Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 8 0.8 800 80 8 0.8 800 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8
Fractions and Decimals If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 61/63 65/67 73/77 71/74 61/63 65/67 73/77 71/74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.
Fractions and Decimals [(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ? 2 3 1 4 2 3 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.30 0.28 0.32 0.34 0.30 0.28 0.32 0.34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals √441.441 + √256.256 = ? 35 41 39 37 35 41 39 37 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √441.441 + √256.256= √441 + √256= (21 + 16) = 37
Fractions and Decimals If two-third of two-seventh of a number is 60, then two-fifteenth of that number is 56 71 42 34 56 71 42 34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be X.Then 2/3 x 2/7 x X =60X = 60 x 7 x 3 / 4 = 315Then, 2/15 of 315 = 2/15 x 315 = 42.Hence the required number is 42
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