Questions on Algebra: Proportions answered by real tutors!

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Question 1179145: $120 is shared among three boys. Tom gets $5 more than Ram who gets $5 more than Chin. How much does Tom get?
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Question 1179146: 2/3 the sum of two numbers is 12. One of the numbers is 10, what is the other number?
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Question 1179240: Solve for the unknown value. Use the three properties of proportion.
(e.g. alternation property, inverse property and cross product property)

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Question 1181170: The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 , respectively and AB =30 cm
What is the length of BD?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1181170: The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 , respectively and AB =30 cm
What is the length of BD?

Click here to see answer by greenestamps(13200) About Me 

Question 1181287: the ratio of cats to dogs in the pet shop is 4 to 7, if a total of 440 cats and dogs are in the shop, how many are cats?
Click here to see answer by ikleyn(52781) About Me 

Question 1181351: A 16=foot board is cut into two pieces. The longer piece 5.5 feet longer than the shorter piece. What is the length of each piece?

Rosa,
Thanks for your help

Click here to see answer by josgarithmetic(39617) About Me 

Question 1182453: A transformer has a secondary voltage of 140 volts and a secondary current of 3.5 amps. If the primary current is 10 amps, what is the primary voltage? (In this case, the voltages and currents are inversely proportional.)
Click here to see answer by ikleyn(52781) About Me 
Question 1182453: A transformer has a secondary voltage of 140 volts and a secondary current of 3.5 amps. If the primary current is 10 amps, what is the primary voltage? (In this case, the voltages and currents are inversely proportional.)
Click here to see answer by mananth(16946) About Me 

Question 1182697: The Statistics Survey Centre has a list of 14 students whom are available for short-term survey work.
In how many ways can the Centre hire at least one of these students for a job?

Click here to see answer by greenestamps(13200) About Me 

Question 1182969: I am trying to solve the following proportion problem:
"If p varies proportionally to s, and p = 6 when s = 3, which of the following equations correctly models this relationship?"
1. p = 2s
2. p = s/3

3. p = s + 3
4. s = 2p
I am trying to understand the phrase "if p varies proportionally to s."

Click here to see answer by Boreal(15235) About Me 
Question 1182969: I am trying to solve the following proportion problem:
"If p varies proportionally to s, and p = 6 when s = 3, which of the following equations correctly models this relationship?"
1. p = 2s
2. p = s/3

3. p = s + 3
4. s = 2p
I am trying to understand the phrase "if p varies proportionally to s."

Click here to see answer by ikleyn(52781) About Me 

Question 1183168: Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the denominator when solving this problem.
Question: "The Statue of Liberty is about 300 feet tall and about 30 feet
wide. The town of Unionville is building a smaller model for
their Fourth of July celebration. Unionville's statue will be 3
feet wide. How tall should Unionville's statue be?

Answer: 300 feet tall = ? feet tall
30 feet wide 3 feet wide
Compare the denominators.
300 feet tall = ? feet tall
30 feet wide 3 feet wide
To get from 30 to 3, divide by 10. Divide the numerator and
denominator by 10 to find how tall the statue should be.
300 feet tall ÷10 = 30 feet tall
30 feet wide ÷10 = 3 feet wide
Unionville's statue should be 30 feet tall."

Click here to see answer by ikleyn(52781) About Me 
Question 1183168: Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the denominator when solving this problem.
Question: "The Statue of Liberty is about 300 feet tall and about 30 feet
wide. The town of Unionville is building a smaller model for
their Fourth of July celebration. Unionville's statue will be 3
feet wide. How tall should Unionville's statue be?

Answer: 300 feet tall = ? feet tall
30 feet wide 3 feet wide
Compare the denominators.
300 feet tall = ? feet tall
30 feet wide 3 feet wide
To get from 30 to 3, divide by 10. Divide the numerator and
denominator by 10 to find how tall the statue should be.
300 feet tall ÷10 = 30 feet tall
30 feet wide ÷10 = 3 feet wide
Unionville's statue should be 30 feet tall."

Click here to see answer by MathLover1(20849) About Me 
Question 1183168: Below is a proportions word problem and the answer. However, I am trying to determine which number,(300 or 30), should be the numerator and which number,(300 or 30),should be the denominator when solving this problem.
Question: "The Statue of Liberty is about 300 feet tall and about 30 feet
wide. The town of Unionville is building a smaller model for
their Fourth of July celebration. Unionville's statue will be 3
feet wide. How tall should Unionville's statue be?

Answer: 300 feet tall = ? feet tall
30 feet wide 3 feet wide
Compare the denominators.
300 feet tall = ? feet tall
30 feet wide 3 feet wide
To get from 30 to 3, divide by 10. Divide the numerator and
denominator by 10 to find how tall the statue should be.
300 feet tall ÷10 = 30 feet tall
30 feet wide ÷10 = 3 feet wide
Unionville's statue should be 30 feet tall."

Click here to see answer by MathTherapy(10552) About Me 

Question 1183451: For testing independence of two variables, one of the variables has two possible categories and the other has three possible categories. The appropriate critical value of chi-square if the test statistic is to be carried out at the 2.5% level of significance is:
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Question 1183453: Are all employees equally proven to having accidents? To investigate this hypothesis, Parry (1985) looked at a light manufacturing plant and classified the accidents by type and by age of the employee.
Age Accident (sprain) Accident (burn) Accident (cut)

Under 25 9 17 5
25 and over 61 13 12

Click here to see answer by greenestamps(13200) About Me 

Question 1183452: Upon leaving an assembly area, production items are examined and some of them are found to be in need of their further work or total scrapping. Tags on a sample of 150 items that failed final inspection show both the recommended action and the identity of the inspector who examined the item. The summary information for the sample is given below:
Recommended action Inspector A Inspector B Inspector C

Major Rework 20 14 13
Minor Rework 18 16 23
Scrap 16 21 9
NB: α = 5%.

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Question 1183471: A random sample of 8 applicants for a certain foreign job is selected. The number of years that these applicants have studied French in high school or university, X, and the mark which they obtained in a proficiency test in French, Y, are recorded. The following information is given: ∑X =32 ∑Y =528 ∑XY=2136 ∑X2 =130 ∑Y2 =34872 Fitting a regression line, which of the following statements is incorrect?
Click here to see answer by MathLover1(20849) About Me 

Question 1183470: An agency is investigating whether a male released from prison makes a different adjustment to civilian life if he returns to his hometown or if he goes elsewhere to live. The data is as follows:
Residence after release from prison
Civilian life (outstanding)
Civilian life (good)
Civilian life (fair)
Civilian life (unsatisfactory)

Hometown 27 35 33 25
No hometown 13 15 27 25
The expected frequency for a person returning to hometown but is unsatisfied, with civilian life, is equal to

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Question 1183469: For a certain chi-square test, the calculated test statistic is 13.50. Assuming 5 degrees of freedom, which one of the following statements is incorrect?
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Question 1183596: a rectangular field contains 2,288 square meters (m²). the ratio of its length to its width is 13:11. what are its dimensions?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1183777: each marble bag sold by the company contains 5 blue marbles for every 3 red marbles. if a bag has 24 red marbles how many blue marbles does it contain
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Question 1183987: If a 1/5 cup serving of Crunchies breakfast food has 0.4​% of the minimum daily requirement of vitamin​ C, how many cups would you have to eat to obtain the minimum daily requirement of vitamin​ C?


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Question 1184658:
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Question 1184747: YOU ARE MAKING JUICE FOR A FRIENDS BIRTHDAY PARTY. YOUR RATIO OF WATER TO ORANGE JUICE CONCENTRATE IS 7:3. YOU MAKE 80 CUPS OF ORANGE JUICE IN ALL. AT THE PARTY, YOU AND YOUR FRIENDS DRINK 3/4 OF ALL THE ORANGE JUICE YOU MADE. HOW MANY CUPS OF ORANGE JUICE CONCENTRATE ARE LEFT? HOW MANY CUPS OF WATER ARE LEFT?
Click here to see answer by ikleyn(52781) About Me 
Question 1184747: YOU ARE MAKING JUICE FOR A FRIENDS BIRTHDAY PARTY. YOUR RATIO OF WATER TO ORANGE JUICE CONCENTRATE IS 7:3. YOU MAKE 80 CUPS OF ORANGE JUICE IN ALL. AT THE PARTY, YOU AND YOUR FRIENDS DRINK 3/4 OF ALL THE ORANGE JUICE YOU MADE. HOW MANY CUPS OF ORANGE JUICE CONCENTRATE ARE LEFT? HOW MANY CUPS OF WATER ARE LEFT?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1184757: The perimeter of a rectangle is 220 inches. The ratio of its length to its width is 7:3. Find the area of the rectangle. I need the answer in square inches.
Click here to see answer by ikleyn(52781) About Me 

Question 1185130: A scientist has two solutions, which she has labeled Solution A ad Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 90% salt.
Click here to see answer by ikleyn(52781) About Me 

Question 1185163: A scientist has two solutions, which she has labeled Solution A ad Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 90% salt. She wants to obtain 90 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Click here to see answer by Alan3354(69443) About Me 
Question 1185163: A scientist has two solutions, which she has labeled Solution A ad Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 90% salt. She wants to obtain 90 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Click here to see answer by greenestamps(13200) About Me 

Question 1185323: you read online that a 15 feet by 20 feet brick patio would cost about $2,2275 to have professionally installed. Estimate the cost of having an 18 by 22 ft brick patio installed.
Click here to see answer by ikleyn(52781) About Me 
Question 1185323: you read online that a 15 feet by 20 feet brick patio would cost about $2,2275 to have professionally installed. Estimate the cost of having an 18 by 22 ft brick patio installed.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1185325: I was at the store, and saw two sizes of avocados being sold.

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Question 1185464: The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company
Click here to see answer by MathLover1(20849) About Me 
Question 1185464: The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company
Click here to see answer by greenestamps(13200) About Me 
Question 1185464: The ratio of men to women working for a company is 3 to 2. If there are 110 employees,how many women work for the company
Click here to see answer by MathTherapy(10552) About Me 

Question 1185889: The ratio of Gene's age to Sherry's age is 5: 8. Five years later, the ratio of Gina's age to Sherry's age will be 2: 3. How old will Gina be in 12 years time?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1186036: The sides of a square measure 4 m by 4 m increased by 10%. Find the percent increase in the area.

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Question 1186036: The sides of a square measure 4 m by 4 m increased by 10%. Find the percent increase in the area.

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Question 1186059: The ratio of men to women working for a company is 4 to 5 . If there 140 are women working for the company, what is the total number of employees?


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Question 1186076: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
Click here to see answer by Alan3354(69443) About Me 
Question 1186076: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1186076: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
Click here to see answer by greenestamps(13200) About Me 
Question 1186076: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
Click here to see answer by ikleyn(52781) About Me