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

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Question 393051: Triple a number, minus the sum of the number and ten
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Question 394024: if the base of a rectangle is 24.3 cm and the area is 580.77 cm2, what is the height of the rectangle?
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Question 394403: Seven more than nine times a number is 106
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Question 394493: if 20 is added to one-third of a number, the result is the double of the number. What is the number?
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Question 394645: Bill can row 3mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.
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Question 394667: The sum of two numbers is 28. One number is 3 times as big as the other. What is the smaller number?
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Question 394615: In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?

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Question 394643: A rectangular garden has dimensions of 15 feet by 9 feet. A gravel path of equal width is to be built around the gard. How wide can the path be if there is enough gravel for 432 ft^2?
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Question 394640: The sum of a student's three scores is 217. If the first is 16 points more than the second, and the sum of the first two is 28 more than twice the third, what was the first score?
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Question 394611: A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than an apple, how much does each fruit cost?


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Question 394627: Please help me solve this word problem, or at least set it up for me to solve.
A recent television commercial about cholesterol claimed that by using their pills, at least one individual lowered his cholesterol levels by 18%...a drop of 30 points! What was the original cholesterol level?

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Question 394639: The owner of Nuts2U snack shack mixes cashews worth $6.25 a lb with peanuts worth $2.00 a lb to get a half-pound mixed nut bag worth $1.70. How much of each kind of nut is included in the mixed bag?

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Question 394613: The final grade for a particular course is calculated by dividing total points earned by total points available. There are 120 points available in the first half of the course, and 140 points in the second half of the course. If a student earns 81% in the first half of the course, how many points must the student earn in the second half in order to earn an 80% B final grade?

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Question 395119: You have a large piece of construction paper that is 138 cm wide and 90 cm long you need squares of construction paper so you planning to cut this into smaller piece
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Question 395576: Hi my name is Liz and I would like to know if you can help me solve this problem: a piece of wire that is 100 cm long is to be cut into two pieces, each to be bent to make a square. The lenght of a side of one square is to be twice the length of the other. How should the wire be cut?
Click here to see answer by robertb(5830) About Me 

Question 396350: The sum of ten and the quotient of three and a number?
This is what I have:
5 + 5 + 1/3 + x OR
a + b + y/z + x
Am I on the right track? Thanks for any help you can provide.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 396657: If the sum of 2 numbers is 12 and their product is 32, what are the numbers?
Let x = one number
Let 12-x = the other number
x(12-x) = 32
-x^2 + 12x + 32
(x + 8) (x + 4)
The two numbers are (8, 4)
Substitution: 8(12-8) = 8(4)=32

Click here to see answer by ewatrrr(24785) About Me 

Question 396646: If the sum of 2 numbers is -14 and their product is 32, what are the numbers?
Let x = one number
Let x - 14 = the other number
x(x - 14) = 32
x^2- 14x + 32
(x - 6) (x-8)
The two numbers are -8 and -6
I know that -8 + -6 = -14 but when I plug in the numbers that do not equal 32. What am I not doing correct?

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

Question 397327: A wealthy man goes to work each morning, driven by his chauffeur to a ferry. When the man returns from work in the late afternoon, the chauffeur leaves the house at the right time to meet the ferry as it docks. One day, the man decides to take a ferry that leaves one hour earlier than his usual ferry. When the ferry docks, his chauffeur is not there and he begins to walk home. Eventually, the chauffeur meets him on the road and drives him back home where they arrive 15 minutes earlier than usual. How many minutes was the man walking along the road?
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Question 397454: If Jason read x pages on Wednesday, twice as many pages on Thursday as on Wednesday, and three pages more on Friday than on Thursday, what was Jason's average number of pages read over those three days?

So far I get X = Wed, 2X = Thurs and 2X+3 = Fri
X + 2X + 2X +3 = total
5X + 3
and now I'm stuck
Thanks for the help!

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Question 397808: difference between two numbers is 140, the larger number is 6 times the smaller number
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Question 397746: 1) Give yourself 100# for the 5 feet plus 5# for every inch over 5 feet tall. Using this description. What height corresponds to a recommended weight of 135#?
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Question 398035: translate this to a mathematical equation and solve. Please show all of work. In four rounds of a card game, you get scores of -3, 9, 8 and -3. What is your final score?
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Question 398127: Problem shown and given in class - I understand everything down to
x = 2/(1/40 - 1/45)*60 <--- How did they get 12 out of this? Please and thank you!
x = 12 miles
Foster drove to work on Monday at 40 mph and arrived one minute late. He left at the same time on Tuesday, drove at 45 mph, and arrived one minute early. How far does Foster drive to work?
40 mph = 2/3 mi/minute
45 mph = 3/4 mi/minute
The difference in time is 2 minutes
x/40 - x/45 = 2/60
x(1/40 - 1/45) = 2/60
x = 2/(1/40 - 1/45)*60
x = 12 miles

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

Question 398210: I am being confused with the formula for figuring out the distance and time in this problem. Please help me with this.
Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she was ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was three hours, how far away did her friend live?
Thank you for your time.

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Question 398208: I need help in trying to understand exactly what formula I need to find the answer to this problem.
A real estate investor bought acreage for $7200. After reselling three-fourths of the acreage at a profit of $30 per acre, she recovered the $7200. How many acres did she sell?
Thank you for your help.

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Question 398749: hello my name is Liz and I need help solving this y=x and I need to plot at least 6 point for my graph
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Question 398852: One serving of Cornies breakfast cereal contains 2 grams of protein and 25 grams of carbohydrates. One serving of Oaties breaks cereal contains 4 grams of protein and 20 grams of carbohydrates. How many servings of each would provide exactly 24 grams of protein an d210 grams of carbohydrates?
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Question 399357: Yolanda bought 4 1/2 yards of material. She bought 1 yard less of blue material then green material. How much of each material did she buy?
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Question 400549: Can you help me translate into an algebraic equation
Twice Fred's income less fifty thousand dollars is eight thousand dollars

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Question 400548: I have to translate into an algebraic equation
two thirds of the difference of six times a number and four

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Question 400960: find two numbers whose product is 12 such that one of the numbers is four less than eight times the other number?
Click here to see answer by algebrahouse.com(1659) About Me 

Question 400979: Pablo, Faustina, and Mark swim at a public pool each day for exercise. One day Pablo swam 5 more than 3 times as many laps as Mark, and Faustina swam four times as many laps as Mark. If the men swam 29 laps altogether, how many laps did each one swim?
What I have done:
29=5+3m
24=3m
24/3=3m/3
7=m
Pablo swam 7 laps
29=4m
29/4=4m/4
7 1/4=m
Faustina swam 7 and 1/4 laps
29-7=22-7 1/4=14 3/4
Mark swam 14 and 3/4 laps

Click here to see answer by rapaljer(4671) About Me 

Question 400986: Find the measure of an angle if the measure of the angle is 8 degrees less than three times the measure of its supplement.
What I have done:
x=8-3(90)
x=8-270
x=-262

Click here to see answer by algebrahouse.com(1659) About Me 

Question 401018: a room contains 54 chairs. the number of rows is 3 less than the number of chairs per row. find the number of rows.
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Question 401045: there are 10 times more ants than mice and 4 times more mice than chickens. All together they have 1,806 feet. How many chickens are there?
Please show all work

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Question 401160: A social club charters a plane at a cost of $34848 to take a group of members on an excursion to Atlantic City. At the last minute, 11 people in the group decide not to go. This raises the transportation cost per person by $24 . How many people originally intended to take the trip?
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Question 401380: 2 more than 5
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Question 401260: equation for a $15,000 car loan, 36 month, 20% down and installment of $500 a month
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Question 401809: Hi my name is Liz and I really need help on this one determine whether the graph of the given numbers are parallel: 2x-7=y and y-2x=8
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Question 401949: I have a word problem: Mrs. Lewis made treats for her class. She made 14 brownies and some maple bars. The brownies made up 35% of her treats. How many bars did she make, and what percent of the total treats is that?
So my work translating it is to find "x" if 14 = 35/100 (x)
That is where I am stuck. I know that if 14 was 1/3, then 28 would be 2/3. I have to figure out the procedural steps. Once I find "x" then I can finish the problem.
Thanks!
Em

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Question 401974: write an equation of the line containing the given point and parallel to the given line: (3,7); x+2y=6
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Question 402275: Translate the sentence into a mathematical equation
The total revenue derived from selling x dishwashers is $120 per dishwasher times the number of dishwashers sold.
Let R represent the revenue and x the number of dishwashers sold

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