Which of the following statements is always true if p is a rational number?
Answer(s): A
No matter whether p is positive or negative, or whether p is a fraction, whole number, or mixed number, the absolute value of three times any number will always be positive and greater than the absolute value of that number.
Answer(s): D
LineOB lineOC, which means the angles opposite lineOBandOC(anglesCandB) are congruent. SinceangleB= 55 degrees, then angleC= 55 degrees. There are 180 degrees in a triangle, so the measure of angle O is equal to 180 (55 + 55) = 180 110 = 70 degrees. Angle O is a central angle. The measure of its intercepted arc, minor arcBC, is equal to the measure of angle O, 70 degrees.
If
Answer(s): C
Four copy machines make 240 total copies in three minutes. How long will it take five copy machines to make the same number of copies?
If four copy machines make 240 copies in three minutes, then five copy machines will make 240 copies in x minutes:Five copy machines will make 240 copies in 2.4 minutes. Since there are 60 seconds in a minute, 0.4 of a minute is equal to (0.4)(60) = 24 seconds. The copies will be made in 2 minutes, 24 seconds.
If 40% of j is equal to 50% of k, then j is
40% of j= 0.4j, 50% of k = 0.5k. If 0.4j= 0.5k, = 1.25kis equal to 125% of k, which means that j is 25% larger thank.
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