While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams ofprotein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood.Serving the following three items, how much of each should you serve to achieve your nutritional goals?Honey Nut Cheerios© nutritional data (per0.75 cup serving)Calories105Sugar9 gramsFat1.5 gramsCarbohydrates22 gramsProtein2 gramsQuaker Oatmeal© nutritional data (per 1packet serving)Calories170Sugar12 gramsFat2 gramsCarbohydrates32 gramsProtein4 gramsThe last piece of their meal is uncuredturkey bacon nutritional data (per 1 slice).Calories40Sugar0 gramsFat2 gramsCarbohydrates0 gramsProtein6 gramsYou have determined you should serveservings of cereal,servings of oatmeal, andservings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.

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Answered: While trying to create the perfect…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 65SE: The top three countries in oil consumption in a certain year are as follows: the United States,...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
Meat consumption in the United States can be broken into three categories: red meat, poultry, and fish. If fish makes up 4% less than one-quarter of poultry consumption, and red meat consumption is 18.2% higher than poultry consumption, what are the percentages of meat consumption?
The top three countries in oil consumption in a certain year are as follows: the United States, Japan, and China. In millions of barrels per day, the three top countries consumed 39.8% of the world's consumed oil. The United States consumed 0.7% more than four times China's consumption. The United States consumed 5% more than triple Japan's consumption. What percent of the world oil consumption did the United States, Japan, and China consume?[27]

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