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Gnoma [55]
3 years ago
12

If 1 +2 is 21 and 2 + 3 is 36 what is 4 + 5

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0
4+5 would be 9 because you add 4 and 5
trasher [3.6K]3 years ago
3 0
<h2>Answer:</h2>

4+5=65

<h2>Step-by-step explanation: </h2><h3><u>First term: </u></h3>

Step 1: We need to add the numbers.

\Rightarrow 1+2=3

Step 2: We need to multiply the obtained number with ‘7’.

\Rightarrow 1+2=3 \times 7=21

Step 3: We need to add the obtained number with ‘0’.

\therefore 1+2=3 \times 7=21+0=21

<h3><u>Second term: </u></h3>

Step 1: We need to add the numbers.

\Rightarrow 2+3=5

Step 2: We need to multiply the obtained number with ‘7’.

\Rightarrow 2+3=5 \times 7=35

Step 3: We need to add the obtained number with ‘1’.

\therefore 2+3=5 \times 7=35+1=36

<h3><u>Thus, third term will: </u></h3>

Step 1: We need to add the numbers.

\Rightarrow 4+5=9

Step 2: We need to multiply the obtained number with ‘7’.

\Rightarrow 4+5=9 \times 7=63

Step 3: We need to add the obtained number with ‘2’.

\therefore 4+5=9 \times 7=63+2=65

Since, the options are not given, we can take the liberty to apply any method in this problem.

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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
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A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

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