How many pairs of Whole numbers have a sum of 40<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To find how many pairs of whole numbers have a sum of 40<\/strong>, we need to understand a few key points:<\/p>\n\n\n\n Whole numbers are non-negative integers<\/strong>, meaning they include 0, 1, 2, 3, …<\/strong> (but not<\/strong> negative numbers or decimals).<\/p>\n\n\n\n When we are asked how many pairs of whole numbers have a sum of 40<\/strong>, we are looking for all combinations of two whole numbers We can approach this by choosing values for So, for each value of This gives us: 41 pairs in total41 \\text{ pairs in total}<\/p>\n\n\n\n These include both ordered pairs like If the question had asked for unordered<\/strong> pairs (meaning (a, b) is the same as (b, a)), we would count only unique combinations<\/strong> without repetition. In that case, we\u2019d count pairs like: (0,40),(1,39),(2,38),\u2026,(20,20)(0, 40), (1, 39), (2, 38), \\dots, (20, 20)<\/p>\n\n\n\n That would give 21<\/strong> unique unordered pairs.<\/p>\n\n\n\n But since the question doesn’t specify ordered or unordered<\/strong>, and asks simply for \u201chow many pairs,\u201d we assume ordered pairs of whole numbers.<\/p>\n\n\n\n How many pairs of Whole numbers have a sum of 40 The correct answer and explanation is: To find how many pairs of whole numbers have a sum of 40, we need to understand a few key points: \u2705 Correct Answer: 41 pairs \ud83d\udd0d Explanation (300 words): Whole numbers are non-negative integers, meaning they include […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-20574","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=20574"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20574\/revisions"}],"predecessor-version":[{"id":20575,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20574\/revisions\/20575"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n\u2705 Correct Answer: 41 pairs<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd0d Explanation (300 words):<\/strong><\/h3>\n\n\n\n
(a, b)<\/code> such that: a+b=40anda,b\u2208W (whole numbers)a + b = 40 \\quad \\text{and} \\quad a, b \\in \\mathbb{W} \\text{ (whole numbers)}<\/p>\n\n\n\na<\/code> from 0 to 40<\/strong> and finding the corresponding b<\/code>:<\/p>\n\n\n\n\n
a = 0<\/code>, then b = 40<\/code><\/li>\n\n\n\na = 1<\/code>, then b = 39<\/code><\/li>\n\n\n\na = 2<\/code>, then b = 38<\/code><\/li>\n\n\n\na = 40<\/code>, then b = 0<\/code><\/li>\n<\/ul>\n\n\n\na<\/code> from 0 to 40<\/strong>, there is exactly one<\/strong> corresponding value of b<\/code> such that a + b = 40<\/code>.<\/p>\n\n\n\n(0, 40)<\/code> and (40, 0)<\/code> \u2014 they are considered different unless specified otherwise<\/strong>.<\/p>\n\n\n\n
\n\n\n\n\u2705 Final Answer: 41 pairs<\/strong> of whole numbers have a sum of 40.<\/h3>\n","protected":false},"excerpt":{"rendered":"