Questions on Algebra: Proportions answered by real tutors!

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Question 52050: I have the problem with this question. Please help.

Question
A passenger train travelled at a speed of 72 km/h. A man on the passenger train observed a goods train travelling at a speed of 54 km/h in the opposite direction. If the goods train passed him in 8 seconds, find the length of the good train. (Hint : Model the problem and draw a diagram).
Thank you in anticipation.
CH Lam

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

Question 52051: To whom may it concern,
I couldn't solve this problem. Please help.
Question
Steven left Town A and walked towards Town B at a speed of 100 m/min. At the same time, Jason and Melvin started from Town B and walked towards Town A at a speed of 80 m/min and 75 m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B.
Thank you very much.
CH Lam.

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

Question 52049: I have the following question that needs your asistance.
Question
Five identical balls are marked with 7, 3, 4, 2 1 and are placed in a box. The balls are thoroughly mixed before three balls are drawn out at one time from the box. A score is obtained by adding the numbers on the three balls drawn. Find out how many different scores are possible and the possible scores.
Thank you very much.
CH Lam

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

Question 52315: Write as an algebraic expression: two plus the product of 5 and m .
If you could tell me the answer and explain it. I would appreciate it. Thanks

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Question 52909: In my class today, we learned rates. Here is one of my problems: 55mi/h=?ft/s I have no clue what to do. I wrote out 55mi * ____ = ____ft
1 h s
What am I supposed to do next?

Click here to see answer by rchill(405) About Me 

Question 52944: A student places 2.5 grams of salt in 90 ml. of water. She then transfers 30 ml. of that solution to an evaporating dish. How many grams of salt are in the 30 ml. of solution?
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Question 53125: 45 is what percent of 180?
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Question 53478: what amount of each mixture, one 95% alcohol and the other 15% alcohol , must be used to make 10 liters of a mixture which is 45% alcohol what equation or equations will express this problem ? i chose this one is it right 0.95x + 0.15(10-x)=0.45x10 if not could you show me the right one
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Question 53534: At Annville high school,30% of the students in the Math club are in the Science club, & 80% of the students in the science club are in the math club. There are 15 students in the science club. How many students are in the math club?

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Question 53882: x-1/3 = x+1/5

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Question 53999: 75 is 12% of what number?
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Question 54094: The state of Alabama is about 335 miles long and 210 miles wide. What scale would you use to draw a map of Alabama on an 8 and a 1/2 inch by 11 inch paper to make the map as large as possible??? Thanks a lot!
Click here to see answer by Nate(3500) About Me 

Question 54091: Hey y'all here is my problem.
A 2 inch length in a scale drawing represents an actual length of 24 feet. What is the scale of the drawing???? I have no idea what to do.. Many thanks if you can solve it!

Click here to see answer by THANApHD(104) About Me 

Question 55388: This is the question. A theater sold 480 tickets for a play last night. Floor seats sold for 30$ each and balcony tickets sold for 24$ each. The total amount collected for the 480 tickets was $13,200. How many seats of each type were sold? thanks
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Question 55541: glory iherited 10% of her farthers 40,000 estate. how much was her share
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Question 55541: glory iherited 10% of her farthers 40,000 estate. how much was her share
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Question 55640: 2X-3/3=3x+2/5
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Question 55653: A basketball team has won 10 games & lost 2. If the team wins the remaining games they will have won 90% of all the games played. How many games are left to play?
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Question 55968: 20/18=75/w
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Question 56306: Find the dimensions of a rectangular region with the maximum area that can be enclosed by 60 feet of fencing.
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Question 56394: The actual distance between two towns is 28km. Suppose you measure the distance on your map and find that it is 3.5 cm. What is the scale of your map?
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Question 56304: A city block 500 feet by 500 feet has a large building 300 feet by 400 feet in the NW corner. The rest of the block is an unobstructed paved lot. What's the shortest distance from the SW corner to the NE corner of the city block, going through the paved lot (to the nearest foot)?
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Question 56305: A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that Westburg us still 35 miles away because the heading was off by a few degrees. How many degrees was the heading off the desired course (to one decimal place)?
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Question 56937: 14 is 20% of what number?

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Question 55852: Is 14798678562 a perfect square? Is 15763530163289 a perfect square?

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Question 57603: 19 is 95 % of what number?
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Question 57603: 19 is 95 % of what number?
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Question 58804: A shopkeeper sold 100 fruits (3 types). Apple was sold for 10 cents each,Banana 1 Euro each and Orange sold for 3 Euro each. The total amount collected for the 100 fruits was 100 Euros. How many fruits of each type were sold? thanks
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Question 58839: In a resort area during the summer months, only one out of eight people is a year-round resident. the otheres are there on vacation. if the year-round population of the area is 3000, how many people are there in the summer?


plz help me? with either this one or the other.

Click here to see answer by rcmcc(152) About Me 

Question 58837: Write a proportion for each problem, and solve for the unknown number.
A. Leaf-cutter ants live in central and south america weigh about 1.5grams. One ant can carrry a 4gram piece of leaf that is about the size of a dime. If a person could carry proportionally as much as the leaf-cutter ant, how much could a 55-kilogram algebra student carry?
B. The leaf cutter ant is about 1.27cm long and takes strides of 0.84cm. If a person could take proportionally equivalent strides, what size strides would a 1.65-m-tall algebra student take?
C. The 1.27-cm-long ants travel up to 0.4 km from home each day. If a person could travel a proportional distance, how far would a 1.65-m-tall person travel?

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Question 58871: What is the base and height of a triangle if the area is 98 meters squared and the height is 3/4 of the base?
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Question 58870: A^2 = x ------ (1)
4A^2= x+147 ------ (2)
(2)-(1) implies 147=3A^2 implies A^2=49 implies A=7 i.e,length of the sides = 7 cms

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Question 58863: jeremy has a job at the movie theater. his hourly wage is $7.38 suppose 15% of his income is with hield for taxes and social security.

A. what percent does jeremy get to keep?

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Question 58982: When u have a problem like 7 is 175% of what number. How many places do you have to move the decimal to find the is or the of. I know when you find the percent you have to move the decimal to the right 2 times to add the decimal and the left to subtract the decimal but how many places do you have to move to find the is or of?
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Question 59278: namethree fraction whose decimal equivalent is 0.40.
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Question 59278: namethree fraction whose decimal equivalent is 0.40.
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Question 60645: A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat?




11. Simplify

2x-1/5 + x/6+ 8-3x/10

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Question 61598: 6. Use the fact that 1inch= 2.54 centimeters to answer each question.
A Don is 67 inches tall. How many centimeters tall is he?
B.Amira's pencil is 13.5 centimeters long. How many inchel long is it?

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Question 61619: 3. A team of biologists captured and tagged 85 deer in a forest. Two weeks later, the biologists captured a sample of 36 deer from the same forest and found that 4 of them were tagged. Use this information to estimate the number of deer in the forest.
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Question 61624: 7. Use dimensional analysis to convert 60miles per hour to feet per second. Remember that there are 5280 feet in 1 mile.
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Question 61633: -5/c=1/3
-6/13=8/(x+1)
(r+2)/7=5/7

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Question 62321: HELLO MY SON HAS A QUESTION ABOUT SOLVING THIS PROPORTION USING MENTAL MATH. 18 OVER 32=M OVER 36. HOW DO WE FIGURE THIS OUT AND CAN YOU TELL US HOW YOU CAME UP WITH THE ANSWER SO THAT WE ARE ABLE TO DO HIS OTHER PROPORTIONS?
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Question 62326: I hope I'm in the right section. I have question about determining volume. Here it is:
What is the volume of a sphere with a 3-mile radius?
V = 4/3 x pi x r3
V = 4/3 x 3.14 x 3 (to the third power)
V = 4/3 x 9.42 (to the third power)
V = 12.56 mi (to the third power)

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Question 62349: how do you cross multiply when there is a variable in the equation
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Question 62329: Re: Width of a crater if cits circumference is 12.3 miles:
12.3 (C) = 3.14d
12.3 3.14d
---- = -----
3.14 3.14d
= 3.9 width

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