Does anyone know the answer?

The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s

kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0

2 years ago

Southwest Dry Cleaners believes that it will need new equipment in 7 years. The equipment will cost $26,000. What lump sum shoul

Sliva [168]

A=p(1+i/m)^mn
A=26,000÷(1+0.06÷2)^(2×7)
A=17,189.06

7 0

2 years ago

Read 2 more answers

Each person tries to balance his or her time between leisure and work. The tradeoff is that as you work less your income falls.

ludmilkaskok [199]

Answer:

.............gcg................

3 0

3 years ago

Jenna collected data modeling a company's company costs versus its profits. The data are shown in the table:

Zarrin [17]

Statement 3:

The function is increasing from x = 0 to x = 1 is the true statement.

Solution:

Statement 1: The function is decreasing from x= –2 to x = 1

At x = –2, the function value is 2.

At x = –1, the function value is –3.

At x = 0, the function value is 2.

At x = 1, the function value is 17.

So, the value of the function is not constantly decreasing or increasing.

Hence it is false statement.

Statement 2: The function is decreasing from x = –1 to x = 0

At x = –1, the function value is –3.

At x = 0, the function value is 2.

From –3 to 2, the value is increasing.

Hence it is false statement.

Statement 3: The function is increasing from x = 0 to x = 1

At x = 0, the function value is 2.

At x = 1, the function value is 17.

Hence it is true statement.

Statement 4: The function is decreasing from x = 0 to x = 1

It is already proved in statement 3.

Hence it is false statement.

Therefore, the function is increasing from x = 0 to x = 1 is the true statement.

3 0

3 years ago

These are the first four terms of a sequence. 3 -1 -5 -9. Find the nth term.

podryga [215]

Answer:

4n-1

Step-by-step explanation:

Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4

4n

find the closest numbers

4*1=4

4*0=0

4*-1=-4

4*-2=-8

now we figure out how to make these numbers into our terms of this sequence

4n-1

4*1-1=3

4*0-1=-1

4*-1-1=-3

4*-2-1=-9

so the nth term is 4n-1

4 0

1 year ago