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timer Asked: Feb 8th, 2019
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To show your work, clearly identify each step in your problem-solving process demonstrating your progress at each stage.

Clearly identify your final answer.

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ASSIGNMENT 4 C17 College Mathematics Directions: Answer each question in the handout and show all your work. Use Microsoft Equation Editor or a similar tool to help you insert mathematical equations and symbols in your response. For further assistance, download the Microsoft Equation Editor Information document. To show your work, clearly identify each step in your problem-solving process demonstrating your progress at each stage. Clearly identify your final answer. 1. (5 points) Write 73, 456 in words. 2. (5 points) Simplify the following: a. 12,176 ÷ 24 b. 34 ∙ 51 c. √9 ∙ √36 d. 12(62-4) e. 7345 ∙ 1000 3. (5 points) Estimate each sum or difference by rounding to the nearest hundred. a. 1423 + 6234 + 1867 b. 8734 – 2398 4. (5 points) Write a fraction to represent the shaded area. 5. (5 points) Write each fraction in simplest form. a. b. 50 75 105 120 6. (5 points) Perform each indicated operation. Write each answer in simplest form. a. 3 3 2 ÷ 3 1 b. 4 ∙ 12 c. d. 2 9 1 2 ∙ 15 4 ÷6 1 e. 1 3 ∙ 6 ∙ 4 12 1 4 3 5 7. (5 points) Find the LCM of the following. a. 12 and 24 b. 7, 9, and 21 8. (5 points) Perform each indicated operation. Simplify your answers. a. b. 6 − 7 2 3 + 1 3 5 6 + 7 9 2 c. 15 − 5 9 d. 3 5 1 ( − 3) 4 6 2 2 1 3 e. (5) + (2) 9. (5 points) Perform the indicated operations. Round division answers to the nearest thousandth if necessary. a. 5.8 + 0.043 + 16.79 b. 20.01 × 11.1 c. 39.4 100 d. 3.32 ÷ 4 × 10 e. 0.2[5.28-(0.7)2] 10. (5 points) A school has 410 students and 25 teachers. How many students are there per teacher? 11. (5 points) Find the circumference of a circle with radius 1.4 in. long. Then use the approximation 3.14 for π and approximate the circumference. 12. (5 points) Write each ratio or rate as a fraction in simplest form. a. 9 inches of rain in 30 days 1 b. 1 2 to 3 4 13. (5 points) Find each unit price and decide which is the better buy. a. Oranges: 6 for $0.96 or 8 for $1.20 b. Muffins: 12 for $10.20 or 18 for $16.20 14. (5 points) Find the unknown number n in each proportion. a. b. 𝑛 30 0.1 0.6 9 = = 15 𝑛 12 15. (5 points) Solve. a. An engineering school accepts 2 out of every 11 applicants. If the school accepts 460 students in Fall of 2012, how many students applied for admission? b. On a map, 3 inches corresponds to 100 miles. Find the actual distance between 1 two cities that are 7 inches apart on the map. 2 16. (5 points) Write each percent as a decimal. a. 12.3% b. 152% 17. (5 points) Write each decimal as a percent. a. 0.71 b. 0.059 18. (5 points) Solve. a. What number is 60% of 300? b. 0.2% of what number is 24? 19. (5 points) Solve. Round all dollar amounts to the nearest cent. a. A cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of the solution. b. If the sales tax is 7.12%, find the total amount charged for a lamp priced at $60. 20. (5 points) Solve. Round all dollar amounts to the nearest cent. a. Marty borrowed $450 at 9% interest for 3 months. Find the total amount due at the end of the 3 months. b. $5000 is compounded quarterly at a rate of 10%. Find the total amount in the compound interest account at the end of 20 years. (The compound interest factor is 7.20957). ...
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Tutor Answer

KathyBlaq
School: University of Virginia

Name Professor Class Date Title 73,456There are a total of 10 boxes, 7 are shaded and 3 are not shadedLCM 410 students, 25 teachersRadius = 1.4 inchesFinding the unit priceFinding the unknown numberFrom percent to decimalFrom decimal to percent Answer: Seventy three thousand, four hundred and fifty six. Divide by 8 on both the denominator and the numerator to get Divide by 3 Answer: 507.33 (2d.p) Answer= 405 √9 = 3 √36 = 6 Answer = 18 Solving the bracket first = 36 Answer: 384 Answer: 7,345,000 8743 – 2390 Rounding off to the nearest hundred 9524 becomes 9500 this is because 24 is less than 50 Answer: 9500 8743 – 2390 = 6336 Rounding off to the nearest hundred 6336 becomes 6300 this is because 36 is less than 50 The fraction of the shaded boxes is Both 50 and 75 can be divide by 25. 50 is divide by 25 two times while 75 is divided 3 times making the new simplified equation: 105 and 120 can both be divided by 3 giving 35 and 40 can further be divided by 5 giving Division of two fractions is the same as multiplying the first fraction with the reciprocal of the second fraction. This can be simplified by dividing through by 3 on both the denominator and the numerator to get 12 and 247, 9 and 21 To get the least common multiple we take every factor in the numbers and its highest power. All the factors are 2 and 3. The highest power of 2 is 3 while the highest power of 3 is 1. All the factors are 1, 3 and 7. The highest power of 3 is 2 while the highest power of 7 is 1. Find the LCM of the denominators which is Divide the LCM with the denominator and multiply it with the numerator The LCM is 9 in this case Solving the bracket first LCM is 6 for this The LCM is Multiply directly without considering decimals then add the total number of decimals after multiplication. Initially there was a total of three decimal places in both numbers, also there will be three decimal places in the answer Dividing by a hundred moves the decimal place two points to the left. Considering B.O.D.M.A.S, division should be done before multiplication when they occur together in the same equation. B.O.D.M.A.S Brackets should be solv...

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