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

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Question 26118: I'm having with this problems also.
The second ngle of a triangular building lot is three times as large as the first. The third angle is 10 degree more than the sum of the other two angles. Find the measure of the third angle.
I also tried this one out and didn't know where to start. so far i got:
x+3x+10=180
when i worked out the problem, it didn't look like the right answer. Please help!

Click here to see answer by mathrebel(25) About Me 

Question 24080: Where on this site can I find Pi info?
Click here to see answer by stanbon(75887) About Me 

Question 26553: Find two consecutive even integers such that 3 times the smaller is 8 more than 2 times the larger.
Please help me translate into an equation and solve.
I know that it would be x for the smaller
and x + 2 for the larger, but I'm stuck after that.

Click here to see answer by Paul(988) About Me 

Question 26566: Two airplanes leave Dallas at the same time and fly in opposite directions. One airplane travels 80 miles per hour faster than the other. After three hours, they are 2940 miles apart. What is the rate of each airplane?
Click here to see answer by Paul(988) About Me 

Question 26564: An advertisement for a pineapple drink claims that the drink contains 15% pineapple juice. How much pure pineapple juice would have to be added to 8 quarts of the drink to obtain a mixture containing 50% pineapple juice?
Click here to see answer by Paul(988) About Me 

Question 26923: a passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. if the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
Click here to see answer by Paul(988) About Me 

Question 26922: if one-half of one integer is subtracted from three-fifths of the next consecutive integer the difference is 3. what are the two integers?

Click here to see answer by mbarugel(146) About Me 

Question 27162: A molecule of octane has 26 atoms. If there are 6 fewer hydrogen atoms than 3
times the number of carbon atoms, how many atoms of each does it contain?
What is the solution?

Click here to see answer by Paul(988) About Me 

Question 27163: one number is four less than three times another. if their sum is increased by five,the results is twenty-five. find he numbers
Click here to see answer by Paul(988) About Me 

Question 26664: There is a certain number such that 1/3 of the number, plus 1/4 of the number, plus 1/5 of the number is less than the number itself. What is the number?
I made x my variable. Would I have to find the common den. of the fractions to add them? Also, I don't know how to solve the problem when the variable is a subtraction on the one side of the equal sign and the variable is in a multiplication situation on the other side. I was taught to use the opposite operation but it doesn't work in this case.

Click here to see answer by venugopalramana(3286) About Me 

Question 27851: Question: At Niagra falls, the American Fallas are two metres higher than the Horseshoe Falls. The sum of their heights is 116m. How high are the horseshoe falls?
My attempt to answer it:
HorseshoeFalls = h
American Falls = h + 2
h + h + 2
= 2h + 2
2h + 2 = 116m
h + 2 = 116/2
h + 2 = 58
h = 58 - 2
h = 56
Therefore:
HorseshoeFalls = h = 56
American Falls = h + 2 = 56 + 2 = 58
58m + 56m = 114m
I can't seem to get it right. If you'd please help solve my question it would be greatly appreciated.


Click here to see answer by Paul(988) About Me 

Question 28526: I KEY IN ORDERS AT A 98% ACCUARCY RATE, I COMPLETED 451 CALLS, HOW MANY MISTAKES CAN I MAKE TO REACH MY GOAL?
Click here to see answer by josmiceli(19441) About Me 

Question 28693: In cross-country, a team's score is the sum of the place numbers of the first five finishers on the team. The co-captains finished first and fourth in the meet. The next three finishers on the team placed in consecutive order. The team score was 35.
a. Write an equation that represents this situation.
b. In what places did the other three members finish?

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Question 28723: I am supose to find an algebraic expression for the quantity in italics. I will place parenthises around the italic word in this problem.
The (length)of a rectangle, given that it's width is w feet and it's lenght is 3 feet shorter than twice the width.
Can you show me how to work this out to find what the algebraic expression would be?
Thank you for any help you can give me.
Linda

Click here to see answer by pwac(253) About Me 

Question 28777: A bag contains three varieties of marbles. Blue, green, and yellow. There are 18 more blue marbles than there are green marbles and there are 14 more green marbles than there are yellow marbles. The total number of marbles is 112. Show how to find the number of marbles of each variety by letting a variable represent one of the unknown quantities.
Click here to see answer by Paul(988) About Me 

Question 29059: The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
Click here to see answer by josmiceli(19441) About Me 

Question 29519: A local music store is having a sale. A guitar that originally sold for $267 is now discounted by $26.70. A $30 tuner is now marked $3 off. An $80 harmonica is selling for $72. If the markdown rate remains the same, for how much will a $365 drum be selling?
Click here to see answer by Lal(16) About Me 

Question 29555: If 4 apples and 2 oranges equal $1 and 2 apples and 3 oranges equal $0.70, how much does each apple and each orange cost?
Click here to see answer by ikdeep(226) About Me 

Question 30348: Sharon works in a bookstore where she has been alotted $25,000 to puchase either hardcover books at $12 each, or softcover books at $3 each, or some combination or both. If Sharon decides to buy 4,500 softcover books, how many hardcover books can she afford.
Click here to see answer by mukhopadhyay(490) About Me 

Question 30471: In What postive base B does the equation 4*12=103 for multiplication of base B hold?
Click here to see answer by longjonsilver(2297) About Me 

Question 30430: In What postive base b does the equation 4*12=103 for multiplaction of base b hold?
Click here to see answer by Fermat(136) About Me 

Question 30640: Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by Paul(988) About Me 

Question 29520: A used car salesman buys a car for $2500 and sells it for $4327. He then buys a camper with two-thirds of his profit and sells the camper for twice what he paid for it. How much money did the salesman make during these transactions?
Click here to see answer by checkley71(8403) About Me 

Question 30804: Sabrina’s boss state that she will increase Sabrina’s salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?
Click here to see answer by checkley71(8403) About Me 

Question 28898: A local music store is having a sale. A guitar that originally sold for $267 is now discounted by $26.70. A $30 tuner is now marked $3 off. A $80 harmonica is now selling for $72. If the markdown remains the same, for how much will a $365 drum be selling for?
Click here to see answer by Fermat(136) About Me 

Question 31517: It takes John 3 hours to clean the garage of his house. Find his work rate of the job per hour. Your answer is supposed to be a fraction.
Click here to see answer by mukhopadhyay(490) About Me 

Question 31770: Mary and Tiffany left their university for their homes at the same time. Mary's home is 285 miles from the university and Tiffany's home is 220 miles from the university. When Mary came home she called Tiffany and she found that Tiffany arrived at her home at the same time as Mary got to her home. If Mary drove 57 mph, How fast did Tiffany drive in mph? Attach the unit mph to your answer
Click here to see answer by atif.muhammad(135) About Me 

Question 31772: Tom can ride 36 miles in the same time that Jerry can ride 24 miles. If Tom ride 9 mph faster than Jerry, find the speeds of Tom and Jerry in mph. Your answers are expected to be integers. Put Tom's speed in the 1st box and Jerry's speed in the 2nd box. Put the unit mph after your answer.
Click here to see answer by checkley71(8403) About Me 

Question 31773: An express train can ride 114 miles in the same time that a freight train can ride 96 miles. If the express train 27 mph faster than the freight train, find the speeds of the express train and the freight train in mph. Your answers are expected to be integers. Put the express train's speed in the 1st box and the freight train's speed in the 2nd box. Put the unit mph after your answer.
Click here to see answer by stanbon(75887) About Me 

Question 31769: Mary and Tiffany left their university for their homes at the same time. Mary's home is 285 miles from the university and Tiffany's home is 220 miles from the university. When Mary came home she called Tiffany and she found that Tiffany arrived at her home at the same time as Mary got to her home. If Mary drove 57 mph, How fast did Tiffany drive in mph? Attach the unit mph to your answer
Click here to see answer by Paul(988) About Me 

Question 31771: ) Tom and Jerry are salespersons in ABC company. Yesterday each of them were sent to important customers who work in diferent cities. They left the company at 10 am. When Tom arrived at his customer's office, which is 230 miles from his company, he called Jerry and he found that Jerry arrived at the other customer's office at the same time. If Tom and Jerry drove at 46 mph and 55 mph, respectively, how far is Jerry's customer's house from ABC company in miles? Attach the unit mi to your answer.
Click here to see answer by Paul(988) About Me 

Question 30643: Melinda’s lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?

Thanks!!

Click here to see answer by checkley71(8403) About Me 

Question 32218: a projectile is fired at an inclination of 45o to the horizontal, with a muzzle velocity of 100 feet per second. the height h of the projectile is given by h(x)= -32x2 over (100)2 + x
where x is the horizontal distance of the projectile from the firing point.
How far from the firing point is the height of the projectile a maximum?
find the maximum height of the projectile?
how far from the firing point will the projectile strike the ground?
when the height of the projectile is 50feet above the ground, how far has it traveled horizontally?

Click here to see answer by venugopalramana(3286) About Me 

Question 32308: Chris drove 756 miles from his home to a town where his girlfriend lives. His speed was 72 mph except on a part of the highway under construction, where he had to slow down. If his total driving time was 12 hours and the part under construction was 324 miles, at what speed did he drive the part under construction in mph? Your answer is expected to be an integer. Put your answer in the answer box. Put the unit mph after your answer.
Click here to see answer by mukhopadhyay(490) About Me 

Question 32307: Jennifer drove 882 miles from her home to a town where her aunt lives. Her speed was 72 mph except on a part of the highway under construction, where her speed was 54 mph. If her total driving time was 14 hours, how many miles did she drive at the slower speed? Your answer is expected to be an integer. Put your answer in the answer box. Put the unit mi after your answer.

Click here to see answer by checkley71(8403) About Me 

Question 32306: An express train can ride 114 miles in the same time that a freight train can ride 96 miles. If the express train 27 mph faster than the freight train, find the speeds of the express train and the freight train in mph. Your answers are expected to be integers. Put the express train's speed in the 1st box and the freight train's speed in the 2nd box. Put the unit mph after your answer.
Click here to see answer by Paul(988) About Me 

Question 32305: Tom can ride 36 miles in the same time that Jerry can ride 24 miles. If Tom ride 9 mph faster than Jerry, find the speeds of Tom and Jerry in mph. Your answers are expected to be integers. Put Tom's speed in the 1st box and Jerry's speed in the 2nd box. Put the unit mph after your answer.
Click here to see answer by Paul(988) About Me 

Question 33136: Keith weighs 20kg more than Beth, while Henry weighs 30kg less than twice as much as Beth. If Keith and Henry weigh the same,how much does Beth weigh(in kg)?
Click here to see answer by mukhopadhyay(490) About Me 
Question 33136: Keith weighs 20kg more than Beth, while Henry weighs 30kg less than twice as much as Beth. If Keith and Henry weigh the same,how much does Beth weigh(in kg)?
Click here to see answer by priya(51) About Me 

Question 33187: A chemist added 90 liters of alcohol solution A to 108 liters of 22 percent alcohol solution to get 37 percent solution. Express the concentration of the solution A in percentage. Put % after your answer.
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Question 33184: Find the amount of alcohol in liters in 300 liters of 22 percent alcohol solution. Attach the unit L for liter after your answer.
Click here to see answer by priya(51) About Me 

Question 33186: A chemist has 344 liters of 12 percent sulfuric acid solution. How much pure sulfuric acid (in liters) must be added to have 14 percent solution? Put the unit L for liter after your answer.
Click here to see answer by checkley71(8403) About Me 

Question 33185: A chemist has 24 liters of 9 percent sulfuric acid solution. How much pure water (in liters) must be added to have 4 percent solution? Put the unit L for liter after your answer.
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Question 33672: One machine in a print shop can produce a certain number of pages twice as fast as another machine. Operating together, these machines can produce this number of pages in 8 minutes. How long would it take each machine, working alone, to producing this number of pages?
Click here to see answer by Paul(988) About Me