Which of the following is the cube root of -64/243

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

3 years ago

Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants

sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

7 0

4 years ago

Read 2 more answers

What is the range of the function of the graph

Alex_Xolod [135]

Answer : Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

GOOD LUCK

5 0

3 years ago

Write the ratio 10:18 as a fraction in simplest form.

Ira Lisetskai [31]

Answer:

5/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.

10 ÷ 218 ÷ 2.

Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.

6 0