<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:
For this exercise it is necessary to remember that the area of a circle can be calculated with the following formula:
Where "A" is the area of the circle and "r" is the radius of the circle.
In this case, based on the information given in the exercise, you know that the circular plate has the following radius:
Therefore, knowing the radius, you can substitute them into the formula and finally, you must evaluate in order to calculate the area of the plate (Remember that you must use 3.14 for ).
Then, you get that this is:
A single yard is equivalent to 3 feet. With this information, we find that 2 yards are equal to 6 feet.
A 6 feet piece of copper wire costs $69.60. Divide the total price by the amount of feet to find the price per foot.
The price per foot is $11.60. Let me know if you need any clarifications, thanks!
~ Padoru
On comparing with the equation, the value of B is 3.
The correct option is B.
Given
Tyrone factored the polynomial completely.
<h3>Factorization;</h3>
Factorization is nothing but writing a number as the product of smaller numbers.
The factors of the polynomial are;
On comparing with the equation;
Hence, the value of B is 3.
To know more about factorization click the link given below.
brainly.com/question/17595467