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OG20 OG2022	br/] A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic? 1.Each side of each triangular piece of tile is 9 centimeters long. The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
Ready4	Thanks to advances in science and technology, many people that might at one time have been crippled as children by diseases such as poliomyelitis or Charcot-Marie-Tooth disease now enjoy near-normal lifestyles.
Ready4	If $x = \frac{2}{y}$ $x = 2 y$ and $y = \frac{z}{2}$ $y = z 2$ , is $(\frac{z}{3} + \frac{y}{2} + 3 x)$ $( z 3 + y 2 + 3 x )$ divisible by 5? (1) z = 3 (2) $y = \frac{3}{2}$ $y = 3 2$
Ready4	Carl's pet rabbit finishes a 2-pound bag of feed every 8 days. When Carl's rabbit and guinea pig both share the same bag of feed, they finish it in 5 days. How many days would it take Carl's guinea pig to finish a 2-pound bag by itself?
Ready4	If $x$ is a prime number, is $15x^3+30x^2+6x+9$ divisible by $x^2$ ? (1) $x^2 > 4$ and $x^2 < 30$ (2) $x^2-10x+21=0$
Ready4	Joseph bought nails for $\$0.01$ each, hooks for $\$0.02$ each, and screws for $\$0.03$ each. Joseph bought a total of $18$ items and paid a total of $\$0.32$ . If Joseph bought twice as many nails as screws, how many hooks did he buy?
Ready4	A whale's length can be divided into three sections: its head, midsection, and tail. A certain whale has a head that is 50 feet long and a tail whose length is equal to the length of its head plus half the length of its midsection. If the whale's midsection is half the total length of the whale, how long is the whale?
Ready4	When Jacob closes the drain in his bathtub and turns on the cold water spigot, it takes him 3 minutes and 40 seconds to fill the tub completely. If he fills it from the hot water spigot instead, it takes him 5 minutes and 30 seconds to fill it completely. When the drain is opened in a completely full bathtub, it takes 11 minutes for the tub to empty. How many minutes will it take Jacob to fill the bathtub with both hot and cold water running simultaneously, if the drain is open and draining at a constant pace?
Ready4	What is the value of $a$ ? (1) $a^2-a-6=0$ (2) $a+5$ is a prime number
Ready4	A shopkeeper purchased footballs at $10 per football and sold them at a price equal to the purchase price plus a markup. If the markup was 10% of the selling price, what was the shopkeeper's profit in dollars, to the nearest cent, on each football?
Ready4	Which of the following equations describes a line parallel to the line below? $x+2y=4$
Ready4	People who tend to hoard money and valuables often do not think of the interest that would be generated if a part of their wealth would have been invested in another form.
Ready4	How many numbers in a set of 5 consecutive positive integers are divisible by 4? (1) The median of the set is odd (2) The mean of the set is prime
Ready4	Many speech disorders do not involve physical disabilities, but rather are the result from minor neurological dysfunctions.
Ready4	A 20-liter mixture of water and apple juice contains juice and water in a ratio of 6 : 4. Ten liters of the mixture are removed and replaced with pure juice; then this process is repeated once more. At the end of the two removals and replacements, what is the ratio of juice to water in the resulting mixture?
Ready4	Lacking proper information about nutrition, people tend to overestimate the amount of calories in foods, such as sweets, that are processed and underestimate the amount in natural foods, such as potatoes.
Ready4	A talented architect who advocated the principles of “organic architecture," Frank Lloyd Wright designed over 1,000 structures across the world, perhaps most notably Fallingwater in Pennsylvania.
Ready4	As popular as something becomes, be it a music album or a television show or a movie trailer, the more eagerly it is sought by an Internet audience.
Ready4	The ability to adapt to high-altitude living appears to have genetic roots, since tribesmen from low altitude regions were found to experience increased difficulties breathing in mountainous regions.
Ready4	Forensic pathologists—medical personnel who perform autopsies—have historically been trained to follow a consistent, sequential procedure to determine a subject’s cause of death. However, interviews with the most successful forensic pathologists employed by the federal government reveal that they sometimes prefer to use intuitive, ad hoc methods in place of traditional sequential procedures. This is compelling evidence that intuitive methods should be taught alongside careful step-by-step procedures. The conclusion above is based on which of the following assumptions?