{"id":23581,"date":"2025-06-17T17:34:39","date_gmt":"2025-06-17T17:34:39","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=23581"},"modified":"2025-06-17T17:34:41","modified_gmt":"2025-06-17T17:34:41","slug":"evaluate-5-t-3-when-t-12","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/evaluate-5-t-3-when-t-12\/","title":{"rendered":"evaluate 5 &#8211; t\/3 when t = 12"},"content":{"rendered":"\n<p>evaluate 5 &#8211; t\/3 when t = 12<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s evaluate the expression:<\/p>\n\n\n\n<p><strong>5 &#8211; t\/3<\/strong> when <strong>t = 12<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Substitute the value of t into the expression<\/h3>\n\n\n\n<p>The original expression is: 5\u2212t35 &#8211; \\frac{t}{3}<\/p>\n\n\n\n<p>Replace tt with 12: 5\u22121235 &#8211; \\frac{12}{3}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the division<\/h3>\n\n\n\n<p>Calculate 123\\frac{12}{3}: 123=4\\frac{12}{3} = 4<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Subtract<\/h3>\n\n\n\n<p>Now subtract 4 from 5: 5\u22124=15 &#8211; 4 = 1<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final answer:<\/h3>\n\n\n\n<p>1\\boxed{1}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>The given expression is a simple algebraic expression where you substitute a given value for a variable and then perform the arithmetic operations according to the order of operations (PEMDAS\/BODMAS).<\/p>\n\n\n\n<p>The expression is 5\u2212t35 &#8211; \\frac{t}{3}. It involves subtraction and division. When evaluating such expressions, the order of operations states that division must be done before subtraction.<\/p>\n\n\n\n<p>First, we replace the variable tt with the given number 12. This substitution changes the expression from 5\u2212t35 &#8211; \\frac{t}{3} to 5\u22121235 &#8211; \\frac{12}{3}.<\/p>\n\n\n\n<p>Next, perform the division 123\\frac{12}{3}. Dividing 12 by 3 equals 4. So now, the expression simplifies to 5\u221245 &#8211; 4.<\/p>\n\n\n\n<p>Finally, we subtract 4 from 5, which gives us 1.<\/p>\n\n\n\n<p>This process highlights an important algebraic skill: substituting variables with numbers and simplifying expressions step-by-step following the correct order of operations. This skill is foundational in algebra and is used across many areas of mathematics and applied sciences.<\/p>\n\n\n\n<p>Understanding how to evaluate expressions with variables allows solving equations, understanding formulas, and interpreting functions. It is critical for problem-solving in fields like physics, engineering, economics, and computer science.<\/p>\n\n\n\n<p>In summary, the evaluation of the expression 5\u2212t35 &#8211; \\frac{t}{3} for t=12t = 12 results in the value 1 after substituting and simplifying step-by-step correctly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>evaluate 5 &#8211; t\/3 when t = 12 The correct answer and explanation is: Let&#8217;s evaluate the expression: 5 &#8211; t\/3 when t = 12 Step 1: Substitute the value of t into the expression The original expression is: 5\u2212t35 &#8211; \\frac{t}{3} Replace tt with 12: 5\u22121235 &#8211; \\frac{12}{3} Step 2: Simplify the division Calculate [&hellip;]<\/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-23581","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23581","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=23581"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23581\/revisions"}],"predecessor-version":[{"id":23583,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23581\/revisions\/23583"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}