The number p is greater than 0, a multiple of 6, and a factor of 180. How many possibilities are there for the value of p?
Answer(s): B
The positive factors of 180 (the positive numbers that divide evenly into 180) are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Of these numbers, 8 (6, 12, 18, 30, 36, 60, 90, and 180) are multiples of 6.
If g > 0 and h < 0, which of the following is always positive?
Answer(s): C
A positive number minus a negative number will not only always be a positive number, but will also be a positive number greater than the first operand. gh will always be negative when one multiplicand is positive and the other is negative. g + h will be positive when the absolute value of g is greater than the absolute value of h, but g + h will be negative when the absolute value of g is less than the absolute value of h. |h| | g| will be positive when |h| is greater than g, but |h| |g| will be negative when |h| is less than g. hg will be positive when g is an even, whole number, but negative when g is an odd, whole number.
Which of the following number pairs is in the ratio 4:5?
Two numbers are in the ratio 4:5 if the second number is5/4times the value of the first number;1/4is5/4times the value of1/5.
When x= 3, the expression 2x2 + 3x 7 =
Answer(s): A
Substitute 3 for x:2(3)2+ 3(3) 7 = 2(9) 9 7 = 18 16 = 34
What is the slope of the line 3y = 12x 3?
First, convert the equation to slope-intercept form: y= mx+b Divide both sides of the equation by 3:The slope of a line written in this form is equal to the coefficient of the x term. The coefficient of the term is -4, so the slope of the line is-4
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