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Ready4

The town of Greenville witnessed a decline in butterfly population after rangers planted a new varieties of flowers in its public parks. Bee and songbird populations also experienced a drop. The town parks manager, however, maintains that the decline in wildlife has nothing to do with the new flower varieties.

Which of the following, if true, most strongly supports the parks manager’s position?
Ready4

SaveStop, a prominent convenience store chain, sells some of its most popular items at a very low cost. Careful analysis of the chain’s financial reports reveals that these items are actually sold at a loss to the company. Nonetheless, executives claim that the decision to offer these key items at such a low price is an essential component of the company’s business strategy.

Which of the following, if true, most strongly justifies the claim made by SaveStop’s executives?
300难题 What is the value of x ? 1.$$x^{4} +x^{2}$$ +1=$$\frac{1}{x^{4} +x^{2} +1}$$ 2.$$x^{3}+x^{2}$$=0
300难题 What is the median of the data set S that consists of the integers 17,29,10,26,15,and x ? 1.The average (arithmetic mean) of S is 17. 2.The range of S is 24.
300难题 A box of light bulbs contains exactly 3 light bulbs that are defective. What is the probability that a sample of light bulbs picked at random from this box will contain at least 1 defective light bulb? 1.The light bulbs in the sample will be picked 1 at a time without replacement. 2.The sample will contain exactly 20 light bulbs.
300难题 What is the value of $$\frac{x}{yz}$$? 1. x=$$\frac{y}{2}$$ and z=$$\frac{2x}{5}$$ 2. $$\frac{x}{z}$$ =$$\frac{5}{2}$$ and $$\frac{1}{y}$$ = $$\frac{1}{10}$$
300难题 In the figure above, B is on $$\overline {AC}$$ , D is on $$\overline {AE}$$ , $$\overline {AB}$$ has the same length as $$\overline {BC}$$ ,and ∠ ABD has the same measure as ∠ACE. Wliat is the length of $$\overline {DB}$$ 1.The length of $$\overline {EC}$$ is 6. 2.The length of $$\overline {DE}$$ is 5.
300难题 In the figure above, points A, B, C, and D are collinear and AB , BC sand CD are semicircles with diameters $$d_1$$ cm, $$d_2$$ cm, and $$d_3$$ cm, respectively. What is the sum of the lengths of AB,BC,and CD,in centimeters? 1.$$d_1$$ : $$d_2$$ : $$d_3$$ is 3:2:1. 2.The length of $$\overline {AD}$$ is 48 cm.
300难题 In the figure above, segments $$\overline{RS}$$ and $$\overline{TU}$$ represent two positions of the same ladder leaning against the side $$\overline{SV}$$ of a wall. The length of $$\overline{TV}$$ is how much greater than the length of $$\overline{RV}$$ ? 1.The length of $$\overline{TU}$$ is 10 meters. 2.The length of $$\overline{RV}$$ is 5 meters.
300难题 A bank account earned 2% annual interest, compounded daily, for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1,000,the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate? 1.The account earned exactly $25 in interest at the 2.5% rate. 2.The account was open for exactly three years.
300难题 A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a yearly fee. Did the novelist pay more to her agent last year than she paid to her publicist? 1.The publicist 's yearly fee is $2,000. 2.The novelist earned an average of $3,500 in royalties last year on each of her novels.
300难题 A large flower arrangement contains 3 types of flowers: carnations, lilies, and roses. Of all the flowers in the arrangement, $$\frac{1}{2}$$ are carnations, $$\frac{1}{3}$$ are lilies, and $$\frac{1}{6}$$ are roses. The total price of which of the 3 types of flowers in the arrangement is the greatest? 1.The prices per flower for carnations, lilies, and roses are in the ratio 1:3:4, respectively. 2.The price of one rose is $0.75 more than the price of one carnation, and the price of one rose is $0.25 more than the price of one lily.
300难题 If x and y are integers between 10 and 99, inclusive,is $$\frac{x - y}{9}$$ an integer? 1. x and y have the same two digits, but in reverse order. 2.The tens' digit of x is 2 more than the units' digit, and the tens' digit of y is 2 less than the units' digit.
300难题 If x and y are integers, is xy+ 1 divisible by 3 ?[br/[ 1.When x is divided by 3, the remainder is 1. 2.When y is divided by 9, the remainder is 8.
300难题 The 9 participants in a race were divided into 3 teams with 3 runners on each team. A team was awarded 6 - n points if one of its runners finished in nth place, where $$ 1\leq n \leq 5 $$. If all of the runners finished the race and if there were no ties, was each team awarded at least 1 point? 1.No team was awarded more than a total of 6 points. 2.No pair of teammates finished in consecutive places among the top five places.
300难题 If ⊛ denotes a mathematical operation, does x⊛ y = y⊛ x for all x and y ? 1.For all x and y, x⊛ y = 2($$x^{2} + y^{2}$$). 2.For all y,0⊛ y = 2$$y^{2}$$
300难题 n = $$2^{4} • 3^{2} • 5^{2}$$ and positive integer d is a divisor of n. is d > $$\sqrt{n}$$ ? 1.d is divisible by 10. 2.d is divisible by 36.
300难题 Given a positive number N, when N is rounded by a certain method (for convenience, call it Method Y), the result is $$10^{n}$$ if and only if n is an integer and $$5 *10^{n-1} \leq N < 5*10^{n}$$. In a certain gas sample, there are, when rounded by Method Y, $$10^{21}$$ molecules of $$H_2$$ and also $$10^{21}$$ molecules of $$O_2$$. When rounded by Method Y, what is the combined number of $$H_2$$ and $$O_2$$ molecules in the gas sample ? 1.The number of $$H_2$$ molecules and the number of $$O_2$$ molecules are each less than 3 *$$10^{21}$$. 2.The number of $$H_2$$ molecules is more than mice the number of $$O_2$$ molecules.
300难题 If n is an integer, is $$\frac{n}{15}$$ an integer? 1. $$\frac{3n}{15}$$ i s an integer. 2. $$\frac{8n}{15}$$ is an integer.
300难题 Can the positive integer n be written as the sum of two different positive prime numbers? 1.n is greater than 3. 2.n is odd.