The three hands of an accurate 12-hour clock make a total of _?_ complete revolutions around the clock’s face every 24 hours. (A) 72 (B) 733 (C) 1466 (D) 10 104

(C) 1466

Step-by-step explanation:

The hour hand makes one revolution each 12 hours. So it makes 2 revolutions a day.

The minute hand makes one revolution each hour. So it makes 24 revoulutions a day.

The second hand makes one revolution each minute. So it makes 24*60 = 1440 revolutions a day.

In total:

2 + 24 + 1440 = 1466

The correct answer is C.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

probability for j is 1/4

while

a is 1/6