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Ready4

In the figure above, what is the value of x + y?

(1) x = 70

(2) \Delta ABC and \Delta ADC are both isosceles triangles.
Ready4
300难题 A country's per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500 ? 1. Country G`s national debt to the nearest $1,000,000,000 is $43,000,000,000. 2. Country G`s population to the nearest 1,000,000 is 86,000,000.
300难题 A $10 bill (1,000 cents) was replaced with 50 coins having the same total value. The only coins used were 5-cent coins, 10-cent coins, 25-cent coins, and 50-cent coins. How many 5-cent coins were used? 1.Exactly 10 of the coins were 25-cent coins and exactly 10 of the coins were 50-cent coins. 2.The number of 10-cent coins was twice the number of 5-cent coins.
300难题 Each of the five divisions of a certain company sent representatives to a conference. If the numbers of representatives sent by four of the divisions were 3,4, 5 and 5, was the range of the numbers of representatives sent by the five divisions greater than 2 ? 1.The median of the numbers of representatives sent by the five di\isions was greater than the average (arithmetic mean) of these numbers. 2.The median of the numbers of representatives sent by the five divisions was 4.
300难题 OG20 If n > 4, what is the value of the integer n ? 1. $$\frac{n!}{(n-3)!}$$ =$$\frac{3!n!}{4!(n-4)!}$$ 2. $$\frac{n!}{3!(n-3)!}$$ +$$\frac{n!}{4!(n-4)!}$$ =$$\frac{(n+1)!}{4!(n-3)!}$$
300难题 At a certain university recreation center, a member can receive a 30-minute massage, a 60-minute massage, or a 90-minute massage, and is charged $0.50 per minute for each massage. A member receiving a massage is charged the same fixed amount for each additional service, such as nutrition advice or a fitness evaluation. At this center, what is the total charge to a member for a 60-minute massage and 3 additional services? 1.At this recreation center, Jordan,a member ,had a massage and 3 additional services for a total charge of $37.50. 2.At this recreation center,Ryan,a member,had a massage and 2 additional services for a total charge of $60.00.
300难题 Merle ' s spare change jar has exactly 16 U.S. coins, each of which is a 1-cent coin, a 5-cent coin, a 10-cent coin, a 25-cent coin, or a 50-cent coin. If the total value of the coins in the jar is 288 U.S. cents, how many 1-cent coins are in the jar? 1.The exact numbers of 10-cent,25-cent, and 50-cent coins among the 16 coins in the jar are, respectively, 6, 5,and 2. 2.Among the 16 coins in the jar there are twice as many 10-cent coins as 1-cent coins.
300难题 Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue? 1.As of today, Alan has saved 7 dollars and Sue has saved 27 dollars. 2.Three days from today, Alan will have saved one-third as much as Sue.
300难题 In the figure above, the shaded region represents the front of an upright wooden frame around the entrance to an amusement park ride. If RS= $$\frac{5\sqrt{3}}{2}$$ meters, what is the area of the front of the frame? 1.x = 9 meters 2.ST=$$2\sqrt{3}$$ meters
300难题 If cubical blocks in a display are stacked one on top of the other on a flat surface, what is the volume of the stack of blocks in cubic centimeters? 1.The volume of the top block is 8 cubic centimeters. 2.The height of the stack of blocks is 10 centimeters.
300难题 What is the length of the hypotenuse of △ABC ? (1)The lengths of the three sides of △ABC are consecutive even integers. (2)The hypotenuse of △ABC is 4 units longer than the shorter leg.
300难题 Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later decided to use all of the fencing to enclose a rectangular region with length y meters greater than its width. In square meters, what is the positive difference between the area of the square region and the area of the rectangular region? 1. xy=256 2. y=4
300难题 Is the perimeter of a certain rectangular garden greater than 50 meters? 1.The two shorter sides of the garden are each 15 meters long. 2.The length of the garden is 5 meters greater than the width of the garden.
300难题 When opened and lying flat, a birthday card is in the shape of a regular hexagon. The card must be folded in half along 1 of its diagonals before being placed in an envelope for mailing. Assuming that the thickness of the folded card will not be an issue, will the birthday card fit inside a rectangular envelope that is 4 inches by 9 inches? 1.Each side of the regular hexagon is 4 inches long. 2.The area of the top surface (which is the same as the area of the bottom surface) of the folded birthday card is less than 36 square inches.
300难题 In rectangular region PQRS above, T is a point on side PS. If PS = 4, what is the area of region PQRS ? 1.△QTRis equilateral. 2.Segments PT and TS have equal length.
300难题 The figure above shows the dimensions of a square picture frame that was constructed using four identical pieces of frame as shown. If w is the width of each piece of the frame, what is the area of the front surface of each piece? (1 ft= 12 inches) 1.w = 3 inches 2.PQ=$$\sqrt{18}$$ inches
300难题 Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers? (1)The lawn is rectangular and its area is 32 square yards. (2)Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.
300难题 Town X has 50,000 residents, some of whom were born in Town X. What percent of the residents of Town X were born in Town X ? 1.Of the male residents of Town X, 40 percent were not born in Town X. 2.Of the female residents of Town X, 60 percent were born in Town X.
300难题 If x, y,and d are integers and d is odd, are both x and y divisible by d ? 1.x + y is divisible by d. 2.x - y is divisible by d.