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Cerrena [4.2K]
3 years ago
10

Divide 3,479 by 9. What is the remainder?

Mathematics
1 answer:
maxonik [38]3 years ago
4 0
5/9 is the remainder
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Renowned French chef Pierre Blaireau is planning a five-course meal for his restaurant’s guests. His different choices include 1
Galina-37 [17]

Answer:

He can make 11,250 five-course meals after this

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this problem:

The options are:

10 light appetizers

12 salads

5 small entrees

7 dishes

5 desserts

He throws away

3 salads

2 kinds of dishes

So he will choose

One light appetizer, from a set of 10

One salad, from a set of 9

One entree, from a set of 5

One dish, from a set of 5

One dessret, from a set of 5.

So

T = P_{(10,1)} \times P_{(9,1)} \times P_{(5,1)} \times P_{(5,1)} \times P_{(5,1)} = \frac{10!}{(10-1)!} \times \frac{9!}{(9-1)!} \times \frac{5!}{(5-1)!} \times \frac{5!}{(5-1)!} \times \frac{5!}{(5-1)!} = 11250

He can make 11,250 five-course meals after this

3 0
4 years ago
What is 22 multiplied by 167,789
MArishka [77]
Hello,

Shall we begin?

     167,789
x            22
---------------
     335578 
+ 3355780
--------------
 3,691,358
 

<span>Answers: 3,691,358</span>
6 0
3 years ago
You have used the Distributive Property totransform numerical expressions such as (5)(3) +(2)(3) to (5 + 2)(3). How would you tr
barxatty [35]

We have the expression

5x+2x

We have to convert the expression in a single-term expression. We apply the distributive property:

5x+2x=(5+2)\cdot x=7x

b) We have to substitute five different values into the expressions 5x+2x and 7x-1.

The first expression is equal to 5x+2x=7x.

We then can predict that the difference between 7x and 7x-1 is 1.

For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.

We can calculate if the two expressions can be equal, we write:

\begin{gathered} 5x+2x=7x=7x-1 \\ 7x=7x-1 \\ 7x-7x=-1 \\ 0=-1\longrightarrow\text{False} \end{gathered}

There is no value that can make both expressions equal.

Both equations have a difference of 1 for any value of x.

8 0
1 year ago
Does anyone know what this is called? Thanks
Greeley [361]
Vertical angles and they are congruent.
X+105=100
X= 100-105=-5

So x =-5
5 0
3 years ago
The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of
diamong [38]

Answer:

For this one, your answer will be

4\sqrt{3} \\and\\8

7 0
3 years ago
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