Solve the equation for C variable! r-C=P<\/p>\n\n\n\n
The Correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: C=r\u2212P<\/strong><\/mark><\/p>\n\n\n\n To solve the equation ( r – C = P ) for the variable ( C ), we can follow these steps:<\/p>\n\n\n\n To isolate ( C ), we need to rearrange the equation. We can do this by moving ( C ) to one side and the other terms to the opposite side. The original equation is:<\/p>\n\n\n\n [ To eliminate ( -C ) from the left side, we add ( C ) to both sides:<\/p>\n\n\n\n [ Now, we need to isolate ( C ). We do this by subtracting ( P ) from both sides:<\/p>\n\n\n\n [ Thus, the solution for ( C ) is:<\/p>\n\n\n\n [ In this equation, ( r ), ( C ), and ( P ) can represent any quantities, such as rates, costs, or other numerical values depending on the context. The goal was to isolate ( C ) to understand how it relates to ( r ) and ( P ).<\/p>\n\n\n\n Mathematical Manipulation<\/strong>: The process involved basic algebraic manipulation, specifically the use of addition and subtraction to rearrange the terms. This is fundamental in algebra as it allows us to express one variable in terms of others. Such manipulation is crucial in various fields, including physics, finance, and engineering, where relationships between variables need to be understood and calculated.<\/p>\n\n\n\n Practical Application<\/strong>: Understanding how to isolate variables can help in solving real-world problems. For instance, if ( r ) represents total revenue, ( C ) represents costs, and ( P ) represents profit, the rearranged formula ( C = r – P ) shows how to determine costs based on revenue and profit. This knowledge is essential in budgeting, forecasting, and decision-making in business and economics.<\/p>\n\n\n\n In conclusion, the equation ( r – C = P ) rearranged to ( C = r – P ) allows for a better understanding of the relationship between these variables.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve the equation for C variable! r-C=P The Correct answer and Explanation is : The correct answer is: C=r\u2212P To solve the equation ( r – C = P ) for the variable ( C ), we can follow these steps: Step 1: Isolate ( C ) To isolate ( C ), we need to […]<\/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-149832","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149832","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=149832"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149832\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149832"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149832"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149832"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Isolate ( C )<\/h3>\n\n\n\n
r – C = P
]<\/p>\n\n\n\nStep 2: Add ( C ) to both sides<\/h3>\n\n\n\n
r = P + C
]<\/p>\n\n\n\nStep 3: Subtract ( P ) from both sides<\/h3>\n\n\n\n
r – P = C
]<\/p>\n\n\n\nFinal Solution<\/h3>\n\n\n\n
C = r – P
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n