Mathematics Test IV Solution - Page 100
32. If 4 miles = 6.44 km, then 14.49 km equals how many miles ?
4 miles : 6.44 km = x miles : 14.49 km
4 : 6.44 = x : 14.49
6.44x = 4 (14.49)
6.44x = 57.96
x = 57.96 / 6.44
x = 9 miles * Ans.
33. (a2 - 4b2) c is equivalent to ac + _________ ?
(a + 2b)
= (a + 2b) (a - 2b) x c
(a + 2b)
= (a - 2b) x c
= ac - 2bc
= ac + (-2bc) * Ans.
34. In a certain class the ratio of boys to girls is 4 : 5. If the class has 54 students, how many are girls ?
Girls = 5 / 9 (total number of students)
= (5 / 9) 54
= 30 girls * Ans.
35. Solve for x :
ax = bx + cx - d, a ≠ b ≠ c.
d = bx + cx - ax
d = x (b + c - a)
x = d
(b + c - a)
x = d * Ans
b + c - a
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