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

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Question 437520: Tasty Bakery sells three kinds of muffins:chocolate chip muffins at 35 cents each, oatmeal muffins at 40 cents each, and cranberry muffins at 45 cents each. Charles buys some of each kind and chooses twice as many cranberry muffins as chocolate chip muffins. If he spends $4.90 on 12 muffins, how many oatmeal muffins did he buy?
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Question 438106: the difference between twice a number and 11 is -23

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Question 439470: What expression represents the enrollment of a school that starts the school year with 825 students and, during the year, x students move away and y students move in?
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Question 439624: A coin purse contains 19 coins in nickels, dimes, and quarters. There are three times as many quarters as dimes. The total value of all the coins is $2.90. How many nickels, dimes, and quarters are in the coin purse?
I've gotten this far:
Let x equal the nickels
Let y equal the dimes
Let Z equal the quarters
X+Y+Z = 19
X+y+3z = 2.90
I can't figure out where to go from there.

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Question 439899: Translate not more than 50 feet into an algebraic expression
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Question 439899: Translate not more than 50 feet into an algebraic expression
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Question 442286: translate 2 less than some number

Let x represent the number, then the expression is x-2.

would 2-x be the right translation for the above example?



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Question 443161: If a Trustee is making a distribution of assets of a trust as follows:
10% to A
45% to B
45% to C
and if C predeceses the Grantor, the Grantor would want the total distribution to A to be 35% of the total trust and B to be 65% of the total Trust. What percentage of C's 45% would need to be distributed to A and to B?
What I got>
If A has 10% of 100% of distribution
and B has 45% of 100 of distribution
what portion of 45% of 100% of distribution would give A 35% of 100% of distribtuion and B 65% of distribution
D= 1000
A = 10% or $100
B = 45% or $450
C = 45% or $450
if C predeced Grantor, C's 45% would go 55.5% to A = $249.75 and 45.5% to B = 200.25
A = $100 plus $ 249.75 for 349.75 or 35% of $1000
B = $450 plust $200.25 for 650.25 or 35% of $1000
Please adivise if this is correct or if I am not understanding the math.

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Question 444041: Maaz Munir invested 7000 part at 7% and the other at 11% if his total return for one year was 690 how much was invested at each rate
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Question 446005: What is the sum of a number and its square is 110?
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Question 446314: six times the reciprocal of a number equals three times the reciprocal of six. Find the number
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Question 447016: If 7182 roses were killed in last night's frost and this was 2 5/8 as many as the night before how many roses were killed the night before?
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Question 447305: If 2 is added to a number and the sum is tripled, the result is 18 more than the number .find the number
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Question 448496: I need assistance in finding the dimensions. When I work the problem I keep getting a fraction in the answer. How do I find the dimensions?
The perimeter of a rectangular oceanfront lot is 190m. The width is one fourth of the length. Find the dimensions. thank you

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Question 448813: The ages of a mother and daughter are the same but the digits are reversed.Twelve years ago, the mother was twice as old as the daughter. How old are they now?
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Question 449615: three times the difference of x and 5 is more than y.
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Question 449801: Two out of every 9 students were accepted into the marching band. If 225 students applied, how many were accepted?
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Question 450606: If one laborer works 5 hours less than another and total hours worked by two laborers is 28 hours, how much did each laborer work?

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Question 450608: If one container holds four more gallons than the other and the total number of gallons in both containers is 30, find the number of gallons in each container.
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Question 450623: Two angles are complementary. One angle measures 10 degree more than three times the measure of the other angle. Find the measure of each angle.
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Question 450621: Two cars leave town at the same time going in the opposite direction. One travels 35 mph and the other travels 49 mph. In how many hours will they be 126 miles apart?
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Question 450624: The perimeter of a rectangle is 56 cm. The length is 8 cm less than twice the width. Find the length and the width.
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Question 450619: The difference between two numbers is 9. The smaller number plus the larger is 25. What are the numbers?
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Question 451599: In the 2004 Summer Olympics in Athens, Greece, the USA earned 6 more gold medals than bronze. The number of silver medals earned was 19 less than twice the number of bronze medals. The USA earned a total of 103 medals. How many of each kind of medal did the USA earn?
I have worked on this for hours, and my mind has now gone blank. Can you please help?

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Question 452008: the sum of 2 consecutive reciprocals of 2 consecutive even integers is 9/40. what are the integers?
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Question 452654: Sam takes 6 days less than the number of days taken by John to complete a piece of work. If both Sam and John together can complete the same work in 4 days. In how many days will john complete the work?
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Question 453284: seventeen less than the product of two numbers
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Question 454271: 8 friends went to the lake. some paid 4 dollars for tickets to the water slide the rest paid 7 dollars each for boat ride rentals the group paid 38 dollars in all. how many friends rented boats.
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Question 454272: sal bought some post card. if he send the same number to each of 6 friends, he will have none left over. if he sends the same to 7 friends he will have 3 left over. how many post card did sal buy?
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Question 455060: . Essay; show all work. Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 3x^3 + 6x^2 + 3x + 3. The shop estimates their costs for that quarter to be given by 9x^2 – 6x + 5. For the second quarter, find and simplify a polynomial that will represent their profit
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Question 455232: Twice the sum of two numbers is 28. The sum of the squares of the two numbers is 100. What is the product of the two numbers?
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Question 455225: A number X is five more than two times X minus three? How do I write this and solve this?
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Question 455666: If the US Senate, with 100 members, contains 20 more Democrats than Republicans, how many Democrats does it contain?
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Question 455688: A farmer wants to fence in three sides of a rectangular field with 1,000 feet of fencing. The other side of the rectangle will be the river. If the enclosed area is to be maximized, find the dimensions of the field.
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Question 456075: A bag contains 2 red marbles,4 green marbles, and 4 blue marbles. You choose one marble at random, put the marble back into the bag, then choose a second marble at random. what is the probability that you choose 2 red marbles?
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Question 456569: This problem has me a little confused and was wondering if someone could help out! (3x + 1)(x squared - 9x +2)
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Question 456646: I am a little confused on this. I know I divide by 3x + 2 but I get confused on the signs and if they should be changed to - or + If someone could give me a few pointers it would be greatly appreciated. This is the problem(3x squared - 10x - 8) divided by (3x + 2)
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Question 456955: Help me solve this problem? Nine less than 3 times a number, divided by 4, is 21.
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Question 457079: If anyone can show the steps taken to complete this problem it would begreatly appreciated. I have been out of school for quite awhile and am still drawing a blank. (x-3)(2x-7)=0
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Question 457079: If anyone can show the steps taken to complete this problem it would begreatly appreciated. I have been out of school for quite awhile and am still drawing a blank. (x-3)(2x-7)=0
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Question 457372: you have 60 percent of a bottle of raspberry syrup remaining. If 10 fluid ounces were used, how many fluid ounces did the bottle originally hold?
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Question 457574: This problem has me a little stumped. (3x - 3.5) - (x + 1.8)
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Question 457624: With this problem (5x- 6) - (2x - 3) do I multiply to get 10x2-15x-12x+18 or just do simple subtraction?
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Question 457624: With this problem (5x- 6) - (2x - 3) do I multiply to get 10x2-15x-12x+18 or just do simple subtraction?
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Question 457837: x^2 + 6 = -5x
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