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2 years ago

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.

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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

raketka [301]

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2 years ago

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First answer gets branliyist Who is Piper Rochelle

finlep [7]

Answer:

14 year old you tuber

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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

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3 years ago

After allowing 20% discount on the marked price with 13%

saveliy_v [14]

Answer:

The marked price of the article is 22,600

Explanation: 

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