Questions on Algebra: Proportions answered by real tutors!

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Question 1104091: On a certain map, a distance of 16 miles is represented by 0.125 inches. If the map indicates that the distance from Casey's home to her Aunt Carol's home is 2.25 inches, how many total miles will Casey drive in a round trip visit to Aunt Carol's home?
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Question 1104149: Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the sum of the first two numbers is equal to 4.8.
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Question 111334: The ratio of men to women at a certain company is 3 to 5. How many employees does the company have if there are 100 male employees?
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Question 111334: The ratio of men to women at a certain company is 3 to 5. How many employees does the company have if there are 100 male employees?
Click here to see answer by josgarithmetic(39617) About Me 

Question 248883: If A can perform a task in 24 hours and B can perform the same task in 40 hours, how long does it take A and B working together? show equation and solve
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Question 1104858: Ade,lanre, sam and jude rented a house and agreed to share the rent as follows
Ade: lanre =8:15, lanre: sams=5:8 and sam and jude=4:5. The part of rent paid by sam will be?

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Question 1104925: if a, b, c and d are in continuous proportion then prove that:
(a^3 + b^3 + c^3)/(b^3 + c^3 + d^3) = a/d

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Question 1105420: Let X be the variable that represents the height of the individuals of a given population. Suppose that X has approximately normal distribution, with mean 170 cm and variance of 100 cm^2.
a) What is the probability that an individual of this population has height less than 175 cm?
b) Find the points a and b, symmetrical about the mean, such that P (a

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Question 1105421: The elevator installed in a building can carry up to 10 people or a maximum weight of 800 kg. It is known that the weight of the people in this building follows a normal distribution with mean μ= 70 and variance σ^2 = 90. Calculate the probability that the sum of the weights of 10 persons together in the elevator exceeds the maximum weight.
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Question 1105419: An exam was applied with 10 questions of multiple choice, with four options each, being only one correct. John took the exam without knowing anything, answering the questions at random.
a) What is the probability of John to solve four questions?
b) What is the probability that John scores more than 50% of the exam?
c) John's mother promised $ 100 if he takes out 9 or 10, or $ 50 if he takes 7 or 8. If he draws below 7, it goes without premium. Calculate the expected gain of John.

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Question 1105417: Judge the following statements as true or false (justify your answer).
a) When the value of the statistic observed in the sample is in the critical region, the null hypothesis must be accepted.
b) The larger the sample size, the smaller the variance of X (x-bar)
c) When performing a test for the mean with known variance the chi-square distribution must be used.
d) When the p-value of the statistic observed in the sample is greater than the level of significance (α) adopted, one must accept Ho.

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Question 1105416: One school has the following distribution of students by age group:
age range: (0-4) (4-6) (6-10) (10-16) (16-18) Total
absolute frequency: 20 | 50 | 100 | 120 | 110 | 400
a) Estimate the average age of the students.
b) Suppose there are two incentive policies for schools: one that favors early childhood education, another that favors secondary education. The incentive to early childhood education provides a sum of R $ 500 per enrolled child aged 5 years or less; for high school, 150 reais are offered per student aged 16 or over.
With the current age distribution, how much will the school receive in total, incentive? Justify.

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Question 1105415: Of the Canadian population, it is known that 30% are from the province of Quebec and 28% speak French. It is also known that among the citizens of Quebec, 80% speak French. Choosing a Canadian at random, how likely is it to:
a) Do not speak French knowing that you are not from Quebec?
b) Be from Quebec knowing that you speak French?
c) Not being from Quebec knowing that you do not speak French?
d) Do not speak French and be from Quebec?
e) Do not be from Quebec and do not speak French?

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Question 1105462: A triangle drawn on a map has sides of lengths 7 ​cm, 12 ​cm, and 14 cm. The shortest of the corresponding ​real-life distances is 112 km. Find the longest of the ​real-life distances. Round to the nearest tenth as needed.
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Question 1105387: The distribution of income (in minimum salaries) of the certain city population is given below:
(%): 54 | 23 | 10 | 5 | 8 |
Income range: (0-2) (2-4] (4-6) (6-10) No statement
Get a new income distribution, considering only the people who declare some income. From the distribution obtained by you, calculate:
a) The average income;
b) The proportion of people receiving up to 1.5 minimum wages.
c) The income range corresponding to the richest 10%.

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Question 1105720: In a rural community on wells and septic systems, which had been surrounded by new developments, 149 voted to have town water provided, 117 wanted a sewer system, and 15 people wanted to remain on wells and septic systems because they could not afford town water or sewer. If 188 people voted, how many wanted both town water and a sewer system?
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Question 1106035: solve for the ratio u:v if u²+3uv-10v²=0
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Question 1106012: anita, cheri, miguel, and jake went bowling one night for fun they decided to pit the girls against the boys, with the highest score for each team winning.
anita scored 18 less than miguel, cheri's score was 16 less than twice anita's, cheri outscored jake by 21.
if the total score by all four kids was 529, what was the final scores of the match?

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Question 1106552: A man earns $1200 and spends $450 per month. Find the ratio of
(a) his income to his expenditure and
(b) his saving to his income

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Question 1106783: What percent of 90 is 50
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Question 1106787: What’s the measure of all the angles of the triangles if the ratio of the measure of the angles is 3:6:1?
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Question 1107158: Hello Online tutors!
Here's my question:
The surface area of a sphere is A=4pir^2(If you didn't get that it was 4 times pi times r to the second power. All one expression.
Rest of the question:
If the area of a circle is the same as the surface area of a sphere, find the ratio of the radius of the sphere to the radius of the circle.

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Question 1107329: 75% of p is 12. What is p?
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Question 1107329: 75% of p is 12. What is p?
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Question 1107330: 13% if r is 209. What is r?
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Question 1107330: 13% if r is 209. What is r?
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Question 1107620: A certain computer takes an average of 6 seconds to solve a 4- letter matching puzzle. Research has shown that the average time to solve a matching puzzle is directly proportional to the total number of possible choices for the letters. Which of the following is closest to the average length of time it would take to solve an 8-letter matching puzzle? "Letter" refers to the 26 uppercase letters of the English alphabet. Letters may be repeated. Assume the computer works continuously and without interruption.
a) 1 hour
b) 1 day
c) 1 month
d) 1 year

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Question 1107732: y=15x

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Question 1107757: What is y=15x, Is it an inverse proportion, If so, what's the constant of proportionality?
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Question 1107757: What is y=15x, Is it an inverse proportion, If so, what's the constant of proportionality?
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Question 1108464: 30% of the students in the school play are boys. If there are 80 students in the play, how many are boys?

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Question 1108603: if 3 inches on a map covers 225 miles, what is the scale of inches to miles?

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Question 1108666: Express the ratio 27 pints out of 81 trees as a fraction in simplest form
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Question 1108696: The ratio of boys to girls in a class is 3:4. If 12 more girls join the class, the ratio would bevome 1:2. How many students are currently in the class?
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Question 1108696: The ratio of boys to girls in a class is 3:4. If 12 more girls join the class, the ratio would bevome 1:2. How many students are currently in the class?
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Question 1108696: The ratio of boys to girls in a class is 3:4. If 12 more girls join the class, the ratio would bevome 1:2. How many students are currently in the class?
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Question 1108776: A bag of rice is sufficient for a group of eight for six days. If four more people join than, how many days will bag of rice last for them?
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Question 1108750: If a class of 45 students , received a how many got an a

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Question 1108972: If a man learns 130 words a month in country A and 150 words a month in country B and learns a total of 1920 words in 14 months how many months did he stay in each country
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Question 1108986: The ratio of x to y is 4:9 and the ratio of y to z is 18:15, what is the ratio of x to z?
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Question 1108986: The ratio of x to y is 4:9 and the ratio of y to z is 18:15, what is the ratio of x to z?
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Question 1108970: I'm dealing with CPI, the question is: According to a NY Times article on December 13, 2009, the average selling price of a 32” LCD TV was $600.  What would be the cost of that same TV in 2013 dollars? I keep getting 651.52, but my school canvas uploader says it's wrong
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Question 1109043: if x:y =11:8 and y:z=6:7 find x:y:z
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Question 1109259: 1/8 : x = 1/2 : 4/5
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Question 1109260: x-3 : x = 8 : 4
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