEST

Use an exponent to write each expression 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9

Answers

the exponent is 7^9 i forgot what they were called i’m sorry

On a loan of $3520.10, if the one-time simple interest was at 7.77% of the principal, how much interest was incurred?

Answers

Answer:

Step-by-step explanation:

3520.10*7.77%= $273.51



Hi, this is apart of my homework assignment!
The Directions are, “Find the Percent Change. Specify an increase or a decrease.”


13. original amount: 25
amount of increase: 4

This is worth 12 pts!

Answers

Answer:

Percent Change is 16%

The change is increased.

Step-by-step explanation:

The original amount = 25

Amount increase = 4

We need to find percent increase

The formula used is: [tex]\frac{Amount \ increased}{Original \ Amount}*100[/tex]

Putting values in formula

[tex]Percent \ Change = \frac{Amount \ increased}{Original \ Amount}*100\\Percent \ Change =\frac{4}{25}*100\\Percent \ Change =16 \%[/tex]

So, Percent Change is 16%

The change is increased.

what 4p-5(p+6)simplified

Answers

Answer: -p - 30

Step-by-step explanation:

A polyhedron with two parallel congruent faces called bases connected by parallelogram faces is called a...

Answers

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"

Will someone help me please please please please :D

Answers

Answer:

I believe it's C, 0.4 x 0.7

Step-by-step explanation:

It’s 10 by 10 table
So it’s 0.4 x 0.7

Using long division, what are the first 4 digits in converting
13/33
to decimal form?

Answers

Answer:

0.3939

Step-by-step explanation:

yup ^ they’re correct

4(x+8)+9(6-2x)
plz explain me step by step plz answer me fast​

Answers

Plz mark me brainliest if it was useful for you !!!
Ans is 86 - 14x
Steps in image :-

Answer:

86-14x

Step-by-step explanation:

4(x+8)+9(6-2x)

4x-18x+54

4x-18x+86

-14x+86

86-14x

i am currently struggling on number 5

Answers

Answer:

7 and 5 also 3 probably I guess

How can I isolate the variable f in f/3 + 22 = 17

Answers

Answer:  First You Have To Simplify The Equation From Both Sides Then Thats how You Will Determine what f is. F = -15

Variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex] in the expression [tex]\frac{f}{3}+22=17[/tex].

Variable

A variable is a symbol and placeholder for a changing amount or any mathematical object.

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.

Given expression is [tex]\frac{f}{3}+22=17[/tex]

Transpose [tex]22[/tex] to the right side of the equation.

[tex]\frac{f}{3}=17-22\\\frac{f}{3}=-5[/tex]

[tex]f=-15[/tex]

So, variable [tex]f[/tex] is isolated as [tex]\boldsymbol{f=-15}[/tex]

Find out more information about algebraic expression here:

https://brainly.com/question/2945451?referrer=searchResults

An object travels in a straight line for 1200 m in 20 seconds. What is the average velocity? *

Answers

Answer:

Velocity is 20

Step-by-step explanation:

well you divide the meters traveled by the time it took and you should get your answer.

1. divide 1200 by 20

2 answer should be 60

(HELP ASAP ILL GIVE BRAINIEST)
Graph h(x) = { x +4.

Answers

The attached picture is the graph of:

[tex]h(x)=\frac{2}{3} +4[/tex]

When finding the slope of a line using a slope triangle, the____
length is divided by the____
length.

Answers

Answer:

rise, run

Step-by-step explanation:

When finding the slope of a line using a slope triangle, the RISE length is divided by the RUN length. (I think. Sometimes the "divided by" makes me confused about which is on top, but I'm pretty sure this is right.)

Read this introduction to a magazine article

What will most likely be included in the magazine

article that follows this introduction?

Summertime is near, and the lifeguard's whistle

beckons. It is almost time for the swimming season of

course, with swimming season comes slippery pool

decks and shallow water at the end of some docks And

there are always a few swimmers who overestimate

their skills or underestimate their fatigue

O the benefits of swimming

a technical description of strokes

water-safety suggestions

water-centered vacation destinations

Jp

Answers

Answer:

water-safety suggestions

Explanation:

We can make this conclusion because we notice this addition from the opening lines of the article, "Summertime is near, the lifeguard's whistle  beckons.."

By such Inclusion, the article in other words is saying that since during summertime many people go swimming, it would be best to follow some water-safety suggestions. Therefore, it is most likely to be included in the magazine.

Answer:

water-safety suggestions

Step-by-step explanation:

evaluate-(3^5)(3^3)

Answers

Answer:

(3+(3)/(5))(3-(3)/(5))

Step-by-step explanation:

Answer:

the answer is 25:)

Step-by-step explanation:

(2,8),(7,8) slope of the line​

Answers

Answer:

The slope of line is 0 given points (2,8)(7,8)

Step-by-step explanation:

We need to find slope of line given points (2,8),(7,8)

The formula used to find slope of line is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given:

[tex]x_1=2, y_1=8, x_2=7 \ and \ y_2=8[/tex]

Finding slope using formula:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-8}{7-2}\\Slope=\frac{0}{5}\\Slope=0[/tex]

So, the slope of line is 0

b. Were you able to find the solution(s) of each Mathematical sentence? How did
you find the solution(s) of each Mathematical sentence?

pls,,, help me mga tol​

Answers

Answer:

Evaluate each given numbers, expressions or equation.

Check the values or numbers.

Now in order to solve we proceed in the manner

Read the problem Analyze the problem Write the given variables Find the missing variables Write the equation Solve the equation

Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let S be the sum of the number and its reciprocal. Write the objective function in terms of x. ​S(x) nothing The interval of interest of the objective function is nothing. ​(Simplify your answer. Type your answer in interval​ notation.) The number is 0.

Answers

Answer:

[tex]S(x) = x + \frac{1}{x}[/tex] --- Objective function

Interval = [tex]\{x:x=1\}[/tex]

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

[tex]x + \frac{1}{x}[/tex]

Hence, the objective function is:

[tex]S(x) = x + \frac{1}{x}[/tex]

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

[tex]S'(x) = 1 - \frac{1}{x^2}[/tex]

Equate S'(x) to 0 in order to solve for x

[tex]0 = 1 - \frac{1}{x^2}[/tex]

Subtract 1 from both sides

[tex]0 -1 = 1 -1 - \frac{1}{x^2}[/tex]

[tex]-1 = - \frac{1}{x^2}[/tex]

Multiply both sides by -1

[tex]1 = \frac{1}{x^2}[/tex]

Cross Multiply

[tex]x^2 * 1 = 1[/tex]

[tex]x^2 = 1[/tex]

Take positive square root of both sides because x is positive

[tex]\sqrt{x^2} = \sqrt{1[/tex]

[tex]x = 1[/tex]

Representing x using interval notation, we have

Interval = [tex]\{x:x=1\}[/tex]

To get the smallest sum, we substitute 1 for x in [tex]S(x) = x + \frac{1}{x}[/tex]

[tex]S(1) = 1 + \frac{1}{1}[/tex]

[tex]S(1) = 1 + 1[/tex]

[tex]S(1) = 2[/tex]

Hence, the smallest sum is 2

helllllllppppp me please

Answers

Answer:

no

Step-by-step explanation:

plssssssssssssssss helpppppppppppp and I'll give you a brainliest

Question:

Donatella is planning to mount a television on a wall and wants to make sure it is centered. The wall is 8834 inches in length and she wants to have at least 2412 inches on each side of the television for external speakers. Donatella has researched the lengths of five different televisions.

SELECT ALL of the televisions would fit the remaining space.

Answers Choices:


A. Television A with a length of 3612 inches.


B. Television B with a length of 3814 inches.


Television C with a length of 3934 inches.


C. Television D with a length of 4058 inches.


D. Television E with a length of 4218 inches.

Answers

Answer:

Television A, B, and C would all fit.

Step-by-step explanation:

2412 * 2 = 4824

8834 - 4824 = 4010

Therefore, all TVs 4010 inches or less would fit

Point A is located at (-4, -5). After it is translated, point A' is located at (-4, 1). What was the translation?
6 units down
6 units up
6 units to the left
6 units to the right

Answers

Answer: 6 units up

Step-by-step explanation:

because -5 +6 is 1, we know that the translation is 6 units up

the ratio of males to females at camp is 5 to 4. if there are 40 males at the camp, how many females are there?

Answers

Answer:

32

Step-by-step explanation:

5:4 is the ratio. So 40/5 is 8. Therefore, you must multiply 4 by 8 to get the amount of females at the camp. Ergo, the answer is 32

Answer:

32

Step-by-step explanation:

You can solve this by setting up a proportion.

A 5 to 4 ratio is the same as [tex]\frac{5}{4}[/tex]

The proportion is [tex]\frac{5}{4}[/tex] = [tex]\frac{40}{x}[/tex]

By cross multiplying... you find that x (females) is equal to 32

Which statements are true? Select the five correct answers. StartRoot 1.8 EndRoot < 1.8 StartRoot 1.8 EndRoot greater-than 1 StartRoot 1.8 EndRoot less-than StartRoot 1.9 EndRoot 1.3 less-than StartRoot 1.8 EndRoot less-than 1.4 StartRoot 1.9 EndRoot + StartRoot 1.8 EndRoot greater-than 2 StartRoot 1.9 EndRoot minus StartRoot 1.8 EndRoot greater-than 0.1

Answers

Answer:

A,B,C,D,E

Step-by-step explanation:

Answer:

a b c d e

Step-by-step explanation:

edge 2023

3x + 2 y = 8
5x + 2 y = 12
What is the solution of the system of equations shown above?

Answers

Answer:

x = -3

Step-by-step explanation:

First solve it:

Subtract the x's from both sides

2y = -3x +8

2y = -5x +2

Divide by two

y= -1.5x + 4

y = -2.5x +1

set them equal to each other:

-1.5x +4 = -2.5x +1

Add 2.5 x to both sides

1x +4 = 1

x +4 = 1

subtract 4 from both sides

x = -3

Given mn, find the value of x.

Answers

Answer: x = 15

we have: (6x - 5)° + (6x + 5)° = 180°

⇔ 12x = 180

⇔ x = 180/12=15

Step-by-step explanation:

omg do u have more i love those
Other Questions
Textual Evidence:Find the lines that show that Mr. Frank no longer feels at home inAmsterdam.O "Don't you ever get tired of talking? Suppose you try to keep still for five minutes. Just fiveminutes."O "I can't stay in Amsterdam, Miep. It has too many memories for me. Everywhere, there'ssomething..."O "You don't now how your husband helped me when I came to this country... knowing noone... not able to speak the language."Pregunta 71 pts Write the equation of a line PERPENDICULAR to y = 4x + 3 that passes through the point (4, 1) If m f(x) M for a x b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], thenm(b a) bf(x) dxa M(b a).Use this property to estimate the value of the integral.231 + x2 dx0 Ace plays please help me with it... How is using the element of line and the compositional technique of leading lines different? Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 02 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0 Is 518 decimal number Which version best uses variety of sentence structures to enhance the flow and writing style of a story? URGENT In India, the British replaced the _____ Empire. Mauryan Gupta Mughal Question 75 ptsIf a lawyer gets hearsay admitted during a trial, the lawyer on the other side can attackthe credibility of the person who originally made the statement.0 TrueO False solving 2 step equations k/9 -1=10 how do u mark brainlist pls? hurry A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.8 mi 5 mi2000 ftNote: Figure is not drawn to scale.What is the elevation in feet of the road 5 miles from the starting point? A. 1000 B. 1250 C. 750 D. 1500 If a car is traveling forward at a constant speed of 60 miles per hour, but then turns right without changing its speed, Is It accelerating? Explain why or why not? Two linear functions are shown. Which function has the greater initial value? Find the slope of the line: ill give brainliest :)picture above ^^ In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy? In the crucible The reader can no longer sense any tension between Elizabeth and John Proctor regarding his past relationship with Abigail.True or False, or the text is too ambiguous for the reader to make an assessment cell d1 contains the value 7.877 you want cell d1 to display this value as 7.9 how can you accomplish is titanium softer than gold i need this ASAPPPP