{"id":244390,"date":"2025-07-05T05:55:30","date_gmt":"2025-07-05T05:55:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244390"},"modified":"2025-07-05T05:55:34","modified_gmt":"2025-07-05T05:55:34","slug":"how-many-fluid-ounces-of-pancake-syrup-d-1-78-g-ml-can-be-purchased-for-35-00giventhatthesyrupcosts1-05-per-pound","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/how-many-fluid-ounces-of-pancake-syrup-d-1-78-g-ml-can-be-purchased-for-35-00giventhatthesyrupcosts1-05-per-pound\/","title":{"rendered":"\u00a0How many fluid ounces of pancake syrup (d = 1.78 g\/mL) can be purchased for\u00a035.00,giventhatthesyrupcosts1.05 per pound"},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">&nbsp;How many fluid ounces of pancake syrup (d = 1.78 g\/mL) can be purchased for&nbsp;35.00,giventhatthesyrupcosts1.05 per pound<\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-168.png\" alt=\"\" class=\"wp-image-244391\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Here are the correct answers and a detailed explanation for each problem.<\/p>\n\n\n\n<p><strong>Answers:<\/strong><br>d) 287 fluid ounces<br>e) 33.5 m\/s<br>f) 2.03 x 10\u2076 meters<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p><strong>d) How many fluid ounces of pancake syrup can be purchased?<\/strong><\/p>\n\n\n\n<p>This problem requires a multi step conversion process. First, determine the mass of syrup you can buy. With $35.00 and a cost of $1.05 per pound, you can purchase $35.00 \/ $1.05\/lb = 33.33 pounds of syrup.<\/p>\n\n\n\n<p>Next, convert this mass into grams to use the density value. Knowing that 1 pound is approximately 453.59 grams, the mass is 33.33 lbs \u00d7 453.59 g\/lb \u2248 15118 g.<\/p>\n\n\n\n<p>Now, use the syrup&#8217;s density (d = 1.78 g\/mL) to find the volume. The formula is Volume = Mass \/ Density. So, the volume is 15118 g \/ 1.78 g\/mL \u2248 8493 mL.<\/p>\n\n\n\n<p>Finally, convert this volume from milliliters to fluid ounces. Since 1 fluid ounce is approximately 29.57 mL, the volume is 8493 mL \/ 29.57 mL\/fl oz \u2248 287.2 fl oz. Rounding to three significant figures (from 1.05 and 1.78), the final answer is&nbsp;<strong>287 fluid ounces<\/strong>.<\/p>\n\n\n\n<p><strong>e) Convert the speed limit into m\/s.<\/strong><\/p>\n\n\n\n<p>To convert 75.0 miles per hour to meters per second, you need to convert both the distance unit (miles to meters) and the time unit (hours to seconds). We use a method called dimensional analysis.<\/p>\n\n\n\n<p>First, let&#8217;s establish the conversion factors:<br>1 mile \u2248 1609.34 meters<br>1 hour = 3600 seconds<\/p>\n\n\n\n<p>Now, set up the calculation so the unwanted units cancel out:<br>(75.0 miles \/ 1 hour) \u00d7 (1609.34 meters \/ 1 mile) \u00d7 (1 hour \/ 3600 seconds)<\/p>\n\n\n\n<p>Multiplying the values gives:<br>(75.0 \u00d7 1609.34) \/ 3600 \u2248 33.5279 m\/s.<\/p>\n\n\n\n<p>The initial value, 75.0, has three significant figures, so the answer should also be rounded to three significant figures. This gives a final speed of&nbsp;<strong>33.5 m\/s<\/strong>.<\/p>\n\n\n\n<p><strong>f) How many meters will the projectile travel?<\/strong><\/p>\n\n\n\n<p>This problem asks for the total distance traveled in a given time. The projectile&#8217;s speed is 6.00 x 10\u00b3 feet per second, which is 6000 ft\/s. The time is 18.5 minutes.<\/p>\n\n\n\n<p>First, convert the time from minutes to seconds to match the units of the speed.<br>Time = 18.5 minutes \u00d7 60 seconds\/minute = 1110 seconds.<\/p>\n\n\n\n<p>Next, calculate the total distance traveled in feet using the formula: Distance = Speed \u00d7 Time.<br>Distance = 6000 ft\/s \u00d7 1110 s = 6,660,000 feet.<\/p>\n\n\n\n<p>Finally, convert this distance from feet to meters. The conversion factor is 1 meter \u2248 3.28084 feet.<br>Distance = 6,660,000 feet \/ 3.28084 ft\/m \u2248 2,030,000 meters.<\/p>\n\n\n\n<p>Both given values (6.00 x 10\u00b3 and 18.5) have three significant figures. Therefore, the answer should be expressed in scientific notation with three significant figures as\u00a0<strong>2.03 x 10\u2076 meters<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-445.jpeg\" alt=\"\" class=\"wp-image-244392\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;How many fluid ounces of pancake syrup (d = 1.78 g\/mL) can be purchased for&nbsp;35.00,giventhatthesyrupcosts1.05 per pound The Correct Answer and Explanation is: Here are the correct answers and a detailed explanation for each problem. Answers:d) 287 fluid ouncese) 33.5 m\/sf) 2.03 x 10\u2076 meters Explanation: d) How many fluid ounces of pancake syrup can [&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-244390","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244390","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=244390"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244390\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}