Download E-books Gruber's Complete SAT Guide 2009 (Gruber's Complete SAT Guide -12th Edition) PDF

By Gary Gruber

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201, 202) 6. B 19. D 32. B forty four. E 7. D 20. C 33. E forty five. A eight. C 21. D 34. A forty six. C 2. selection A is right. nine. B 22. A 35. D forty seven. C 10. C 23. A 36. C forty eight. A eleven. D 24. B 37. D forty nine. E 12. C 25. E 38. B 50. C thirteen. E 26. C solutions and strategies for perform try 2 1. selection B is true. the elemental dating this is: fee ϫ time ϭ distance. the simplest devices enable r ϭ price jointly and t ϭ time jointly. to paintings with are miles consistent with hour for the speed, hours for time, and miles for distance. word that the be aware 1 Now, r ϭ 1 ϩ ᎏ1ᎏ ϩ ᎏ1ᎏ ϭ ᎏ1ᎏ simply because each time or in line with exhibits department simply because while calculating a 2 three 6 price, we divide the variety of miles (distance extra everyone is operating jointly, their joint expense is devices) by way of the variety of hours (time units). the sum in their person premiums. this isn't necessa rily actual of the time or the paintings performed. for this reason, we will be able to arrange our chart with the data given. 1 6 we all know that r ϫ t ϭ 1 and r ϭ ᎏ1ᎏ, so t ϭ ᎏᎏ. 6 eleven we all know that the upstream journey took 1ᎏ1ᎏ hours (90 2 (201, 203) mins) and that the gap used to be three miles. hence the upstream fee was once 2 miles in line with hour. The down - three. selection E is true. movement distance was once additionally three miles, yet we use t for the time, that's unknown. therefore the downstream cost was once ᎏ3ᎏ. Our chart appears like this: t permit x ϭ a part of the $2,000 invested at five percent. enable y ϭ a part of $2,000 invested at four percent. we all know that considering that the entire $2,000 was once invested, x ϩ y needs to equivalent $2,000. additionally, we all know that the sum of the pursuits on either investments equaled $95, so zero. 05 x ϩ zero. 04 x ϭ ninety five. considering the fact that we need to remedy just for x, we We use the remainder of the data to resolve for t. We can exhibit this as zero. 01 x ϩ zero. 04 x ϩ zero. 04 y ϭ ninety five. be aware of that the rate of the present is two miles in line with Then we issue out zero. 04. therefore zero. 01 x ϩ zero. 04 ( x ϩ y) hour. We think the boat to be in nonetheless water and ϭ ninety five. for the reason that we all know that x ϩ y ϭ 2,000, we assign it a velocity, s; then the upstream (against have zero. 01 x ϩ zero. 04 (2,000) ϭ ninety five; zero. 01 x ϩ eighty ϭ ninety five, the present) velocity of the boat is s Ϫ 2 miles according to and x ϭ 1,500. hence, $1,500 was once invested at five percent. hour. considering the fact that s Ϫ 2 ϭ 2, s ϭ four. (201, 205) 175-346. qxd:22678_0175-0258. qxd 5/1/08 4:00 PM web page 209 whole SAT MATH REFRESHER • 209 four. selection E is right. 6. selection B is true. permit a ϭ distance the guy walks. because the guy allow x three mi ϭ weight of espresso A within the combine. walks at three miles according to hour, he walks at ᎏ or 60 min permit y ϭ weight of espresso B within the combine. 1 mi 1 mi ᎏ. From this we will discover a ϭ ᎏ ϫ 20 min 20 min we all know that the load of the combination is the same as the sum of the weights of its parts. hence, 30 min ϭ 1ᎏ1ᎏ miles. the entire time he spent was once 2 x ϩ y ϭ 10. equally, the price of the combination is equivalent 50 mins (the distinction among 3:15 and 2:25), to the sum of the prices of the parts. therefore, and 30 ϩ 10 ϩ t ϭ 50, so t needs to be equivalent to ten min- seventy five x ϩ eighty y ϭ 780. fixing those equations utes. This reduces our challenge to the concurrently supplies us x ϭ four and y ϭ 6, so four kilos of espresso A have been used.

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