Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 592174: If 3 times the square of a number is added to the number itself, the result is 14. Find the number? I need help on how to set up the problem.
Thank you

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Question 592130: Because of Earth's curvature, a person can see a limited distance to the horizon. The highere the location of a person, the farther that person can see. The distance D in miles to the horizon can be estimated by D(h) = 1.22√h, where h is the height of the person above the ground in feet. How high does a person need to be to see 23 miles?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 592810: debbie cuts a piece of wood measuring 2(1)/(2)in into two equal pieces. how long is each piece ?
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Question 592810: debbie cuts a piece of wood measuring 2(1)/(2)in into two equal pieces. how long is each piece ?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 592664: A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother’s age can be found by writing the square of the children’s ages one after the other as a four-digit number. How old is the mother?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 593438: you draw one card from a 52 card deck then the card is replaced in the deck and the deck is shuffled and you draw agian find the probability of drawing a 7 each time
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Question 593456: if amrik is three times chantals age, and in 4 years will be twice her age, how old are they now
Click here to see answer by mananth(16946) About Me 

Question 593629: One number is 4 more than another. The difference between their squares is 80.
What are the number?

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Question 593712: If it takes 1 week to create 4 seconds of animation for a movie, and your movie is 5760 seconds in length, how many weeks does it take to finish the movie?
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Question 593811: Lisa is 9 years old. Marcus is 33 years old. How old will Lisa be when Marcus is three times as old as she is.
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Question 593892: 240 hours split up into 49 hours a week is how many months?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 593744: The area of the rectangular piece of cardboard shown below is 216 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 224 cubic inches, find the length and width of the cardboard that must be used.
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Question 593933: A pound of grass seed covers 120 square feet of lawn. Find how many pounds are needed to seed a lawn with the following measurements:50 by 40 ft(2000 sq ft)

Click here to see answer by reraom(1) About Me 

Question 593985: When a screen is placed 3 metres from a projector, the picture occupies 3 square
metres. How large will the picture be when the projector is 5 metres from the
screen?
I have no idea what the answer would be. 5 seems too easy...Maybe they didn't give enough info?

Click here to see answer by Alan3354(69443) About Me 

Question 594159: sue can shovel snow from her driveway in 45 minutes. jum can do the same job in 40 minutes. how long would it take sue and jum to shovel the driveway if they worked together?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 594192: A BILL WAS RECIEVED FOR $584 OF THIS 23% WENT TO A CHARITY ,HOW MUCH DID THE CHARITY RECIEVE?

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Question 594067: a pole that is 28 feet in length is attached to a pole that is 56 feet. what is the combined length of the two poles in yards.

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Question 594417: --------------------------------------------------------------------------------

Transylvania is inhabited by humans, vampires, and werewolves. You cannot tell simply by looking at someone what he or she is. However, humans always tell the truth, vampires always lie, and werewolves sometimes tell the truth and sometimes lie.
In addition, some inhabitants are quite insane and think all true statements are false and all false statements are true. The other inhabitants are sane and correctly distinguish between true and false statements.
So, in Transylvania a false statement could be made out of malice or simply out of honest delusion. For example, a sane human knows the earth is (approximately) round and says so, while an insane vampire believes the earth is not round so will lie and say that the earth is round.
So now we know about the vampires, humans, and werewolves in Transylvania. But there are also trolls. Of course, trolls look exactly like everyone else so you cannot tell by looking what someone is. Like werewolves, trolls both tell the truth and lie. However, a troll alternates between truth and lies. That is, when a new conversation begins, a troll may either tell the truth or lie, but then the truth of each following statement alternates.
A human, a vampire, and a troll come up to you. All three are sane. You ask what they are and one of them says, “I am a vampire. The lady is human. The other one is a troll.”
Is the speaker human, a vampire, or a troll?
I have eliminated the human and the werewolf straight up but determining the identity of troll or vampire ?

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Question 594485: An automobile dealership sells cars that are small, medium, and large. Last year they sold 1475 cars. They sold twice as many small cars as large ones. They sold 90 less medium-sized cars than they did small ones. How many large cars did they sell?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 594705: The problem is worded thus:
"If ten equals three, five equals four, two equals three,four equals four, and thirteen equals eight, what does nine equal?"
If this is a simple problem, why is it still orbiting over my head? Or do I keep guessing?

Click here to see answer by Alan3354(69443) About Me 

Question 594786: On Monday, the store had 128 individual sales. If 3 out of every 8 were air conditioners, how many sales were other items?
Click here to see answer by richwmiller(17219) About Me 

Question 594867: A heart typically beats 4320 times in an hour. At this rate, how many times does a heart beat in 8 minutes?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 594958: Transylvania is inhabited by humans, vampires, and werewolves. You cannot tell simply by looking at someone what he or she is. However, humans always tell the truth, vampires always lie, and werewolves sometimes tell the truth and sometimes lie.
In addition, some inhabitants are quite insane and think all true statements are false and all false statements are true. The other inhabitants are sane and correctly distinguish between true and false statements.
So, in Transylvania a false statement could be made out of malice or simply out of honest delusion. For example, a sane human knows the earth is (approximately) round and says so, while an insane vampire believes the earth is not round so will lie and say that the earth is round.
Cody Compton and Bill Devereaux are two Transylvanian friends. One is human and the other is a vampire. Cody says, "I am human" then Bill tells you, "I am human." Cody then tells you that Bill is sane. Which one is the vampire?
Cody, Compton, or Devereaux

Click here to see answer by jim_thompson5910(35256) About Me 

Question 595201: Please solve and show all work because i'm totally lost on these problems.Thanks in advance and God Bless.
1. Students in an accounting class took a final exam. They took equivalent forms of the exam in monthly intervls thereafter. The average S(t),in percent, after t months is given by the function, S(t)=75-13log(t+1),t>=0. The average score when they intially took the test was approxiamately what percent? What is the average score 24 months later percent? After how many months wasthe average score 50?


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Question 595301: The spanish club web site currently recives 500 daily visits. If the number of daily visits increases by 20 each month, when will the spanish club site have the same number of daily visits as the science club site?
Click here to see answer by richwmiller(17219) About Me 

Question 595096: A cube has an edge of 3 inches. The surface of the cube is painted black, then cut into 27 cubes that 1 in.x 1 in.x 1 in. How many cubes will have exactly 1 face painted black?
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Question 595472: Question 1
A duke was hunting in the forest with his men-at-arms and servants when he came across a tree. Upon it, archery targets were painted and smack in the middle of each was an arrow. "Who is this incredibly fine archer?" cried the duke. "I must find him!"
After continuing through the forest for a few miles he came across a small boy carrying a bow and arrow. Eventually the boy admitted that it was he who shot the arrows plumb in the center of all the targets. "You didn't just walk up to the targets and hammer the arrows into the middle, did you?" asked the duke worriedly. "No my lord. I shot them from a hundred paces. I swear it by all that I hold holy." "That is truly astonishing," said the duke. "I hereby admit you into my service."
The boy thanked him profusely. "But I must ask one favor in return," the duke continued. "You must tell me how you came to be such an outstanding shot."
How did the boy get to be such a good shot?

Click here to see answer by Earlsdon(6294) About Me 

Question 595488: The perimeter of a rectangle is 38 inches, and its area is 88 in2. Find the length of the longer and shorter side.
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Question 595733: Dou is working on a math problem in class, By mistake he multiplies by 10 and divides by 5 instead of multiplying by 5 and then dividing by 10. If the incorrect answer is 3, what is the correct answer?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 595563: Please show all work. Thanks in advance.
1. The half life of carbon14 is 5730 yrs. How long does it take for 2.8 grams of carbon 14 to be reduced to 1.1 grams ofcarbon-14 by radioactive decay? (Don't round to the final answer.)

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Question 596012: Messenger: jim_thompson5910
Values on the horizontal axis range from $0 to $25,000 show what the curve would look like if the decision maker was risk averse, risk seeking, or risk neutral

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Question 595943: If 52 people use 20,852 cans in one year, how many cans are used in a city which has a population of 1,089,000?
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Question 596025: how many 2/3 acres lots can fill a 9 3/4 acres of land?
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Question 596027: A rectangle has a perimeter of 196 inches. the length is 28 inches more than the width. What is the dimensions?
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Question 596041: Find the corresponding Celsius temperature for the a temperature of 292 F. using equation F=9/5(C+32)
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Question 596050: A total of 10,000 passengers ride a train in one day. If a child's fare is $1.25 and adult fare is $3.75 and the total revenue from fares is $32,500 for the day. How many children and adults rode the train?
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Question 596067: Island dinner booked a party and was charging the group a fix cost of 1,680. Later the number of people in the group increased by 50 people and the average cost decreased by $10 per person. How many people were booked originally.
a. 33
b. 70
c. 120
d. 168
The answer is B. 70. Can't figure out how to get 70.
Can someone please help me out with this problem. Can't figure this one out

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Question 596194: There are 18 students in a class. The number of boys is two less than three times the number of girls. How any boys are in the class?
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Question 596252: The radius of a circle as a function of time is defined by the equation, r(t)=4t^2+3t+1. Determine the rate of change in the area of the circle when dr/dt=11.
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Question 596257: FInd the area of the largest rectangle that can be inscribed in a semicircle of fadius r.
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Question 596354: Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12
Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum.

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Question 596358: How do I graph this? I have been trying and I am drawing a blank
Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12
Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum.
t-value at max:
t = -b/(2a)
t = -32/(2(-2))
t = -32/(-4)
t = 8 hours
.
6:00 am + 8 hours = 2 pm

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Question 596485: You lease a car at $415 per month for four years. Estimate the total cost of the lease.
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Question 596545: The length of a regular pool is 6 meters less than twice its width. If the pool's perimeter is 126 meters, what are its dimensions?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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