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vlabodo [156]
3 years ago
13

Durante a distribuição de bombons para seus netos, vovó Cláudia percebeu que, se distribuísse 11

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0
<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>
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The length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively, which statement best describes (a-13
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Option A

The width of the rectangular prism is 13 units less than the length

<em><u>Solution:</u></em>

Given that, the length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively

From given question,

Length of rectangular prism = a

Width of rectangular prism = a - 13

Height of rectangular prism = a + 13

We have to find which statement best describes (a - 13)

From given (a - 13) means Width of rectangular prism

Therefore,

Width of rectangular prism = (a - 13)

We know that from given "a" denotes Length of rectangular prism

So we get,

Width of rectangular prism = (Length of rectangular prism - 13)

So the above expression means that width is 13 units less than length

So option A is correct. The width of the rectangular prism is 13 units less than the length

<em><u>Let us also analyse the options one by one</u></em>

<em><u>a.) the width of the rectangular prism is 13 units less than the length</u></em>

Which is written mathematically as,

width = length - 13 = a - 13

So this option is correct

<em><u>b. the height of the rectangular prism is 13 units more than the length</u></em>

Which is written mathematically as,

height = 13 + length = 13 + a

So this option does not describes (a - 13)

<em><u>c. the width of the rectangular prism is 13 units less than the height</u></em>

Which is written mathematically as,

width = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)

<em><u>d. the length of the rectangular prism is 13 units less than the height</u></em>

Which is written mathematically as,

length = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)

5 0
3 years ago
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