{"id":215687,"date":"2025-05-17T14:04:36","date_gmt":"2025-05-17T14:04:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=215687"},"modified":"2025-05-17T14:04:38","modified_gmt":"2025-05-17T14:04:38","slug":"supervisor-last-week-you-spoke-with-800-customers-in-40-hours","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/17\/supervisor-last-week-you-spoke-with-800-customers-in-40-hours\/","title":{"rendered":"supervisor: &#8220;Last week, you spoke with 800 customers in 40 hours"},"content":{"rendered":"\n<p>supervisor: &#8220;Last week, you spoke with 800 customers in 40 hours.&#8221; employee: &#8220;That is an average of customers every 30 minutes.&#8221;<\/p>\n\n\n\n<p>A. 5<br>B. 10<br>C. 15<br>D. 20<br>E. 25<\/p>\n\n\n\n<p>how do you write 0.3 repeating as a fraction<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\"><\/ol>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Question 1:<\/strong><\/h3>\n\n\n\n<p><strong>Supervisor:<\/strong> &#8220;Last week, you spoke with 800 customers in 40 hours.&#8221;<br><strong>Employee:<\/strong> &#8220;That is an average of ____ customers every 30 minutes.&#8221;<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step-by-step solution:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, determine the number of <strong>30-minute intervals<\/strong> in <strong>40 hours<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Since 1 hour = 60 minutes,<br>40 hours = 40 \u00d7 60 = <strong>2,400 minutes<\/strong><br>Each 30-minute interval = 30 minutes<br>Number of 30-minute intervals = 2,400 \u00f7 30 = <strong>80<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Now divide the total number of customers (800) by the number of 30-minute intervals (80):<\/li>\n<\/ul>\n\n\n\n<p>800&nbsp;customers80&nbsp;intervals=10&nbsp;customers&nbsp;per&nbsp;30&nbsp;minutes\\frac{800\\ \\text{customers}}{80\\ \\text{intervals}} = 10\\ \\text{customers per 30 minutes}<\/p>\n\n\n\n<p>\u2705 <strong>Correct answer: B. 10<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Question 2:<\/strong><\/h3>\n\n\n\n<p><strong>How do you write 0.3 repeating as a fraction?<\/strong><\/p>\n\n\n\n<p>\u2705 <strong>Correct answer: 1\/3<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>300-word Explanation:<\/strong><\/h3>\n\n\n\n<p>To convert <strong>0.3 repeating<\/strong> (which is written as 0.3\u203e0.\\overline{3}) to a fraction, follow a simple algebraic method:<\/p>\n\n\n\n<p>Let: x=0.3\u203ex = 0.\\overline{3}<\/p>\n\n\n\n<p>This means that the decimal repeats indefinitely: x=0.3333\u2026x = 0.3333\\ldots<\/p>\n\n\n\n<p>Now, multiply both sides of the equation by 10: 10x=3.3333\u202610x = 3.3333\\ldots<\/p>\n\n\n\n<p>Next, subtract the original equation from this new equation: 10x\u2212x=3.3333\u2026\u22120.3333\u202610x &#8211; x = 3.3333\\ldots &#8211; 0.3333\\ldots<\/p>\n\n\n\n<p>This gives: 9x=39x = 3<\/p>\n\n\n\n<p>Now solve for xx: x=39=13x = \\frac{3}{9} = \\frac{1}{3}<\/p>\n\n\n\n<p>So, 0.3\u203e=130.\\overline{3} = \\frac{1}{3}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Works:<\/h3>\n\n\n\n<p>Repeating decimals are infinite, but they follow a consistent pattern. When the same digit repeats (like 3 in this case), we can isolate and remove the repetition by multiplying by powers of 10. By subtracting the two equations, the repeating parts cancel out, leaving a clean whole number that can be solved algebraically.<\/p>\n\n\n\n<p>This approach works for any repeating decimal. For example, 0.6\u203e=230.\\overline{6} = \\frac{2}{3}, and 0.1\u203e=190.\\overline{1} = \\frac{1}{9}. It\u2019s an essential concept in mathematics because it shows how every repeating decimal has a fractional equivalent \u2014 proving that repeating decimals are <strong>rational numbers<\/strong>.<\/p>\n\n\n\n<p>Understanding how to convert repeating decimals into fractions is especially helpful in fields like nursing, science, and finance, where precise values and conversions are required.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>supervisor: &#8220;Last week, you spoke with 800 customers in 40 hours.&#8221; employee: &#8220;That is an average of customers every 30 minutes.&#8221; A. 5B. 10C. 15D. 20E. 25 how do you write 0.3 repeating as a fraction The Correct Answer and Explanation is: Question 1: Supervisor: &#8220;Last week, you spoke with 800 customers in 40 hours.&#8221;Employee: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-215687","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/215687","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=215687"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/215687\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=215687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=215687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=215687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}