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nordsb [41]
3 years ago
9

Please give the explanation and the answer

Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
Can you solve this question for me?
krek1111 [17]

y+2 = 3x

subtract 2 from each side

y = 3x-2

4 0
3 years ago
Read 2 more answers
Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?
spin [16.1K]

Answer:

29.64

Step-by-step explanation:

First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.

4 0
2 years ago
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HELP ME PLS!!! help me if you see this pls.
Alex Ar [27]
I think it would be A because if you multiply the square by a 30 thinking there all the same space between it will give u 120 square yards
5 0
3 years ago
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HELP ME PLEASE !!!!!!!!
fredd [130]

Answer:

AB = 14

DE =7

Step-by-step explanation:

Remark

<em>AB</em>

Opposite sides of a parallelogram are equal.

AB = CD

AB = 14

<em>DE</em>

According to the diagram AE = 19

AD = 26 which is the same size as BC

DE = 26 - 19 = 7

DE = 7

4 0
3 years ago
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