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Aloiza [94]
2 years ago
5

Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be

Mathematics
1 answer:
aliina [53]2 years ago
8 0

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total books, n = 10
  • Books to arrange, r = 4

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

brainly.com/question/12468032

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1. Identify your variables using let statements.
Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
What is the difference? 4/3 - 7/9 a. - 1/2 b. -1/3 c. 5/9 d 11/12
ANTONII [103]

4/3-7/9

= (36-21) /27

= 15/27

= 5/9 which is C

5 0
3 years ago
Read 2 more answers
12-39&lt;9 AND -4x+3&lt;-6
Elenna [48]

Answer:

Hi how are you doing today Jasmine

6 0
2 years ago
The International Average Salary Income Database provides a comparison of average salaries for various professions. The data are
Tamiku [17]

Solution :

The monthly average salary and the standard deviation of the salaries of five different countries are provided. A person is interested in the relationship between the job performance, job satisfaction and the job compensation of the five different countries and try to compare them.

She calculated the z scores for accounting that makes $ ,500 per month as :

Country              z-score for salary $ 1,500

Brazil                       $\frac{1500-1351}{337.80} = 0.44$

US                          $\frac{1500-3370}{1011} = -1.85$

China                     $\frac{1500-165}{24.80} = 53.83$

Slovakia                 $\frac{1500-646}{96.80} = 8.82$

Kuwait                    $\frac{1500-2697}{808.20} = -1.48$

From above it is clear that an account from China getting  z score of 53.83 will ne more pleased than other countries because the salary of $1,500 in one month for this particular country corresponds to the highest z score.

7 0
2 years ago
Math question help me
Rufina [12.5K]

Answer:

the 4th one

Step-by-step explanation:

i'm pretty sure that's right

 

5 0
2 years ago
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