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:

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

He can make 11,250 five-course meals after this
Hello,
Shall we begin?
167,789
x 22
---------------
335578
+ 3355780
--------------
3,691,358
<span>Answers: 3,691,358</span>
We have the expression

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

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:

There is no value that can make both expressions equal.
Both equations have a difference of 1 for any value of x.
Vertical angles and they are congruent.
X+105=100
X= 100-105=-5
So x =-5