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Sladkaya [172]
3 years ago
14

I NEED HELP ASPA

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
There is 248 freshman enrolled
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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
A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy
matrenka [14]

Answer:

the answer is 6

Step-by-step explanation:

3 times 2 equals 6

5 0
3 years ago
How do you write 3 15/44 as a decimal ??
Gnesinka [82]

Answer: 3.34 or 3.34090909

Step-by-step explanation: put 15 divided by 44 in your calculator. Yous should get 0.34090909 , then put your original 3 in front of that. Round your number if that is required.

4 0
3 years ago
Two and three fourths plu one and three eight
crimeas [40]
2 3/4 + 1 3/8 = 4.125 and there is your answer
6 0
3 years ago
Read 2 more answers
Five snails are having a race. The snail's speeds are given in the table. Which two snails are going the same rate of speed?
skad [1K]

Answer:

2 1/5 for alice

4 3/14 for Bert

5 for Carl

5 for Eva

5 1/2 for Dennis

Carl and Eva

Step-by-step explanation:

brainliest please

7 0
2 years ago
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