{"id":168871,"date":"2024-11-18T13:38:47","date_gmt":"2024-11-18T13:38:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168871"},"modified":"2024-11-18T13:38:51","modified_gmt":"2024-11-18T13:38:51","slug":"what-is-the-equation-that-shows-the-factor-labels-to-convert-75-grams-to-ounces","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/18\/what-is-the-equation-that-shows-the-factor-labels-to-convert-75-grams-to-ounces\/","title":{"rendered":"What is the equation that shows the factor labels to convert 75 grams to ounces"},"content":{"rendered":"\n

What is the equation that shows the factor labels to convert 75 grams to ounces?
a. 75 g \u00d7 0.03527 oz\/g
b. 75 g \u00f7 0.03527 oz\/g
c. 75 g \u00d7 0.0022 oz\/g
d. 75 g \u00f7 0.0022 oz\/g<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is a. 75 g \u00d7 0.03527 oz\/g<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To convert grams (g) to ounces (oz), you need a conversion factor that relates the two units. The conversion factor for grams to ounces is approximately 0.03527 ounces per gram (oz\/g)<\/strong>. This factor indicates that for every gram, there are 0.03527 ounces.<\/p>\n\n\n\n

The equation you need to use for the conversion is:<\/p>\n\n\n\n

[
75 \\, \\text{grams} \\times \\frac{0.03527 \\, \\text{oz}}{\\text{g}} = 75 \\times 0.03527 \\, \\text{oz}
]<\/p>\n\n\n\n

Step-by-step Breakdown:<\/h4>\n\n\n\n
    \n
  1. Identify the conversion factor:<\/strong>
    You need to know how many ounces are in one gram. From the metric system, the conversion factor is:
    [
    1 \\, \\text{gram} = 0.03527 \\, \\text{ounces}.
    ]<\/li>\n\n\n\n
  2. Set up the conversion equation:<\/strong>
    To convert grams into ounces, multiply the number of grams (75 g) by the conversion factor (0.03527 oz\/g):
    [
    75 \\, \\text{g} \\times \\frac{0.03527 \\, \\text{oz}}{\\text{g}} = 75 \\times 0.03527 \\, \\text{oz} = 2.64525 \\, \\text{oz}.
    ]<\/li>\n\n\n\n
  3. Result:<\/strong>
    When you multiply 75 grams by 0.03527 oz\/g, you get approximately 2.645 ounces<\/strong>.<\/li>\n<\/ol>\n\n\n\n

    Why the Other Options Are Incorrect:<\/h4>\n\n\n\n
      \n
    • Option b (75 g \u00f7 0.03527 oz\/g):<\/strong>
      Dividing by the conversion factor would be incorrect because you are trying to convert grams to ounces. You should multiply, not divide.<\/li>\n\n\n\n
    • Option c (75 g \u00d7 0.0022 oz\/g):<\/strong>
      This factor is incorrect. It seems to be a conversion factor for pounds to grams (since 1 pound is approximately 453.6 grams, and 1 ounce is 1\/16 of a pound, but the factor 0.0022 oz\/g is not used for grams to ounces conversion).<\/li>\n\n\n\n
    • Option d (75 g \u00f7 0.0022 oz\/g):<\/strong>
      Again, dividing by the conversion factor is incorrect for the same reason as option b, and the factor is not suitable for grams to ounces.<\/li>\n<\/ul>\n\n\n\n

      In conclusion, to convert grams to ounces, multiply by the correct conversion factor 0.03527 oz\/g<\/strong>. Thus, option a<\/strong> is the correct equation to use.<\/p>\n","protected":false},"excerpt":{"rendered":"

      What is the equation that shows the factor labels to convert 75 grams to ounces?a. 75 g \u00d7 0.03527 oz\/gb. 75 g \u00f7 0.03527 oz\/gc. 75 g \u00d7 0.0022 oz\/gd. 75 g \u00f7 0.0022 oz\/g The Correct Answer and Explanation is: The correct answer is a. 75 g \u00d7 0.03527 oz\/g. Explanation: To convert grams […]<\/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-168871","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168871","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=168871"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168871\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168871"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168871"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168871"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}