Questions on Algebra: Proportions answered by real tutors!

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Question 86416: Tutor: could you help me with this word problem...???
Here it is: The cost, y, of growing special oranges in dollar as a function of the number of oranges, n is given by y=0.7n+20.34
What would be the plot of this equation and what is the cost of growing 50 special oranges?
Thank you!!

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Question 86416: Tutor: could you help me with this word problem...???
Here it is: The cost, y, of growing special oranges in dollar as a function of the number of oranges, n is given by y=0.7n+20.34
What would be the plot of this equation and what is the cost of growing 50 special oranges?
Thank you!!

Click here to see answer by tutorcecilia(2152) About Me 

Question 86621: The problem I am struggling with is as follows:
part a. If one inch on a map represents 35 miles, how many miles are represented by 3 inches? 10 inches? n inches?
This is what I have done so far:
35 miles to 1 inch = x miles to 3 inches
35:1 = x:3 (cross multiply)
x = 105
35 miles to 1 inch = x miles to 10 inches
35:1 = x:10 (cross multiply)
x = 350
35 miles to 1 inch = x miles to n inches
35:1 = x:n (cross multiply)
x = 35n


part b. Los Angeles is about 1000 miles from Portland. About how many inches apart would Portland and Los Angeles be on this map?
Don't have any clue how to set this problem.
Thank you for your help.
Sincerely,
R. Franke
sylleobear@hotmail.com

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Question 86619: The problem I need help with is as follows:
A family uses 5 gallons of milk every 3 weeks. At that rate, how many gallons of milk will they need to purchase in a year's time?

This is what I have tried --
5 gallons : 3 weeks = x gallons : 52 weeks
5/3 = x/52 (cross multiply)
3x = 260 (divide by 3)
x = 86.6 or 87 gallons
Thank you for any help.
R. Franke
sylleobear@hotmail.com

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Question 88717:
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Question 89414: maria purchased 12 pens and 8 notebooks for $15.00. bob bought 4 pens and 3 notebooks for $5.50. find the price of one pen and the price of one notebook ,agebraically.
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Question 89413: tickets at a local movie were sold at $6.00 for adults and $4.50
for students. if 264 tickets were sold for a total of $1563.00, how many adults tickets were sold ?

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Question 89705: Puals father bought a lawn mower for $220. A sales tax of 5% was charged. What was the amount of sales tax?
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Question 90525: there are 4 positions with 6 people to fill. How many different ways can the officers be elected?
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Question 91670: A car travels 240 miles on 15 gallons of gas. How far can the car travel on 20 gallons of gas?
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Question 91681: Kevin's car gets 32 miles to one gallon of gas. How much gas will he use on a 475-mile trip?
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Question 92034: I need the equation for figuring out how many mixtures (combinations) of letters can come from: ABCDE, then ABCDEF, then ABCDEFG, etc. (ex. for the first one ABCDE there are the following mixtures: AB, AC, AD, AE, AF, ABC, ABD, ABE, ABDE, etc. but an equation would help me solve this much faster.
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Question 92111: a football coach needs 12 players to ride on a float in a parade. he randomly selects names from a helmet. the helmet contains the names of 4 freshmen, 13 sophmores, 14 juniors, and 8 seniors. what is the probability the first two names chosen are seniors?
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Question 92318: Could you please help me with the set up and answer for the following problem:
A drink contains 3 ounces of orange juice and 5 ounces of 7up. How much 7up is needed for 15ounces of orange juice?


Thank you so much!

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Question 92829: WHAT IS THE PEREMETER OF A SQUARE WITH AN AREA OF 49 SQUARE FEET?
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Question 93138: ok. ill give you the problem. the instuctor of and introductory computer course wants to make a wall chart of a computer desktop for her students.to make it realistic as possible,she would like the desktop icons to be proportional to the size of her 6'x6' chart. if the icons on her 15"x15" PC screen are 3/8"x3/8", how large should they be on her wall chart.
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Question 93281: for a group of boxes all of the same girth (2x height + 2x width), the volume V varies directly as the length L.
If one of the boxes has a volume of 288 cu. in and length of 12 in., what is the constant of proportionality for the group of boxes?

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Question 93280: For a group of boxes of the same girth (2x height + 2x width), the volume V varies directly as the length L.
Using k for a constant of proportionlity, express the relationship between V and L.

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Question 93956: a gold bracelet is discounted 40% and sold for $750. Find the regular proce of the bracelet.
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Question 94076: A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).
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Question 94080: A new virus is released on the internet; the administrator of a department's Local Area Network (LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN and finds that 7 are infected; use proportion to estimate the number of infected PCs if there are a total of 117 PCs connected to the LAN.
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Question 94144: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone?
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Question 94489: How many liters of a 14% alcohol solution must be mixed with 20L of a 50% solution to get a 30 % solution?

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Question 94550: Solve the proportion:
(x-1)/3=(x+5)/(x-1)
Thanks for helping me out!!

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Question 95417: the length of a rectangle is 8 more than twice the width. The ratio of length to width is 12 to 5. Find the length and the width of the rectangle.


(I tried solving it as 12/5 = 2x+8/2x. I then cross multiplied and got 5(2x+8)=12(2x). I used the distributive property to get 5 times 2x+40=12 times 2x. I do not know how to solve past there though.)

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Question 95412: The ratio of the areas of two triangles is 8 to 5. The altitude of one triangle is 5 centimeters more than the altitude of the other while the bases are each equal to 10 centimeters. Find the altitude of each triangle.

(I have tried to convert the area into an altitude so both sides will be equal, but I am not sure what to do to solve it like that.)

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Question 95936: WUT IS 2 OVER N=5 OVER 10
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Question 96089: A car gets 42mpg. How much gas will be needed to go 315 miles?

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Question 96681: For this one I got 20 foot but it doe not feel like the right answer.
A 10-foot pole casts a shadow of 9 feet. How tall is a tree with a shadow of 18 feet?

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Question 97009: y/18=150/126 can you show me how to check it please and thanks
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Question 97034: 2/7=5/y can you please show me how to check it please and thanks
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Question 97317: can you please help me solve the problems thanks 1. 90 miles over 1 hr equals feet over seconds
2. 3.5 cm over 1 second equals meters over 1 min
3. 114 over 1 yr equals liters over 1 day
4. 500 dallors over 8 hrs equal cents over 1 day

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Question 97327: 8/5 = 40/y
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Question 97326: 16/m = 1/4
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Question 97322: 25/75 = 1/x
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Question 97329: 12/15 = t/5
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Question 97330: y/4 = 5/9
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Question 97366: 24/x = 4/3
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Question 97368: 63/144 = u/16
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Question 97370: 12/30 = 10/k
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Question 97371: y/18 = 15-/126
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Question 97367: 15/y = 10/8
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Question 97365: 18/c = 2/7
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Question 97504: travel(km)/gasL = 150/12 = 500/x
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