<span>During the distribution of bonbons to her grandchildren, Grandma Claudia realized that if she distributed 11
chocolates for each of them, 10 candies would remain. In the meantime, distribute 13 chocolates
each of his grandchildren, would lack 6.
Based on this information, it is CORRECT to state that the difference between the number of candies
and the number of grandchildren is
A) 90.
B) 30.
C) -90.
D) -30.
Let n=number of candies,
and c=number of grandchildren
The story expressed in modulo gives the two following equations:
then
mod(n,11)=10 (ten left if each given 11).............(1)
mod(n,13)=-6, or
mod(n,13)=7 (7 left if each given 13)
By enumerating (1), we have
10,21,32,43,54,65,76,87,98,109...
=> 8*11+10=98
By enumerating (2), we have
7,20,33,46,59,72,85,98,101...
=> 8*13-6=98
Hence there are 8 grandchildren and 98 candies.
The difference of the number of candies and the number of grandchildren is therefore 98-8=90.
Another way to get the number of grandchildren is
c=(10-(-6))/(13-11)=8
</span>
Answer:

Step-by-step explanation:

we have to move 5 in the other side with a different sign, to get a 2 grade ecuation

now we know
a=2
b=9
c=-5
we have to find delta

and now we have to use the formula to find the root square



Answer:
Each one of the sides is equal to 7d-5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length.
The perimeter of a regular pentagon is given by
P = 5s where s is the side length
35d -25 = 5s
Divide each side by 5
(35d-25)/5 = 5s/5
7d-5 =s
Each one of the sides is equal to 7d-5
9(-2) + 8(3) + 1 - 6(-2) - 5(3) - 6
-18 + 24 + 1 + 12 - 15 - 6
= -2