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OG18-数学分册 Of the goose eggs laid at a certain pond, $$\frac2 3$$ hatched, and $$\frac3 4$$ of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, $$\frac3 5$$ did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
Manhattan Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
190215 Someone wants to buy n apples. She has two plans. The first option is to buy a basket of apples for $6. The second option is to buy one by one, and the price of each apple is $0.32. Is the first plan more cost-effective than the second? 1: n less than 20 2: n + 4 apples can be bought with $7.04 in the second way.
Manhattan The longevity of a certain metal construction is determined by the following formula: $$l = {(7.5 – x)}^{4} + 8.97^{c}$$, where l is the longevity of the construction, in years, x is the density of the underlying material, in $$\frac{g}{cm^{3}}$$, and c is a positive constant equal to 1.05 for this type of metal constructions. For what value of density, x, expressed in $$\frac{g}{cm^{3}}$$, will the metal construction have minimal longevity?
Ready4

In a courtyard, one bell rings every \tfrac{1}{<font color='#FE8080'>4</font>} hour and another bell rings every \tfrac{1}{5} hour. Both bells ring together at exactly the beginning of each hour. Which of the following gives all of the intervals that occur between any two rings of the bells, in minutes?
Ready4

If money is invested at  percent interest, compounded annually, the amount of the investment will double in approximately  years. If $7,500 is invested in an account that pays 5 percent interest, compounded annually, how many years will it take for the value of the investment to be 4 times its initial value?
模考带练机经题 A survey is about the situation of watching television among 100 people. There are 60 people watching sports program, 35 people watching the news program, and 40 people watching other programs. 10 people watch all the programs, and 5 people do not watch any programs. There are 10 people just watching two programs: the news and sports program, and 4 people just watching two programs: sports and other programs. How many people just watch one program: other shows?
OG18-数学分册 Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
OG19-数学分册 Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
OG19-数学分册 Of the goose eggs laid at a certain pond,$$\frac{2}{3}$$ hatched, and $$\frac{3}{4}$$ of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, $$\frac{3}{5}$$ did $$\underline{not}$$ survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
OG19-数学分册 Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
Ready4

Today, Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam and Tina are all alive 4 years from today, which of the following must be true on that day?

I. Rose is twice as old as Sam

II. Sam is 3 years younger than Tina.

III. Rose is older than Tina.

 
Ready4

On a recent trip, Pat rode her bike 10 miles. What was Pat's average speed, in miles per hour, during the trip?

(1) Pat rode her bike 6 miles at an average speed of 12 miles per hour and then rode the remaining 4 miles at an average speed of 10 miles per hour.

(2) Pat rode her bike a total of 0.9 hour.
OG18-数学分册 Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
PREP07 Test 1 . A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors:blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
OG20 OG2022 The 9 squares above are to be filled with x 's and o 's, with only one symbol in each square. How many of the squares will contain an x ? 1.More than $$\frac{1}{2}$$ of the number of squares will contain an o. 2.Each of the 4 corner squares will contain an x.
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?I.3II.7III.12
OG16 OG17 OG18 OG19 OG20 OG2022 A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?(1) The amount of the investment at the beginning of the second year was $4,160.00.(2) The amount of the investment at the beginning of the third year was $4,326.40.
Until recently, zoologists believed that all species of phocids (true seals), a pinniped family, use a different maternalstrategy than do otariids (fur seals and sea lions), another pinniped family. Mother otariids use a foraging strategy. They acquire moderate energy stores in the form of blubber before arriving at breeding sites and then fast for 5 to 11 days after birth. Throughout the rest of the lactation (milk production) period, which lasts from 4 months to 3 years depending on the species, mother otariids alternately forage at sea, where they replenish their fat stores, and nurse their young at breeding sites. Zoologists had assumed that females of all phocid species, by contrast, use a fasting strategy in which mother phocids, having accumulated large energy stores before they arrive at breeding sites, fast throughout the entire lactation period, which lasts from 4 to 50 days depending on the species. However, recent studies on harbor seals, a phocid species, found that lactating females commenced foraging approximately 6 days after giving birth and on average made 7 foraging trips during the remainder of their 24-day lactation period.The maternal strategy evolved by harbor seals may have to do with their small size and the large proportion of their fat stores depleted in lactation. Harbor seals are small compared with other phocid species such as grey seals, northern elephant seals, and hooded seals, all of which are known to fast for the entire lactation period. Studies show that mother seals of these species use respectively 84 percent, 58 percent, and 33 percent of their fat stores during lactation. By comparison, harbor seals use 80 percent of their fat stores in just the first 19 days of lactation, even though they occasionally feed during this period. Since such a large proportion of their fat stores is exhausted despite feeding, mother harbor seals clearly cannot support all of lactation using only energy stored before giving birth. Though smaller than many other phocids, harbor seals are similar in size to most otariids. In addition, there is already some evidence suggesting that the [hl:4][hl:3][hl:2][hl:1]ringed seal[/hl:1][/hl:2][/hl:3][/hl:4] , a phocid species that is similar in size to the harbor seal, may also use a maternal foraging strategy.
模考带练机经题 The probability of getting head once and the probability of getting tail once are not the same when a coin is tossed once. If there are no other results of tossing a coin, what's the probability of getting both heads when the coin is tossed twice? (1) the probability of getting head once is twice the probability of getting tail once. (2) the probability of two tosses with one head and one tail is 4/9