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Furkat [3]
2 years ago
11

A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.

Mathematics
1 answer:
dimaraw [331]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books =  mass of bookcase

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Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper ba
Scilla [17]

Answer:

The mean no. of red cubes is more than the median no. of red cubes.

Step-by-step explanation:

According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).

No. of red cubes           No. of bags           (x_{i}f_{i})

 (x_{i})                                        (f_{i})

    0                                     2                             0

     1                                     0                             0

     2                                    2                             4

     3                                     1                             3

     4                                     1                             4

     5                                     0                            0

     6                                     1                              6

     7                                      2                           14

      8                                     1                             8

      9                                     0                            0

    10                                      0                            0

 Total                                 10                            39

Now, no. of bags containing no. of red cubes  above 10   is  0   [since there are as a whole 10 bags only]

       

So, from  the table we  get that  mean no, of red cubes in each bag

  = \frac {\sum_{i =1}^{10}x_{i}f_{i}}{\sum_{i=1}^{10}f_{i}}

  =  39/10 = 3.9

Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3

= (2 + 2 + 1) = 5

and, no. of bags with no. of red cubes  ≥ 4

= (1 + 1 + 2 + 1) = 5

Also there are 1 bag each for no. of red cubes = 3 and 4

So. median no. of red cubes = (3 + 4)/2 = 3.5

So, we get that the mean no. of red cubes is more than the median no. of red cubes.

5 0
3 years ago
Read 2 more answers
Find y.<br> 30<br> 20 <br> Need help asap
Neporo4naja [7]

Answer:

y = 10

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{y}{20} = \frac{1}{2} ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

7 0
2 years ago
In AHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ZH to the nearest degree.
Paraphin [41]

Answer:

38°

Step-by-step explanation:

Delta math

7 0
2 years ago
Please help and hurry please
kakasveta [241]

Answer:

x=7.48

Step-by-step explanation:

13^2+x^2=15^2

169+x^2=225

x^2=56

x=7.48

6 0
2 years ago
Read 2 more answers
A building is 509 ft tall each floor is about 14 feet tall about how many floors does the Building have
Minchanka [31]
509 ÷ 13 = 36.36 
There are about 36 floors.

Answer: 36 floors.
5 0
3 years ago
Read 2 more answers
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