Questions on Algebra: Proportions answered by real tutors!

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Question 1168587: A varies as B nd partly inversly as C. A=4,12 b=1,2 c=3,5. Find a when b=2 c=4
Click here to see answer by ikleyn(52785) About Me 
Question 1168577: If for three distinct positive numbers x, y and z,
y/x-z = x+y/z = x/y'
then find the numerical value x/y.
Click here to see answer by ikleyn(52785) About Me 
Question 1168642: If for three distinct positive numbers x, y, and z,
+y%2F%28x-z%29+=+%28x%2By%29%2Fz+=+x%2Fy++
then find the numerical value of x/y.
Click here to see answer by ikleyn(52785) About Me 
Question 1168793: The scale on a map is 1 inch to 3 miles. If the distance between two points is 6 inches, what proportion should you use to find the actual distance?
Click here to see answer by Boreal(15235) About Me 
Question 1168793: The scale on a map is 1 inch to 3 miles. If the distance between two points is 6 inches, what proportion should you use to find the actual distance?
Click here to see answer by math_tutor2020(3817) About Me 
Question 1168810: what is the probability of buying a regular drink and a regular bag of chips if you have 5 diet drinks. 10 regular drinks, 6 bags of fat free chips. and 10 bags of regular chips?
Click here to see answer by ikleyn(52785) About Me 
Question 1168898: According to a local survey, the ratio of houses with aluminum siding to houses with slate siding, how many houses have aluminum siding?
25/34=x/135
Click here to see answer by josgarithmetic(39617) About Me 
Question 1168898: According to a local survey, the ratio of houses with aluminum siding to houses with slate siding, how many houses have aluminum siding?
25/34=x/135
Click here to see answer by Theo(13342) About Me 
Question 1168901: According to a local survey, the ratio of houses with aluminum siding to houses with slate siding is 25:9. If 135 houses have slate siding, how many houses have aluminum siding?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1168905: A theater sold 3 Saturday tickets for every 5 Friday tickets. If 230 people bought Friday tickets, how many people bought tickets for Saturday’s play?
Click here to see answer by Boreal(15235) About Me 
Question 1169080: A recent school bond issue passed with 3 out of 4 votes in favor of the bond. A total of 2250 people voted against the bond. How many people voted in favor of the bond?
Click here to see answer by math_tutor2020(3817) About Me 
Question 1169080: A recent school bond issue passed with 3 out of 4 votes in favor of the bond. A total of 2250 people voted against the bond. How many people voted in favor of the bond?
Click here to see answer by MathTherapy(10552) About Me 
Question 1169401: Rachel owns 4 fewer than twice as many pairs of shoes as her friend Nicole. If Rachel has 14 pairs, how many pairs of shoes does Nicole have?
Click here to see answer by The Troll Kid(22) About Me 
Question 1169563: I found a pair of $75.00 pair of pants for 25% off. How much did I pay? What percent did I pay?
Click here to see answer by ikleyn(52785) About Me 
Question 1169830: The length of a rectangle is 1.6 times its width. The sum of the length and width is 130. Find the length and width of the rectangle and show your work.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1170068: In the average adult male, for each 5 pounds of body weight about 3 pounds is water. How much of a 188 pounds adult male is water?
Click here to see answer by ikleyn(52785) About Me 
Question 1171182: if the time (T) it takes to plant rice in an acre varies inversely as the number of the farm workers (W).
(a) if 18 workers can plant rice in a certain number of acres in 3 days, how long will it take 12 workers to plant rice in the same number of acre?
(b) what happens to the time if the number of worker decrease?
Click here to see answer by ikleyn(52785) About Me 
Question 1171182: if the time (T) it takes to plant rice in an acre varies inversely as the number of the farm workers (W).
(a) if 18 workers can plant rice in a certain number of acres in 3 days, how long will it take 12 workers to plant rice in the same number of acre?
(b) what happens to the time if the number of worker decrease?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1171182: if the time (T) it takes to plant rice in an acre varies inversely as the number of the farm workers (W).
(a) if 18 workers can plant rice in a certain number of acres in 3 days, how long will it take 12 workers to plant rice in the same number of acre?
(b) what happens to the time if the number of worker decrease?
Click here to see answer by greenestamps(13200) About Me 
Question 1171266: Two machines consume, one in 20 days
Click here to see answer by ikleyn(52785) About Me 
Question 1171675: Two machines consume, one in 20 days and the other in 26 days, the same amount of gasoline; how many days can the two machines run simultaneously using the same amount of gasoline?
Click here to see answer by ikleyn(52785) About Me 
Question 1172121: A telephone pole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 4 feet 6 inches long. How tall is the telephone pole to the nearest foot?
When I solved this I got 40 feet. I'm not sure if that is correct, but here is the steps I took:
1. Converted 4ft into 48in by multiplying 4x12 then I added 6, Total: 54in.
2. Then I took 6x12 and got 72 and took 30x12 and got 360.
3. The proportion formula I used was height / shadow = height / shadow.
4. I plugged in the numbers 54 / 72 = x / 360 and cross multiplied and divided
5. Result, I got 480 and divided by 12 to convert back into feet since that is what the question wanted.
6. As a final answer I got 40



Click here to see answer by josgarithmetic(39617) About Me 
Question 1172121: A telephone pole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 4 feet 6 inches long. How tall is the telephone pole to the nearest foot?
When I solved this I got 40 feet. I'm not sure if that is correct, but here is the steps I took:
1. Converted 4ft into 48in by multiplying 4x12 then I added 6, Total: 54in.
2. Then I took 6x12 and got 72 and took 30x12 and got 360.
3. The proportion formula I used was height / shadow = height / shadow.
4. I plugged in the numbers 54 / 72 = x / 360 and cross multiplied and divided
5. Result, I got 480 and divided by 12 to convert back into feet since that is what the question wanted.
6. As a final answer I got 40



Click here to see answer by MathTherapy(10552) About Me 
Question 1172114: A telephone pole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 4 feet 6 inches long. How tall is the telephone pole to the nearest foot? (1 foot = 12 inches)
Propotion: (Height / Shadow = Height / Shadow)


Click here to see answer by Boreal(15235) About Me 
Question 1172114: A telephone pole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 4 feet 6 inches long. How tall is the telephone pole to the nearest foot? (1 foot = 12 inches)
Propotion: (Height / Shadow = Height / Shadow)


Click here to see answer by Alan3354(69443) About Me 
Question 1172172: I am trying to answer this practice problem from openupresources.org
A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80?
What are the steps to solving this problem?
docmaine@yahoo.com
Click here to see answer by Alan3354(69443) About Me 
Question 1172470: All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the sixth grade?
(A) 76
(B) 166
(C) 214
(D) 250
Click here to see answer by ikleyn(52785) About Me 
Question 1172685: The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
Click here to see answer by Edwin McCravy(20056) About Me 
Question 1172711: A quantity y partly varies directly as x and partly varies inversely as x when x = 4, y = 17.
When x = 6, y = 13 , find the value of y when x = 10.
Click here to see answer by ikleyn(52785) About Me 
Question 1172710: Write two possible proportions having the extremes 5 and 8. I need help please, thank you.
Click here to see answer by ikleyn(52785) About Me 
Question 1172723: Write two possible proportions having the extremes 5 and 8. Can you please show solutions on how to find possible proportions? Thank you
Click here to see answer by Solver92311(821) About Me 
Question 1172719: I need help please, here is the problem:
The costs $C of making a school bag is partly constant and partly varies inversely as the total number N of bags made. When 200 bags are made, the cost per bag is $60. When 500 bags are made, the cost per bag is
$45. How many bags are made if the cost per bag is $40? Find the cost per bag if 400 bags are made.
Click here to see answer by Solver92311(821) About Me 
Question 1172719: I need help please, here is the problem:
The costs $C of making a school bag is partly constant and partly varies inversely as the total number N of bags made. When 200 bags are made, the cost per bag is $60. When 500 bags are made, the cost per bag is
$45. How many bags are made if the cost per bag is $40? Find the cost per bag if 400 bags are made.
Click here to see answer by Theo(13342) About Me 
Question 1172719: I need help please, here is the problem:
The costs $C of making a school bag is partly constant and partly varies inversely as the total number N of bags made. When 200 bags are made, the cost per bag is $60. When 500 bags are made, the cost per bag is
$45. How many bags are made if the cost per bag is $40? Find the cost per bag if 400 bags are made.
Click here to see answer by ikleyn(52785) About Me 
Question 1172753: The volume of a cylinder is given by the formula V=πr2h. If r is increased by 50% and the height is reduced by 25%, what will happen to the volume? What is the constant of variation?

Click here to see answer by greenestamps(13200) About Me 
Question 1172755: Given the equation y= k pq^2/r, where k is the constant variatioin, tell which statement is true or false.
a. y and r varies directly
b. y and q^2 are directly proportional
c. y and pq^2 varies jointly
d. p and r are inversely proportional
e. y and p varies directly
Click here to see answer by ikleyn(52785) About Me 
Question 1172901: Baka sold article for $6900 and made a profit of 15%. Calculate his profit if he had sold it for $ 6600
Click here to see answer by Edwin McCravy(20056) About Me 
Question 1173476: A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?
A. Solve the proportion 3/2=x/10.
B. Solve the proportion 2/3=10/x.
C. Solve the proportion 3/2=10/x.
D. Solve the proportion 3/x=2/10.
Click here to see answer by ikleyn(52785) About Me 
Question 1174137: A child psychologist wants to estimate the mean age at which a child learns to talk using a confidence interval. Find the sample size necessary for a 99% confidence interval with maximum error estimate of 4 weeks for the mean age at which a child learns to talk. Assume σ = 25 weeks.
Click here to see answer by ewatrrr(24785) About Me 
Question 1174138: Iwas Realty is a real estate company selling homes in the Vancouver, British Columbia.
The mean number of homes sold by the company per day is 2.
a. What is the probability that the company sells exactly 3 homes tomorrow?
b. Find the probability of selling more than 2 homes on a particular day?
Click here to see answer by Boreal(15235) About Me 
Question 1174138: Iwas Realty is a real estate company selling homes in the Vancouver, British Columbia.
The mean number of homes sold by the company per day is 2.
a. What is the probability that the company sells exactly 3 homes tomorrow?
b. Find the probability of selling more than 2 homes on a particular day?
Click here to see answer by ewatrrr(24785) About Me 
Question 1174221: The power, P(watts) of a car engine is proportional to the square of its speed, s(m/s).
When s=15, P=2100
.
Work out the speed (to 1 DP) when the power is
2200 watts
Click here to see answer by josgarithmetic(39617) About Me 
Question 1174271: A machine can harvest the farm in 15 days working for 8 hours a day. How long will 2 machines take to harvest it if they were used for 10 hours?
Click here to see answer by ikleyn(52785) About Me 
Question 1174278: a map is drawn to a scale of 1:5000 on the map, a village has an area of 6cm2. find the true area of the village in hectare
Click here to see answer by ewatrrr(24785) About Me 
Question 1174278: a map is drawn to a scale of 1:5000 on the map, a village has an area of 6cm2. find the true area of the village in hectare
Click here to see answer by greenestamps(13200) About Me