Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 194386: a get together party charged at $8/head became $9/head because 8 will not attend the party. how many people attended the party?
note: this question was printed and given as a handout in class so i do not know the book reference
thank you

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Question 194417: I need help with these two problems.
1. 10m^4n^2-2m^3n^3-4m^2n^4
2. Find three consecutive odd integers such that three times the first minus the second is one more than the third.

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Question 194722: For what real number k does 3x2  k factor as
3(x  2)(x + 2)?

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Question 194800: A farm has 60 cows,pigs, and horses. There are 4 times as many cows and pigs as horses. How many horses are there?
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Question 194925: Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t)= 16t^2  32t + 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

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Question 195162: a ball is thrown from a height of 15 ft with an initial upward velocity if 5 ft/s. Use the formula h=1 16r2(squared)+vt + s to find out how long it will take for the ball to hit the ground.
thank you.

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Question 195271: Skydiving. If a skydiver jumps from an airplane at a
height of 8256 feet, then for the first five seconds, her
height above the earth is approximated by the formula
h(t )16t2  8256. How many seconds does it take
her to reach 8000 feet?

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Question 195544: Hi, I am having trouble figuring out this problem. What is the formula for figuring the height of a package when you have the base of the box?
I know there must be some formula to use to figure it out. Thank you.
Dimensions of a box. Rosita’s Christmas present from
Carlos is in a box that has a width that is 3 inches shorter
than the height. The length of the base is 5 inches longer
than the height. If the area of the base is 84 square
inches, then what is the height of the package?

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Question 195773: Hi would you help me to figure the formula for T(x). I am having a hard time with word problems.
Before and after. Jessica traveled 2x +50 miles in the
morning and 3x - 10 miles in the afternoon. Write a
polynomial T(x) that represents the total distance that she
traveled. Find the T(20).

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Question 196154: the difference between four times a number and twice the product of the number and one more than the number when translated into a mathematical expression is?
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Question 196604: Bear population. To estimate the size of the bear
population on the Keweenaw Peninsula, conservationists
captured, tagged, and released 50 bears. One year later, a
random sample of 100 bears included only 2 tagged bears.
What is the conservationist’s estimate of the size of the
bear population?

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Question 196602: Commuting students. At a well-known university, 1/4 of the
undergraduate students commute, and 1/3 of the graduate
students commute. One-tenth of the undergraduate students
drive more than 40 miles daily, and 1/6 of the graduate
students drive more than 40 miles daily. If there are twice
as many undergraduate students as there are graduate
students, then what fraction of the commuters drive more
than 40 miles daily?

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Question 196713: Tom's uncle owns a triangular piece of land. the perimeter feance that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. What is the length of each side?
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Question 196735: Please help me with this problem. The number of acres in the McBride farm is 4.5 times the number of acres in the Smyth farm. Together the two farms have 550 acres. Using an equation,find the number acres that each farm has.
Thank you.

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Question 196881: Please help me justify my answer with 'Algebra'
Mr Dean gives 'Mars Bars' to students that solve his 'Problem of the Day'.
In the last few weeks, this has cost him 18 Mars Bars altogether, no two of the five students who won them received the same number of Mars Bars. However, one clever student got as many as three of the others combined.
How were the Mars Bars distributed amongst the 5 winners?
I know the answer is 1,2,3,4 and 8 but I have to show algebraically that there is only ONE possible solution. How do I do this?

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Question 197022: The quotient of a number and four is 36. Find the number
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Question 197152: a rock is dropped from a 256 ft cliff the height in feet, of the rock above the water after t seconds is described by the polnomial 256-16t^2. factor this expression completely.
i am really confused with this whole factoring polynomials and these word problems have really stumped all help is greatly appreciated thank you tanya

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Question 197579: 94)
Sharing cost. The members of a flying club plan to share
equally the cost of a $200,000 airplane. The members
want to find five more people to join the club so that the
cost per person will decrease by $2000. How many members
are currently in the club?

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Question 198128: three apples and five grapes cost $1.70; five apples and three grapes cost $2.46. What is the cost of one grape?
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Question 198970: American Products plans to lay off 10% of its employees in its aerospace division and 15% of its empolooyees in its agricultural division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
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Question 199066: I submit this problem three times and she stated that it is still incorrect please help.
1.Write the following compound statement in symbolic form
Let p: Today is Friday.
q: Tomorrow is not the day to go shopping.
If tomorrow is not the day to go shopping, then today is not Friday.

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Question 199076: A flower bed is in the shape of a triangle with one side twice the length of the shorter side, and the third side is 22 feet more than the length of the shorter side. Find the dimensions if the perimeter is 170 feet.
a=______feet (shorter side)
b=______feet (second side)
c=______feet (third side)

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Question 199069: again I need your help on this problem please show me the correct way to do this thank you

1.Determine whether the argument is valid or invalid.
A tree has green leaves and the tree produces oxygen.
This tree has green leaves
------------------------------------------------------------------------
 This tree produces oxygen.

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Question 199641: You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? I'm having a hard time figuring out where to place everything, I know it's DxRxT promblem.
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Question 199746: area of a sale. The area of in square meters for a triangular sale is given by A(x)=x^2+5x+6 Find A(5), if the hignt of the sail is x+3 meters, then what is the lenght of the sail?
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Question 199746: area of a sale. The area of in square meters for a triangular sale is given by A(x)=x^2+5x+6 Find A(5), if the hignt of the sail is x+3 meters, then what is the lenght of the sail?
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Question 200426: marys hourly wage is twice that of johns. johns and dennis wade totals 60. if dennis earns 1/3 of johns rate what does mary make and hour?
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Question 200423: three batteries are connected in series so that the total voltage is 54. the voltage of the first battery is twive the voltage of the second and 1/3 the voltage of the thrird battery. find the actual voltage of each battery
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Question 200424: the length of a rectangle is 3 times the width. the difference between the lenght and the width is 8 feet determine the rectangle?
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Question 200425: three times a larger number added to 4 times a smaller number totals 24. when twice the samller number is subtracted from the larger number the result is two. what are the two numbers
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Question 200806: what are the steps i need to take to solve this algebraically
4- x/x-2= -2/x-2

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Question 201837: Bonnie has three types of weights. Barbells all have the same weight. Doughnuts all have the same weight. Spheres all have the same weight.. She does not know haw much each eaight weighs but she does know, a barbell and two spheres weigh 24lbs, a barbell, 2 doughnuts and 2 spheres weigh 34 lbs, and 2 barbells, 1 doughnut and 1 sphere weigh 32 lbs. How much do the individuals weigh?
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Question 201837: Bonnie has three types of weights. Barbells all have the same weight. Doughnuts all have the same weight. Spheres all have the same weight.. She does not know haw much each eaight weighs but she does know, a barbell and two spheres weigh 24lbs, a barbell, 2 doughnuts and 2 spheres weigh 34 lbs, and 2 barbells, 1 doughnut and 1 sphere weigh 32 lbs. How much do the individuals weigh?
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Question 202148: angle a and angle b are complementary angles.if one angle is 15 degree more than 2 times the other.find the measure of two angles
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Question 202162: A number increased by 8 is the same as 3 times the number. find the number.
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Question 202164: When 3 times the sum of 4 and an unknown number is subtracted from 10 times the unknown number, the result is equal to 5 times the sum of 9 and twice the unknown number. Find the number.
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Question 202164: When 3 times the sum of 4 and an unknown number is subtracted from 10 times the unknown number, the result is equal to 5 times the sum of 9 and twice the unknown number. Find the number.
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Question 202759: the difference of 207, and five times a number is the same as the sum of 20 and one half of that number. find the number.
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Question 202956: a 33 inch wooden board is cut into two pieces. The longer piece is 3 inches less than twice the other piece. find the shorter piece.
when 10 is added to one-third of a number, the result is the same as if eight had been subtracted from twice the number.

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Question 203207: Hello:
I am trying to solve this problem, but i am having a hard time setting up the equation. if you can help me that would be great.
Alex is 8 years younger than his sister. His mother is 6 years more than twice of his sister’s age. His mother is 42 years old.
Find the ages of Alex and his sister.

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Question 203207: Hello:
I am trying to solve this problem, but i am having a hard time setting up the equation. if you can help me that would be great.
Alex is 8 years younger than his sister. His mother is 6 years more than twice of his sister’s age. His mother is 42 years old.
Find the ages of Alex and his sister.

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Question 203210: Hello:
If someone can help, I am sooo stuck on this problem
3/5√x + x^3 if x = 16
Thank you,
Lcarl

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Question 203209: Alex is 8 years younger than his sister. His mother is 6 years more than twice of his sister’s age. His mother is 42 years old. Find the ages of Alex and his sister.
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Question 203209: Alex is 8 years younger than his sister. His mother is 6 years more than twice of his sister’s age. His mother is 42 years old. Find the ages of Alex and his sister.
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Question 203302: A plane travels at a speed of 220mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind it takes 1 hour more time to complete the return trip. What was the wind velocity. Round to nearest tenth.
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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