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Com o objetivo de ensinar seus alunos a equacionar um problema usando uma equação do 1o

grau, um professor expôs a seguinte situação: Um recipiente está cheio de água. Retira-se 5/6 de seu conteúdo e recoloca-se 20 litros de água, passando o conteúdo a ocupar metade do volume inicial. A equação que representa essa situação é

Na escola em que João estuda, toda a comunidade conseguiu arrecadar 600 kg de doações para os desabrigados de uma enchente. No gráfico está apontado o ângulo central do setor correspondente a cada item.

A quantia correta coletada é

A função f(x) = −3x é representada no plano cartesiano por uma reta que

A representação gráfica da circunferência (x + 2)² + (y − 1)² = 5 intercepta os eixos coordenados em

Desde, pelo menos, a década de 1980, a China vem ganhando espaço no comércio mundial. No início do século XXI, ela até pode ser denominada a “oficina do mundo”, tamanha a participação dos produtos fabricados na China no comércio mundial. Dentre as razões para o sucesso desse país no comércio mundial, destaca-se

Attention: Read the text and answer questions 30 to 33.

Money issues aren't romantic, but they should be discussed before a wedding

By Carolyn Hax Hi, Carolyn: So, I am getting married in a few months and I've been struggling with a question: How much financial information should a couple share pre-wedding? Recently my fiancé told me that an old creditor started garnishing a portion of his paycheck. I was shocked that his finances were in such a bad state. He has always been private about money, but I didn't care much since I make my own living anyway. I'm just wondering if we need to write out all our debts and share them with each other before marriage. If so, how do I approach this topic? Anonymous You tell him the garnished paycheck surprised you, and you think it's important that both of you share full financial information − including credit scores − then fully discuss your philosophies and approaches to money. This is critical given not just his neglected debt, but also your casual attitude toward his being "private about money." If he won't share, don't marry. Seriously. And if he does share what amounts to a real mess, then postpone the wedding until he sorts himself out. This isn't about your ability to support yourself, though that helps. It's about the financial implications of the legal knot you're about to tie. Unromantic, sure, but losing a home/car, taking second or third jobs, never having a vacation and winding up in bankruptcy are all profoundly unromantic as well. (Adapted form http://www.washingtonpost.com/lifestyle/style/mone...)

In the sentence He has always been private about money, the Present Perfect is

Attention: Read the text and answer questions 34 to 40.

Our Plugged-in Summer

By BRUCE FEILER

I [TO SET OUT] to spend my summer vacation online. A few things conspired to give me the idea. The first was the insistent finger wagging one now encounters that the only way to spend quality time with one's children is to disengage from technology. The same day, my brother sent along a link for a new app (leafsnap) that allows users to identify trees by submitting photos of leaves. What a smart way to juice that nature walk, I thought. The next day I saw a Twitter message from Pierre Omidyar (@pierre), the eBay founder, in which he attached a photo and asked, "What is the name of this purple and white flower bush?" Seconds later he had his answer: lilac. Then my sister wrote to ask how she could identify the bird building a nest on her deck. "Take a picture and put it on Facebook," I said. "You'll have an answer within the hour." She bet me it wouldn't work, but within 19 minutes two friends had confirmed it was a Carolina wren. I concocted a scheme. During weekends this summer, I would pursue the opposite of an unplugged vacation: I would check screens whenever I could. Not in the service of work, but in the service of play. I would crowd-source new ideas for car games and YouTube my picnic recipes. I would test the prevailing wisdom that the Internet spoils all the fun. With back-to-school fast approaching, here's my report. For starters, the Web supplied an endless font of trivia and historical tidbits to enliven our days. I learned that a great debate still rages over who was the "Benedict" in eggs Benedict; that ancient mythologists believed fish were so afraid of the ospreys that they turned up their bellies in surrender; and that care packages like the one we sent my nephew at camp had their origins feeding starving Europeans in World War II. Online videos are another boon to summer. When my 6-year-old daughters were upset that we didn't awaken them at midnight to watch a brief light show on the Eiffel Tower, a quick trip to YouTube did the trick. My father used seaturtle.org to teach my girls how sea turtles emerge from the Atlantic near our home on Tybee Island, Ga., and lay eggs. Injured turtles are implanted with G.P.S. devices, allowing them to be tracked online. One surprising way that being plugged in improved our vacations was using newfangled resources to solve oldfangled problems. Bugs, for one. I used the Internet to find a home remedy for the slugs eating my begonias (broken eggshells). The Web also helped give us the feeling that we saw people more than we did. While it's fashionable to complain that we're overly connected, I still found an occasional, virtual interaction with a friend or family member to be as pleasant as running into them on the beach. I texted with my 12-year-old nephew about geocaching when we get together. My kids Skyped with my parents about learning to swim. And our devices were lifesavers when my daughter Tybee took a spill and had to be hurried to the hospital for stitches. A friend who took care of Tybee's twin, Eden, e-mailed us a photo of her noshing on pizza to assure us she was fine. When Tybee got nervous, the doctor asked her what movies she should download on her iPad for her son. And just before the procedure, I received a heartwarming text: "Dear Tybee, you are such a brave girl, love Eden."

(Adapted from http://www.nytimes.com/2011/08/14/fashion/this-lif...)

The underlined verb had, as used in the last paragraph, can be replaced, without any change in meaning, by

A água deionizada ou desmineralizada utilizada nos laboratórios é inadequada para o consumo humano porque

Uma reação com catalisador é mais rápida em relação à mesma reação sem catalisador porque

A neutralização de uma solução ácida pode ser realizada pela adição de materiais com propriedades alcalinas, como

Um automóvel percorre uma estrada plana e horizontal com velocidade constante de 100 km/h. Ao avistar um radar fotográfico a uma distância de 1 km, o motorista reduz uniformemente a velocidade do automóvel, que passa pelo radar a 80 km/h. O módulo da aceleração do automóvel durante o intervalo de tempo em que sua velocidade diminuiu de 100 km/h para 80 km/h, em m/s2, foi de aproximadamente,

Gotas de água pingam, a intervalos regulares de tempo, de uma torneira situada acima de um tanque com água. Em 10 s foram contadas 20 gotas. As ondas produzidas na água chegam à beira do tanque após percorrerem 1,8 m em 3,0 s. O comprimento de onda vale, em m,

Para superar ou reduzir as dificuldades de aprendizagem dos alunos, levando em conta a diversidade de crenças, ideias, níveis sociais, etnia e outras, o professor deve

O Conteúdo Básico Comum (CBD) de Física procura focalizar elementos considerados essenciais na formação cultural e científica, sugerindo uma abordagem mais fenomenológica no primeiro ano do Ensino Médio. Para tanto, os conteúdos foram organizados desenvolvendo o conceito de energia. Tal opção pode ser justificada pelo fato de energia ser um tema

O planejamento da organização do trabalho pedagógico envolve decisões sobre aspectos simples, porém fundamentais para a

construção de uma rotina de atividades que possa efetivamente contribuir para a aprendizagem dos alunos. Sendo assim, a

rotina planejada e realizada na escola deve ser

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