comAssessmentsStudent TestPaper asidataKBraTgT2t Mat095 Depa

.com/Assessments/Student TestPaper asidataKBraTgT2t Mat095 Departmental Final Exam R Time ae Page 17 of 50 17) Betty drove her car and covered a distance of 440 miles in 8.2 hours. What was her speed for the trip? (Round to the nearest tenth.) a)O 53.7 miles per hour b) O 56.4 miles per hour c) 63.5 miles per hour d)65 miles per hour 8 9 4 5 3

Solution

17) Betty travelled 440 miles in 8.2 hours. Her speed, therefore was 440/8.2 = 53.7 miles per hour ( on rounding off to 1 decimal place). The option A is correct.

18) Light travels at 300,000,000 meters per second = 3*10⁸ meters per second. Also, 1 year = 365 days = 365*24 hours = 365*24*60 minutes = 365*24*60*60 seconds = 31536000 seconds = 31536*10³ seconds. Therefore, in 1 light year, light travels (3*10⁸) * ( 31536*10³ ) meters = 3*31536*10¹¹ meters = 94608*10¹¹ meters or 9.4608*10¹⁵ meters.

19) We have 3 fractions viz. 7/30, 3/10 and 13/15. The LCM of 10, 15 and 30 is 30.Also 3/10 = 3*3/10*3 = 9/30 and 13/15 = 13*2/15*2 = 26/30. Thus, with a common denominator, the three fractions are 7/30, 9/30 and 26/30. We know that when fractions have a common denominator, the bigger the numerator, the bigger the fraction. Hence, in descending order, the given fractions are 26/30, 9/30, 7/30 or, 13/15, 3/10 and 7/30.

15) Alice has soved 28 out of 70 problems assigned to her. The fractionn of the problems completed is 28/70 or, 2*14/5*14 = 2/5 in lowest terms. The option a) is correct.

16) Mary reads 6 books in an year and Bob reads 28 books in an year. The ratio of books read by Mary to books read by Bob is 6/28 = 2*3/2*14 = 3/14.The option b) is correct.

21) The average of 4/5, 6/5 and 8/5 is 1/3 ( 4/5 + 6/5 + 8/5) = 1/3* ( 4 + 6 + 8)/5 = 1/15( 18) = 18/15 = 3*6/3*5 = 6/5

48) We have (1.2* 10⁵) * ( 1.5*10^-2) = 1.2 * 1.5 * ( 10⁵* 10^-2) = 1.8* 10^5-2 = 1.8*10³ = 1800.The option a) is correct.

47) 4x + 3 > -9 or, 4x + 3 + -3 > -9 + (-3) or, 4x > 12 so that 4x/4 > - 12?4 or x > -3.The figures in the options are blurred.

46) We have 3x + 4 > 9x + 10 or, 4 - 10 > 9x - 3x or, -6 > 6x or -1 > x or, x < -1. The option b) is correct.

45) A 30 % discount on $ 100 purchase means a reduction in cost by 30% of 100 or $ 30. The option c) is correct.

44) Jay spent 30 % of $ 50 i.e. $ 50 *30/100 = $ 15. Mike spent 20 % of $ 30 i.e. $ 20*30/100 or, $ 6. Thus Mike spent less.

43) Since 8 out of 50 students were absent, the percentage of students absent is (8/50) * 100 = 16 %.The option d) is correct.

42) 75 % of 310 is 75*310/100 = 232.5 .The option c) is correct.

41) The rate of interest charged by Citi Bank is 0.092 or 0.092* 100 % or 9.2 % Since Wells Fargo charges 8.5 %, hence Citi Bank charges are higher.The option c) is correct.

40) 15/4 = 15/4 = (15/4 ) * 100 % = 375 %. The option b) is correct.