首页
登录
职称英语
At the beginning of a trip, the tank of Dianas car was filled with gasoline to h
At the beginning of a trip, the tank of Dianas car was filled with gasoline to h
游客
2025-02-24
31
管理
问题
At the beginning of a trip, the tank of Dianas car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank. At the end of the trip, Diana added 8 gallons of gasoline to the tank. The capacity of the tank of Diana’s car was x gallons. Which of the following expressions represent the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip?
Indicate all such expressions.
选项
答案
A,B
解析
The capacity of the car’s tank was x gallons of gasoline. Before the trip, the tank was half full and therefore contained x/2 gallons of gasoline. During the trip, 30 percent of the gasoline in the tank was used, so the number of gallons left was 70 percent of x/2, or
. After Diana added 8 gallons of gasoline to the tank, the total number of gallons in the tank was
. Thus one correct choice is Choice B,
.
However, the question asks you to find all of the answer choices that represent the number of gallons of gasoline in the tank at the end of the trip. So you need to determine whether any of the other choices are equivalent to
. Of the answer choices, only Choices A and C have the same constant term as Choice B: 8. So these are the only choices that need to be checked. Choice A,
, can be simplified as follows.
So Choice A is equivalent to
. Choice C,
, is clearly not equivalent to
. Thus the correct answer consists of Choices A and B.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
转载请注明原文地址:http://tihaiku.com/zcyy/3970105.html
相关试题推荐
Acargot33milespergallonusinggasolinethatcost$2.95pergallon.Approxi
Acargot33milespergallonusinggasolinethatcost$2.95pergallon.Approxi
Thereare10packagesofcandyonashelf,4thatarefilledwithbluecandiesa
theaverageofnconsecutiveintegersbeginningwith1is12QuantityA:nQuant
Fromthebeginning,theideaofafiniteuniverseranintoitsownobst
Filledwith______,thefirst-yearjournalismstudentissomethingof______inthe
TheworksofBaudrillardarefilledwithseemingly______buttrulyvacuousrefere
Fromthebeginning,theideaofafiniteuniverseranintoitsowno
Fromthebeginning,theideaofafiniteuniverseranintoitsowno
Newscastsareroutinelyfilledwithsuchsensationalstoriesthatthepublicis
随机试题
Inamaterialisticand______societypeople’sinterestseemstobefocusedsolely
Manypeoplenowadayssavemoneyto______fortheiroldage.A、caterB、supplyC、pro
Thefridgeisconsideredanecessity.Ithasbeensosincethe1960swhenpa
AirPollutionandAcidRainTheincreasingvarietyandp
[originaltext]AcollegeprofessorhadhissociologyclassgointotheBalti
对有限责任公司而言,如有新投资者加入,新加入的投资者缴纳的出资额大于其按约定比例
血细胞比容是指血细胞( )。A.在全血中所占的重量百分比 B.在全血中所占的
针对具有内源性感染危险因素的昏迷病人,不正确的预防原则是A.尽量减少使用广谱抗生
如图所示,△ABC是底角为30°的等腰三角形,其内的矩形DEFG是由两个边长为1
开展项目后评价时,项目建设准备阶段需评价的内容是( )。A.釆购招标评价 B.
最新回复
(
0
)