{"id":14597,"date":"2018-04-17T00:10:01","date_gmt":"2018-04-16T23:10:01","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14597"},"modified":"2022-01-09T21:57:56","modified_gmt":"2022-01-09T21:57:56","slug":"producao-diaria-de-ovos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14597","title":{"rendered":"Produ\u00e7\u00e3o di\u00e1ria de ovos"},"content":{"rendered":"<p><ul id='GTTabs_ul_14597' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14597' class='GTTabs_curr'><a  id=\"14597_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14597' ><a  id=\"14597_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_14597'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14598\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14598\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\" data-orig-size=\"405,403\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Ovos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\" class=\"alignright wp-image-14598\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-300x300.png\" alt=\"\" width=\"240\" height=\"239\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-300x300.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-160x160.png 160w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-320x320.png 320w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png 405w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Para se embalar a produ\u00e7\u00e3o di\u00e1ria de ovos da empresa Aves s\u00e3o necess\u00e1rias 120 caixas. Em cada caixa colocam-se duas d\u00fazias e meia de ovos.<\/p>\n<p>Quantas caixas s\u00e3o necess\u00e1rias para embalar a mesma produ\u00e7\u00e3o di\u00e1ria, se se usarem caixas de duas d\u00fazias de ovos?<br \/>\nMostra como chegaste \u00e0 tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14597' onClick='GTTabs_show(1,14597)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14597'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14598\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14598\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\" data-orig-size=\"405,403\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Ovos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png\" class=\"alignright wp-image-14598\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-300x300.png\" alt=\"\" width=\"240\" height=\"239\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-300x300.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-160x160.png 160w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5-320x320.png 320w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5.png 405w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>Para se embalar a produ\u00e7\u00e3o di\u00e1ria de ovos da empresa Aves s\u00e3o necess\u00e1rias 120 caixas. Em cada caixa colocam-se duas d\u00fazias e meia de ovos.<\/p>\n<p>\nQuantas caixas s\u00e3o necess\u00e1rias para embalar a mesma produ\u00e7\u00e3o di\u00e1ria, se se usarem caixas de duas d\u00fazias de ovos?<\/p>\n<\/blockquote>\n<p>\u00ad<\/p>\n<p>Tabelando os dados, temos:<\/p>\n<table class=\" aligncenter\" style=\"width: 60%;\">\n<tfoot>\n<tr>\n<td style=\"text-align: right;\">Produ\u00e7\u00e3o di\u00e1ria (em n\u00famero de ovos)<\/td>\n<td>\u00a03600<\/td>\n<td>\u00a03600<\/td>\n<\/tr>\n<\/tfoot>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">N\u00famero de caixas &#8211;\u00a0<strong>\\(n\\)<\/strong><\/td>\n<td>120<\/td>\n<td>?<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">Capacidade da caixa (em n\u00famero de ovos) &#8211;\u00a0<strong>\\(c\\)<\/strong><\/td>\n<td>30<\/td>\n<td>24<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>As grandezas <em>n<\/em> e <em>c<\/em> s\u00e3o inversamente proporcionais, pois\u00a0\\(n \\times c = 3600\\).<\/p>\n<p>Assim, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{n \\times 24 = 3600}&amp; \\Leftrightarrow &amp;{n = \\frac{{3600}}{{24}}}\\\\{}&amp; \\Leftrightarrow &amp;{n = 150}\\end{array}\\]<\/p>\n<p>Para embalar a produ\u00e7\u00e3o di\u00e1ria, s\u00e3o necess\u00e1rias 150 caixas, com a capacidade de duas d\u00fazias de ovos.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14597' onClick='GTTabs_show(0,14597)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Para se embalar a produ\u00e7\u00e3o di\u00e1ria de ovos da empresa Aves s\u00e3o necess\u00e1rias 120 caixas. Em cada caixa colocam-se duas d\u00fazias e meia de ovos. Quantas caixas s\u00e3o necess\u00e1rias para embalar&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14600,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14597","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-proporcionalidade-inversa-2"],"views":1834,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag102-5a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14597","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=14597"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14597\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14600"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14597"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}