Find the greatest common divisor of the numbers.405 and 945

A. 135
B. 945
C. 405
D. 2835


Answer: A

Mathematics

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Solve the problem.A coin collection consists of only nickels and quarters with a value of less than $10. Let n = the number of nickels and q = the number of quarters. (a) Write an inequality that describes the possible numbers of nickels and quarters in the collection. (b) Graph the inequality. Because n and q must be whole numbers, restrict the graph to Quadrant I. (c) Could this collection consist of 107 nickels and 32 quarters?

A. (a) q > 50 - 0.25n;
(b)

(c) yes

B. (a) q < 50 - 0.25n;
(b)

(c) no

C. (a) q > 40 - 0.2n;
(b)

(c) yes

D. (a) q < 40 - 0.2n;
(b)

(c) no

Mathematics

Find the vertices of the hyperbola.16(y - 6)2 - 36(x - 1)2 = 576

A. (-3, 6) and (5, 6) B. (-1, 0) and (-1, -12) C. (1, 12) and (1, 0) D. (-5, -6) and (3, -6)

Mathematics

Rationalize the denominator and simplify. Assume all variables represent nonnegative real numbers.

A.  
B.  
C. 7 
D. 32

Mathematics

For the stated pair of functions, find a simplified expression for F(x) = (f/g)(x), and list any x-values not in the domain of F(x).f(x) = 64x3 - 8, g(x) = 4x - 2

A. (x) = 16x2 + 8+ 40.5
B. (x) = 16x2 - 8+ 4; 0
C. (x) = 17x2 + 10+ 30.5
D. (x) = 4x2 + 2+ 4-0.5

Mathematics