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motikmotik
2 years ago
15

Trisha had a bowling score of 126 for the first game. She had a score of 97 for the second game.

Mathematics
1 answer:
NeTakaya2 years ago
3 0

Answer:

23% decrease

Step-by-step explanation:

:)

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Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
YOOO YOOO BADDIES ANSWER THESE QUESTION NOWWW Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet lo
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Step-by-step explanation:

6 0
2 years ago
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First answer gets branliyist <br> Who is Piper Rochelle
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Step-by-step explanation:

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2 years ago
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Find the probability of answering the first three multiple choice questions correctly
alisha [4.7K]
1/12 if each Question is A-D
4 0
3 years ago
After allowing 20% discount on the marked price with 13%
saveliy_v [14]

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is  

\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)

Discount D = 20%

Substituting the given values

SP = \mathrm{MP}\left(1-\frac{20}{100}\right)

18080 = \mathrm{MP}\left(1-\frac{1}{5}\right)

18080=\mathrm{MP}\left(\frac{4}{5}\right)

\mathrm{MP}=\frac{18080 \times 5}{4}

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

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3 years ago
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