ユークリッドの互除法を使います。 (2)です。 なせaの最大公約数と最大公約数は一緒なのでしょうか？？？ちょっと書き込んでみたんですがよくわからないです💧 あとなぜn+3は2の倍数ではないのでしょうか？ 解説お願いします！！🙇‍♀️💦💦

54 ユークリッドの互除法 (1)95)と254) の最大公約数を求めよ.数が大きすぎますね (2) 2つの整数2n+30と+3の最大公約数が3となるような30以下の 自然数n をすべて求めよ. 解答〕 (1957 を 754 で割ると商が1で余りが 203 になる.次に, 754を203で割る.これ を続けると、 957-7541+203 754-203・3+145 203=145・1 + 58 145=58・2+29 58=29・2+0 よって, aとbの最大公約数をged (a, b) と表すと, gcd(957,754)=gcd(754,203) = gcd(203,145)= gcd(145,58)=gcd(58,29)=29 が成り立つから,957 と 754 の最大公約数は 58 と29の最大公約数と等しく, 29 これらの計算は、次のような筆算を使うと便利である 2 2 1 3 1 29) 58 145 203) 754) 957 145 609 754 58 116 0 29 58 145 203 (2) 2n+30 を n +3で割ると,商が2で余りが 24 となる. つまり, 2n+30=(n+3) ・2+24 が成り立っていて, ユークリッドの互除法より, gcd(2n+30,n+3)= gcd(n+3,24) である. よって, 条件から, 文系 数学の必勝ポイント gcd(n+3,24)=3 であるが,24=233 に注意すると, ① が成り立つ条件は, +3が3の倍数であり,かつ, 2の倍数でないこと である. 1≦n≦30より, 4≦n+3≦33であるから, ② を満たす整数 n +3は, n+3=9, 15, 21,27,33 n=6,12,18,24,30 解説講義 2つの正の整数a,b (a>b) に対して, a を6で割った余りを (0) とする. このとき, ( α ともの最大公約数) = (bとrの最大公約数) となる.このことを繰り返し用いることによって最大公約数を求めることをユークリッドの 互除法という. 最大公約数の求め方 (a>b>0とする) ・割と周の最大公約数 =宮園と金の最大数 αを6で割った余りをr(>0) とすると, 割れる数に割る数の十 1 (αとbの最大公約数) = (bとrの最大公約数) 7 良い 73

(21)の答えが3になるのがなんでか少し分からないです…わかる方いますか？？

(21) (22) (23) Any Change? Long ago, humans did not use money. Because they often could not produce everything that they needed, they traded some of their goods for goods made by others. Gradually, the goods that they exchanged were replaced by cash. For hundreds of years, metal coins and paper bills that can be exchanged for goods and services have been produced. Cash is convenient for many people because it is easy to carry. At the same time, though, it ( 21 ). Another disadvantage is that criminals have been able to produce fake coins and bills. In the middle of the 20th century, plastic credit cards were introduced. They had security features to prevent them from being used by anyone except their owners. At first, their use was limited to wealthy people. Over time, however, they became ( 22 ). In the last few years, apps for smartphones that can be used in the same way as credit cards have also become popular. Because of this, some people are suggesting that we may soon see the end of cash. Supporters of a "cashless" society in which all payments are made electronically argue that it would have several benefits. For example, people would not have to worry about keeping their wallets safe. However, some people are concerned that they might be unable to pay for the things they need because of a software error or a broken smartphone. Moreover, some people do not have bank accounts or credit cards, so their only option is to use coins and bills. ( 23 ), it seems as though societies will continue to use cash. 1 can be lost or stolen can be recycled 1 thinner and lighter 3 harder to use 1 For now 2 Until then 2 4 2 4 3 is used for shopping online is understood by almost everyone more colorful and exciting more widely available With luck 4 By contrast

BE smart grammarbookのレッスン11わかる方いますか？

いて説明する。 教科書 pp.7 き本がたくさんあえ すか) pp.200-2 る。会い 場合がある。 / timney .203-20 蛍した 由 2= 7 EXERCISES )内の語句を並べかえて意味の通る英文をつくり、全文を書きなさい。 1( (1) Do you have (talk / anything/about/to)? (2) That student's (communicate / ability / is / to) impressive. 不定詞② (形容詞用法 副詞用法) (3) Jim has (good friends / on / to / no / depend) in an emergency. (4) I don't have (her / to / the truth / the courage / tell).F ②2 日本語に合うように、( )に適語を入れなさい。 (1) 彼はテレビでサッカーの試合を見るために早起きをした。 He got up early ( ) ( (2) 私は学校に遅刻しないように急いだ。 I hurried in (261,6 ******* soin) be late for school. (3) 彼女はファッションモデルになるために, モデルスクールに通った。 She went to modeling school so (+) (+10))( (4) 彼女がひと休みをするために、私たちは立ち止まった。 STE- We stopped ( ) ( ) the soccer game on TV. ) (the) (m. ) a rest. 17 10 ) a fashion model. (1) 状況 会社の経営悪化に関し,かなり話し合ったが・･・。 There was (to / business / were / no / tell / way / how) could improve. .910M of baut (2) 状況 ある日のミーティングで,議長が開口一番に言ったのは･･･。 We have (to/about / a lot of topics / talk / in) today. TA b) ygged sd of A of 75 3③3 与えられた状況に合うように( )内の語句を並べかえ,全文を書きなさい。 ただし,不要な語 句が1つずつ含まれています。 MET Of AB (3) 状況 東京から横浜まで行くのに、忙しい私は普通列車ではなく･･･。 I used the Shinkansen (not/ waste / so / to / as / in) any time. alur oth bostagghnu of thin Mihei de 14THEOXOR JORG B 13F+ vidi + sus ad) STUDY thb bred duonilb HONRPALIO 4 [ ]内の語句を参考にして,~, …..に自由に語句を入れ, オリジナルの英文をつくりなさい。 AB althy go aniwa of anotogend ai il on ~1⑨ (1) 私は今日 ~すべき・･・ (事柄) がある。 [ have / to ] (NEXT+ [vit (2) 私は〜するために･･･(場所)へ行った。 [ go to ] ind ilusttib oot ai lood aint 19 53

VisionQuestの問題です お時間があれば日本語訳もお願いしたいです🙇‍♀️

Try it out! Thi 1 ( 内から適切な語を選んで、文を完成させましょう。 1. (Encouraged / Encouraging) by our teacher, I applied to a college in the U.S. 2. She has never been to Japan, but she speaks Japanese (fluent / fluently). 3. (Talk/Talking) with the international student, I found myself enjoying speaking English. 4. (Whether / Although) the exam was difficult, I did well on it. 5. He was proud (to / that) win the speech contest held last week. 6. (Unfortunate / Unfortunately ), our group lost the debate. 7. He was reading a newspaper with his legs ( crossing / crossed ).

わかりません

4. Fill in the blanks to describe the pictures. LIFE and SPIRITS That is the ( That is the house ( half years. 3 This ( ), ( 4 He was born in ( One More I went to )( ) ( ex where I ) changed her life. 999 TOKYO 1964 OW ) Soseki lived for about one and a ) is often featured on TV, serves excellent meals. ), ( ) the first Tokyo Olympics were held. (最近どこに行って何をした?) 79

(1)の問題について質問です。 学校では2枚目のような文が答えでした。 しかし私は3枚目のように書きました。 あってますか？ よろしくお願いします☀️

¹Animals can play various roles in supporting people, especially those with physical or mental difficulties. Some are service animals, which are trained to assist physically challenged people. ³Others, called emotional support animals (ESAs), comfort people with mental health disorders. Overwhelmed by stress or anxiety, these people may suddenly experience panic attacks. However, living with an ESA can relieve such stress, and can also be an alternative to medical care. "In some countries, even an animal such as a parrot or a hamster can be an ESA if the owner gets a document issued by a medical professional. Some ESAs, just like service animals, can ride with their owners on trains, buses, or planes. This means that the owners can travel freely and feel safer in public places. Thus, the companionship of ESAs gives people with mental challenges more opportunities to expand their world. 10 In this way, ESAS make society more inclusive. 4 5

写真のマーカーしてる部分が分かりません💦 Waitを適切な形にして( )に入れる、という問題です。 答えはwaitingなのですが、なぜ現在分詞にするのか理解できません。 解説には｢その女は、犬を店の外に待たせておいた。｣ と和訳されていたのですが、目的語の｢dog｣が... Read More

1) We are planning to go (niged ) next weekend. outside the shop. 2) The girl left her dog ( S V C 193) The man used a microphone to make himself (eniva). S

教えてください

Edwin (3) このスマートフォンは私のものの2倍の値段です。 ものの na This smartphone is ( ) ( ) ( 41 tuby glod bloos I smil bed i il morta blys Iti od bloow I vaged woH ) ( ) mine. 2 日本語の意味になるように, 英文を完成させなさい。 (1) GDP ved blou stw of 04 s been bad 111 that of Japan. bad enoqsow useloun 1 908l0 in an average year. TREBA LE SITE (3) ヴォルガ川はヨーロッパでいちばん長い川です。 avar bluool voy riw aredi nsed bar li The Volga isÉTNOŚCTAS Europe.SPBONT SI The GDP of China RODIT B (2) 今年の米の収穫量は平年より 20%多いようです。 This year's rice crop is expected to be 20% (4) 笛は世界最古の楽器 (musical instrument) のひとつです。 The flute is vlno ti in the (5) 彼は私たちのチームでまさに最高のピッチャーです。 gota of aolondost art ber ow del on our team. nolaiva bad bad I dels

黄色のマーカーで引っ張ってある部分の答えを教えて下さい。考えましたが、分かりませんでした。

Tisg sit ni pabllow becoins SHO 3 与えられた状況に合うように( )内の語句を並べかえ,全文を書きなさい。ただし、不要な語 句が1つずつ含まれています。 Two D (1) 状況 サッカーの試合終了後, グラウンドを去る選手のひとりが足を引きずっています。 That soccer player (have/ get/gotten / to / seems/ injured) during the game. MEL (2) 状況 過日の台風で雨漏りがひどくなったわが家を大工さんが見て言いました。 The roof of this (needs / fixed / to / house / be / fix).ppoate ter onsil (3)状況 2か月前に転校してきたダン。 今ではすっかりクラスに溶け込んでいるので・･･。 Dan (to / seems/along with/be/have/ getting) his classmates. (uni- tasbieris ed) mai 20 (4) 状況 バレー部の新キャプテン選び。 一番プレーがうまく信望があるのはアンです。 NUEL JE MOUTIE booysd We (chosen / Ann/choosing/ expect / to / captain / be / as) of our team. CE ni balastotal od) [ ]内の語を参考にして, 〜, ...に自由に語句を入れ, オリジナルの英文をつくりなさい。 C D

どこからどこまでが、何日の出来事か教えてください！ 8月6日から8月9日までの出来事だと思うので、日ごとに色分けしてマーカーを引くなどして頂けるとありがたいです！

On August 6, 1945, Yamaguchi Tsutomu got up happily. It was his last day in Hiroshima. He was going back the following day to his family and home office in Nagasaki. He had spent three months designing ships at a company in Hiroshima. On the last day of his assignment, he took a bus to the office, but he realized that he had forgotten his seal for stamping documents. He returned to the company house to get it and left again for the office, this time by train. When he was walking from the station to the office, he saw a bomber flying and then two white parachutes falling. Suddenly, there was a terrible "ball of fire," and he was knocked unconscious.