{"id":14746,"date":"2018-04-22T10:19:20","date_gmt":"2018-04-22T09:19:20","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14746"},"modified":"2022-01-09T23:17:04","modified_gmt":"2022-01-09T23:17:04","slug":"uma-festa-num-recinto-fechado","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14746","title":{"rendered":"Uma festa num recinto fechado"},"content":{"rendered":"<p><ul id='GTTabs_ul_14746' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14746' class='GTTabs_curr'><a  id=\"14746_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14746' ><a  id=\"14746_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_14746'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Uma Associa\u00e7\u00e3o de Estudantes vai organizar uma festa num recinto fechado e resolveu, por quest\u00f5es de seguran\u00e7a, que o n\u00famero de bilhetes a imprimir deveria ser menos 20% do que o n\u00famero m\u00e1ximo de pessoas que cabem no recinto.<\/p>\n<ol>\n<li>A Associa\u00e7\u00e3o de Estudantes decidiu organizar a festa no gin\u00e1sio da escola onde cabem, no m\u00e1ximo, 300 pessoas.\u00a0Quantos bilhetes deve a Associa\u00e7\u00e3o de Estudantes mandar imprimir?<br \/>\nApresenta os c\u00e1lculos que efetuares.<\/li>\n<li>Sendo <em>n<\/em> o n\u00famero m\u00e1ximo de pessoas que cabem num recinto fechado, qual das seguintes express\u00f5es permite \u00e0 Associa\u00e7\u00e3o de Estudantes calcular o n\u00famero de bilhetes a imprimir?<br \/>\n[<strong>A<\/strong>] \\(n &#8211; 0,8\\)\u00a0 \u00a0 \u00a0 [<strong>B<\/strong>] \\(n \\times 0,2\\)\u00a0 \u00a0 \u00a0 [<strong>C<\/strong>] \\(n &#8211; 0,2\\)\u00a0 \u00a0 \u00a0 [<strong>D<\/strong>]\u00a0\\(n \\times 0,8\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14746' onClick='GTTabs_show(1,14746)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14746'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>O n\u00famero de bilhetes a imprimir, <em>b<\/em>, deveria ser menos 20% do que o n\u00famero m\u00e1ximo de pessoas que cabem no recinto, isto \u00e9,\u00a0\\(b = n &#8211; 20\\% \\times n\\).<br \/>\nOra, como\u00a0\\(n = 300\\), vem:\u00a0\\(b = 300 &#8211; 20\\% \\times 300 = 300 &#8211; 0,2 \\times 300 = 300 &#8211; 60 = 240\\).<br \/>\nPortanto, a Associa\u00e7\u00e3o de Estudantes deve mandar imprimir 240 bilhetes.<br \/>\n\u00ad<\/li>\n<li>Como\u00a0\\(b = n &#8211; 20\\% \\times n = n \\times \\left( {1 &#8211; 20\\% } \\right) = n \\times 80\\% = 0,8 \\times n\\), ent\u00e3o a alternativa correta \u00e9 a D.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14746' onClick='GTTabs_show(0,14746)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma Associa\u00e7\u00e3o de Estudantes vai organizar uma festa num recinto fechado e resolveu, por quest\u00f5es de seguran\u00e7a, que o n\u00famero de bilhetes a imprimir deveria ser menos 20% do que o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14111,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,502,497],"series":[],"class_list":["post-14746","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-percentagem","tag-proporcionalidade-direta"],"views":1969,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat53.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14746","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14746"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14746\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14111"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14746"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14746"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14746"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14746"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}