Questions on Algebra: Proportions answered by real tutors!

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Question 508077: what is the fraction notation for the ratio of 8640 to 14400
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Question 508023: Could you please show me the steps to get Least Common Multiple for 28,40,56
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Question 509149: Please help me with this question
Given that Y varies inversely as the cube root of X-5 and Y = 3, X = 13 form an equation connecting X and Y.
Hence find X when Y = 2

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Question 509590: A triangle drawn on a map has sides of lengths 8 cm, 12 cm, and 13 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances?
Please help me with this.

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Question 509904: My friend and I are mixing blue and white paint in order to get a lighter shade of blue.I use 2 cups of blue paint and 1 cup of white paint. my friend uses 3 cups of blue paint and 2 cups of white paint. Which mixture is darker?
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Question 510774: I saw this problem:
At Joe's Restaurant, one-fourth of the patrons are male and one-fifth of the patrons are from out of town. What proportion would you expect to be male and out of town?
Someone answered it this problem like this:
For this kind of problem, you mulitply the two fractions. So 1/4 x 1/5 = 1/20. We would expect 1/20 of the patrons to be both male and from out of town.
Here is a way to visualize this.
In Town Out of Town Total
Male 4 1 5
Female 12 3 15
Total 16 4 20
Imagine that there are 20 people in the restaurant. Five are male (so 5/20 = 1/4) and 4 are from out of town (so 4/20 = 1/5). One way to show this is with the chart above. Only 1 person (1/20) is both male and from out of town.
My question is:
What is the reasoning behind the sentences below???? I don't understand that.
For this kind of problem, you mulitply the two fractions. So 1/4 x 1/5 = 1/20. We would expect 1/20 of the patrons to be both male and from out of town.

Click here to see answer by scott8148(6628) About Me 

Question 510705: It took 2 hours for 1 person to sweep the yard. How long would it take 4 persons working at the same speed to do the same job?
My attempt:
Firstly, it has to take less than 2 hours since the number of persons has been increased.
The # of persons has been increased by 3 so:
Increase in persons/ Time = 3 / 2
1.5 hours.

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Question 511040: if a certain amount of food will last 50 days for 200 soldiers, how long will it last if 50 soldiers are added at the end of 20 days?
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Question 511762: Please help, my mom, dad and brother are no help!
8 over w-10 = 16 over w-5 = z+8 over w

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Question 512616: solve this proportion.. 16 over 7 = m over 21

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Question 512621: solve this... 5 over 8 = t over 24

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Question 512623: solve this... k over 9 = 10 over 18
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Question 512623: solve this... k over 9 = 10 over 18
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Question 512623: solve this... k over 9 = 10 over 18
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Question 512625: solve this... r over 6 = 40 over 50
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Question 512641: Terry walks 12 blocks to school each day. It takes him thirty minutes to get to school. If 12 blocks equal one third of a mile at waht unit rate is Terry walking to school?
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Question 512710: What is 0.6% of 70 and how do you solve it?
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Question 513147: R is inversely proportial to the cube of S.
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Question 513147: R is inversely proportial to the cube of S.
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Question 513144: x is directly proportional to the square of y
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Question 513160: How do I find 25% of what is 28? Thank you
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Question 513160: How do I find 25% of what is 28? Thank you
Click here to see answer by Alan3354(30993) About Me 

Question 513154: R is inversel;y proportinal to the cube of S. Let k be the constant of proportionally. If R=2 and S=7, find the value of k.
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Question 513297: what't the answer to 24v = 288?
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Question 515922: What temperature is numerically the same in degrees Celsius and degrees Fahrenheit?
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Question 515922: What temperature is numerically the same in degrees Celsius and degrees Fahrenheit?
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Question 515929: Identify the following amounts.
a. "Decidollar"
b. Centidollar"
c. Dekadollar"
d. Kilodollar"

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Question 515925: Choose the best estimate for the following temperatures.
a. A good day to go skiing:-5 C, 15 C, or 35 C?
b. Treat yourself for a fever: 29 C, 39 C, or 99 C?

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Question 515934: The mass of one electron is 9.11 X 10(-28) grams. A uranium atom contains 92 electrons. Find the total mass of the electrons in a uranium atom.
Express your answer in scientific notation.

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Question 515985: how do you solve this:
2.3:3:____
•variable is empty... not an equation

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Question 516265: Two numbers are in ratio of 7:11. If 7 is added to each of the number, the ratio becomes 2:3. Find the numbers.
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Question 516265: Two numbers are in ratio of 7:11. If 7 is added to each of the number, the ratio becomes 2:3. Find the numbers.
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Question 516638: h\30=2\5 ?? help!
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Question 516637: i dont understand how to do any of these problems i cant understand my teacher when she explains it to me so can you please explain it to me so i can understnd
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Question 516667: 8 is 20% of what number?
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Question 516660:
12 is 6% of what number?

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Question 516728: can you show me how to solve this proportion? 7/9 = b/b-10

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Question 518980: Jessica purchased x shares of stock at $32 per share. She sold all the stock for $56 per share and made a profit of $552. How many shares did Jessica purchase?
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Question 519196: How would you solve 4y-8-2y=4?
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Question 519299: if a,b,c,d are in continued proportion, prove that (a+b)(b+c)-(a+c)(b+d)=(b-c)^2
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Question 519546: the ratio of the length of a rectangle to its breadth is 9:4. if the perimeterof rectangle is 104cm, find the area of the rectangle.
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Question 519809: what is the solution to 4/9=r-3/6
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Question 519809: what is the solution to 4/9=r-3/6
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Question 521267: Depakote is a medication whose purpose is to reduce the pain associated with migraine headaches. In clinical trials of Depakote, 2% of the patients in the study experienced weight gain as a side effect. Suppose a random sample of 30 Depakote users is obtained. Find the following probabilities:
a. Exactly 3 experienced weight gain as a side effect
b. 3 or fewer experienced weight gain as a side effect
c. 4 or more experienced weight gain as a side effect.
d. Between 1 and 4 patients, exclusive, experienced weight gain as a side effect.

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Question 521581: A car going 65 miles per hour traveled 15 miles farther tahn a car traveling 55 miles an hour in the same time. How far did each car travel during that time?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970