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solong [7]
3 years ago
10

the distance around tims rectangulr book is 48 centimeters the length of each longer side is 14 cm what is the length of each sh

orter side show your work for grade 2
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0

let the length of each shorter side be x

length of longer side= x+14

2(x+14) + 2x = 48

2x + 28 + 2x = 48

4x + 28 = 48

4x = 48-28

4x = 20

x = 5

shorter side = 5cm

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25

Step-by-step explanation:

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Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
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Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

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E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

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Thus, the answer to "What is 36 mod 13?" is 10

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13 / 13 = 1

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97 / 13 = 7.46154

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So, C = 6

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-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

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Answer:

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