Solve for x. 40= x\/(-4\/7)<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve for (x) in the equation:<\/p>\n\n\n\n [ Follow these steps:<\/p>\n\n\n\n The equation is:<\/p>\n\n\n\n [ This means that 40 is equal to (x) divided by (-\\frac{4}{7}). To solve for (x), we need to isolate (x) on one side of the equation.<\/p>\n\n\n\n To eliminate the fraction in the denominator, we multiply both sides of the equation by (-\\frac{4}{7}). This will cancel out the denominator on the right-hand side. Here’s how:<\/p>\n\n\n\n [ The (-\\frac{4}{7}) on the right side cancels out, leaving just (x), and on the left side, we have:<\/p>\n\n\n\n [ Now, perform the multiplication:<\/p>\n\n\n\n [ The result is:<\/p>\n\n\n\n [ This is the exact value of (x), and it can be left as a fraction. However, if we want a decimal approximation, we divide (-160) by 7:<\/p>\n\n\n\n [ The solution to the equation is:<\/p>\n\n\n\n [ This is a straightforward algebraic equation that involves a fraction. To solve it, we utilized the property that dividing by a fraction is equivalent to multiplying by its reciprocal. This method of multiplying both sides of the equation by the reciprocal of (-\\frac{4}{7}) isolates (x), leading to the solution.<\/p>\n","protected":false},"excerpt":{"rendered":" Solve for x. 40= x\/(-4\/7) The Correct Answer and Explanation is: To solve for (x) in the equation: [40 = \\frac{x}{-\\frac{4}{7}}] Follow these steps: Step 1: Understand the equation The equation is: [40 = \\frac{x}{-\\frac{4}{7}}] This means that 40 is equal to (x) divided by (-\\frac{4}{7}). To solve for (x), we need to isolate (x) […]<\/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-168519","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168519","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=168519"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168519\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168519"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
40 = \\frac{x}{-\\frac{4}{7}}
]<\/p>\n\n\n\nStep 1: Understand the equation<\/h3>\n\n\n\n
40 = \\frac{x}{-\\frac{4}{7}}
]<\/p>\n\n\n\nStep 2: Eliminate the denominator<\/h3>\n\n\n\n
40 \\times \\left(-\\frac{4}{7}\\right) = \\frac{x}{-\\frac{4}{7}} \\times \\left(-\\frac{4}{7}\\right)
]<\/p>\n\n\n\n
x = 40 \\times \\left(-\\frac{4}{7}\\right)
]<\/p>\n\n\n\nStep 3: Multiply the terms<\/h3>\n\n\n\n
40 \\times \\left(-\\frac{4}{7}\\right) = \\frac{40 \\times -4}{7} = \\frac{-160}{7}
]<\/p>\n\n\n\nStep 4: Simplify the result<\/h3>\n\n\n\n
x = \\frac{-160}{7}
]<\/p>\n\n\n\n
x \\approx -22.86
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
x = \\frac{-160}{7} \\quad \\text{or approximately} \\quad x \\approx -22.86
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n