If x2 + x = 6, what is the value of x?
Answer(s): C
What is the number of square inches in the area of a circle whose diameter is 28 inches?Use 22/7 for the value of .
Answer(s): A
The area of a circle is xr2, where x = 22/7 and represents the length of the radius. A radius is one-half the length of a diameter. Therefore, if the diameter is 28 inches, the radius of the circle is 14 inches.
The expression x2 + 2x - 3 / x + 3 cannot be evaluated if x has a value of __________.
Answer(s): D
If x = -3, the denominator of x2 + 2x - 3/ x + 3 will equal 0. Division of 0 is undefined, so x cannot equal -3.
If x = y, what does 4(x - y) + 7 = __________.
Answer(s): B
If x = y, then you can substitute × for y in the 2nd equation - so 4(x - x) + 7 = 4(0) + 7 = 7
For a special operations air assault mission, one extra soldier for the security element is to be chosen atrandom from among three soldiers from the 327th Infantry Regiment, two soldiers from the 502nd Infantry Regiment, and five soldiers from the 187th Infantry Regiment.What is the probability that a soldier from the 327th Infantry Regiment will be chosen?
The probability of an event occurring is the number of "favorable'' outcomes divided by the total possible number of outcomes.Since there are three soldiers from the 327th from which to choose, there are three possible favorable outcomes for choosing a soldier from that unit.Since the choice will be made from among a total of 10 soldiers, there are 10 different possible outcomes.The probability of choosing a soldier from the 327th Infantry Regiment is 3/10.
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