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SAT Practice Test 2015. A coastal geologist estimates that a certain country’s beaches are eroding at a rate of 1.5 feet per year. According to the geologist’s estimate, how long will it take, in years, for the country’s beaches to erode by 21 feet?
Answer:
This is a simple rule of three question.
The beach erodes 1.5 feet in 1 year.
The beach erodes 21 feet in x years.
Therefore,
$\frac{1.5}{21}=\frac{1}{x}$
$1.5x=21(1)$
$x=14$ years
Answer: 14
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SAT Practice Test 2015.
Tony is planning to read a novel. The table above shows information about the novel, Tony’s reading speed, and the amount of time he plans to spend reading the novel each day. If Tony reads at the rates given in the table, which of the following is closest to the number of days it would take Tony to read the entire novel?
A) 6
B) 8
C) 23
D) 324
Answer:
Tony plans to read 180 minutes per day (3 hours), and he reads 250 words per minute. Therefore he reads 180*250=45000 words per day.
The novel has 346168 words. Thus it will take Tony 346168 / 45000 = 7.7 days to read the entire novel.
Answer: B
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SAT Practice Test 2015. The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns 120 dollars at a performance where 8 people attend. How much money (in dollars) will the performer earn when 20 people attend a performance?
A) 960
B) 480
C) 300
D) 240
Answer:
The performer earns 120 dollars, when 8 people attend.
The performer earns x dollars, when 20 people attend.
Therefore,
$\frac{120}{x}=\frac{8}{20}$
$8x=120(20)$
$x=300$
Answer: C
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SAT Practice Test 2015. A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many lightbulbs will be inspected if the factory produces 20,000 lightbulbs?
A) 300
B) 350
C) 400
D) 450
Answer:
The manager selects 7 lightbulbs out of 400.
The manager will select x lightbulbs out of 20,000.
Therefore,
$\frac{7}{x}=\frac{400}{20000}$
$400x=7(20000)$
$x=7(50)$
$x=350$
Answer: B
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SAT Practice Test 2015.
1 decagram = 10 grams
1,000 milligrams = 1 gram
A hospital stores one type of medicine in 2-decagram containers. Based on the information above, how many 1-milligram doses are there in one 2-decagram container?
A) 0.002
B) 200
C) 2,000
D) 20,000
Answer:
2 decagram = 2(10) grams = 20 grams
20grams = 20(1,000) milligrams = 20,000 miligrams = 20,000 doses
Answer: D
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SAT Practice Test. An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost.
Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee.
What foreign exchange rate, in Indian rupees per one U. S. dollar, did the bank use for Sara’s charge? Round your answer to the nearest whole number.
Sara spent 602 rupees. If we divide this number by the exchange rate (r) in Indian rupees per one U. S. dollar, we will find the value of the purchase in dollar:
$P_{dollar}=602/r$
Now we have to add the 4% fee in order to find the charge to Sara's account:
$P_{dollar}.(1.04)=602/r.(1.04)=9.88$
$602.(1.04)=(9.88).r$
$r=63.36$ Indian rupees per one U. S. dollar
Answer: 63
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SAT Practice Test. This question refers to the information provided in the previous question.
A bank in India sells a prepaid credit card worth 7,500 rupees. Sara can buy the prepaid card using dollars at the daily exchange rate with no fee, but she will lose any money left unspent on the prepaid card. What is the least number of the 7,500 rupees on the prepaid card Sara must spend for the prepaid card to be cheaper than charging all her purchases on the Traveler card? Round your answer to the nearest whole number of rupees.
Using the exchange rate of 63 Indian rupees per one U. S. dollar, Sara will have to pay for the prepaid credit card: $(7500/63)$ U.S. dollar.
If Sara spends x Rupees in the Traveler card, her account will be charged $x/63.(1.04)$ dollars. We want this amount to be greater than the price of the prepaid credit card:
$x/63.(1.04)>7500/63$
$x.(1.04)>7500$
$x>7,211.5$
Answer: 7,212
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SAT Practice Test. A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?
A. 3
B. 10
C. 56
D. 144
If the tracking station can receive 3 megabits in one second; 11.2 gigabits will take x seconds to download.
$\frac{3}{1 sec}=\frac{11.2(1,024)}{x sec}$
$3=\frac{11.2(1,024)}{x}$
$x=\frac{11.2(1,024)}{3}=3,822$ sec=1.06h
This is how much time it takes for the station to receive one image.
Therefore, in 11 hours the station will be able to receive 10 images and a fraction of an image.
Answer: B
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SAT Practice Test. The following table classifies 103 elements as metal, metalloid, or nonmetal and as solid, liquid, or gas at standard temperature and pressure.
What fraction of all solids and liquids in the preceding table are metalloids?
Answer:
The total number of solids and liquids is 92 (90+2).
The total number of solids and liquids that are also metalloids is 7 (7+0).
Therefore, the fraction of all solids and liquids in the preceding table that are metalloids is 7/92.
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