Tutors Answer Your Questions about Proportions (FREE)
Question 246187: Please help me solve this word problem.
The perimeter of a rectangle is 210ft. The length is 15ft. less than twice the width. What is the length and the width?
I have tried dividing 210 by 6, getting 35 for each width, and 70 for each length. Then I added the widths (35+35), to get 70. I subtracted 15 from 70 and got a sum of 55 and divided that by 2 getting(27.5). I then added 15 to both of my lengths (15+70+70), and divided that by 2 getting 77.5. Am I correct that the length is 77.5ft., and the width is 27.5ft.?
Click here to see answer by stanbon(75887) |
Question 246187: Please help me solve this word problem.
The perimeter of a rectangle is 210ft. The length is 15ft. less than twice the width. What is the length and the width?
I have tried dividing 210 by 6, getting 35 for each width, and 70 for each length. Then I added the widths (35+35), to get 70. I subtracted 15 from 70 and got a sum of 55 and divided that by 2 getting(27.5). I then added 15 to both of my lengths (15+70+70), and divided that by 2 getting 77.5. Am I correct that the length is 77.5ft., and the width is 27.5ft.?
Click here to see answer by oberobic(2304) |
Question 246187: Please help me solve this word problem.
The perimeter of a rectangle is 210ft. The length is 15ft. less than twice the width. What is the length and the width?
I have tried dividing 210 by 6, getting 35 for each width, and 70 for each length. Then I added the widths (35+35), to get 70. I subtracted 15 from 70 and got a sum of 55 and divided that by 2 getting(27.5). I then added 15 to both of my lengths (15+70+70), and divided that by 2 getting 77.5. Am I correct that the length is 77.5ft., and the width is 27.5ft.?
Click here to see answer by dabanfield(803) |
Question 246801: If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
The furthest I can get is the following:
Sally 4 hours/house = John 6 hours/house
I have no idea where to go from here. Any help would be appreciated.
thanks,
Carrie
Click here to see answer by solver91311(24713)  |
Question 247094: The ratio of men to women at a certain company is 7 to 4. How many employees does the company have if there are 35 male employees?
In which way 7men and 4women combine like 35men and "some given" women? Proportions are fractions. So 7/4=1.75 (read 7 divided by 4 equal 1.75) must be the same (equal) to 35/some number=1.75.
So what is that number? Well, try with the most simple equivalent example to unlock the mistery. For instance, if the numbers were 6/what number?=2 which answer would it be?. Then you know that the "what number?* is 3 because you saw, intuitively,that there are 3 groups of 2 objects making a total of 6 object. In other words, you did 6/2=3. So do the same with the "more complicated" numbers of the questions.
35/what number?= 1.75
The answer is 35/1.75=20
So now we know that there are 20 women.
So in total there are 35 men and 20 women. 35+20=55 employees in total.
Click here to see answer by edjones(8007)  |
Question 247094: The ratio of men to women at a certain company is 7 to 4. How many employees does the company have if there are 35 male employees?
In which way 7men and 4women combine like 35men and "some given" women? Proportions are fractions. So 7/4=1.75 (read 7 divided by 4 equal 1.75) must be the same (equal) to 35/some number=1.75.
So what is that number? Well, try with the most simple equivalent example to unlock the mistery. For instance, if the numbers were 6/what number?=2 which answer would it be?. Then you know that the "what number?* is 3 because you saw, intuitively,that there are 3 groups of 2 objects making a total of 6 object. In other words, you did 6/2=3. So do the same with the "more complicated" numbers of the questions.
35/what number?= 1.75
The answer is 35/1.75=20
So now we know that there are 20 women.
So in total there are 35 men and 20 women. 35+20=55 employees in total.
Click here to see answer by sandrodacomo(1) |
Question 247280: The number of kilograms W of water in a human body varies directly as the total body weight B. A person who weighs 75 kg contains 54 kg of water.
a) Find an equation of variation.
b) How many kilograms of water are in a person who weighs 95 kg?
Click here to see answer by solver91311(24713)  |
Question 248248: Hello, kind tutor!
Having a work problem concerning dilutions, and therefore ratios.
We took 30 microliters of a stock, and added it to 270 microliters of saline to make 300 microliters of a 1:10 dilution. We then took this 300 microliters and added 100 microliters of another solution to that to form 400 microliters total.
2 questions regarding this: What would the second dilution (300 microliters + 100 microliters) be considered? 3:4?
And, what would the final dilution be?
My boss and another coworker said it would end up being 1:13.3, (roughly 1:13), but I could not understand how they arrived at that number.
Thank you very much for your kind assistance,
Lauren
Click here to see answer by stanbon(75887) |
Question 248635: A 3-men crew can do a certain job in 3 weeks and 2 days, if we are to hire 4 men crew instead, with the same rate as the first crew, how long would it take the 4-men crew to do the same job? Note: a week contains 6 working days and a work day is 8 hours.
Click here to see answer by josmiceli(19441)  |
Question 248718: The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 180 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects?
Click here to see answer by edjones(8007)  |
Question 249132: Speed varies inversly with time of travel. It takes 6 seconds to travel between two highway markers at 45 mph. write the equation and show the proportionality constant. How fast are you driving if it takes 5 seconds to travel between the markers?
Click here to see answer by Theo(13342)  |
Question 249204: 16 yellow marbles, 6 green marbles and 7 red marbles. What is the chance of drawing a yellow marble? If a yellow is drawn first and then a second marble is drawn without replacement, what is the probability of drawing a green marble?
Click here to see answer by richwmiller(17219)  |
Question 251431: 1.A certain bank pays 1% compound interest for their savings account holders. If Nick deposits $10000 in that bank. (refer page 707 in the text book) (40 points) Formula = A= P (1 + r)^t
a. Estimate how much money will be in his account after 25 years using your formula. Assume there will not be any deposits or withdrawals during that 25 year period.
b. Estimate how long it will take to double the total amount (i. e. the total is $20000) in Nick’s account.
c.Estimate the total amount in Nick’s account after one year.
Click here to see answer by stanbon(75887) |
Question 251502: Solve the proportion for x.
a)
20
24
=
x
18
b)
:5
x
=
1:25
5
c)
6:3
7
=
13:5
x
7. A tree casts a shadow that is 115 ft long. At the same time a yard stick
(a ruler that is 3 ft long) casts a 5 ft shadow. How tall is the tree?
8. An inspection nds 40 defective parts in a shipment of 500. How many
defective parts would you expect in a shipment of 1200?
9. For these questions use Activity 15 on page 420 of your textbook. The
rate at which calories are burnt is proportional to the weight of the person:
a) At what rate would a 115-pound person burn calories while running
in place?
b) At what rate would a 175-pound person burn calories while swimming
at 25 yd/min?
Click here to see answer by richwmiller(17219)  |
Question 251499: Write these ratios as whole numbers in simplest form.
a) 25 to 35
b) 111
2 to 5
c) 82
3 to 141
5
2. Write these ratios as whole numbers in simplest form.
a) 45 minutes to 2 hours
b) 4 gallons to 6 quarts
c) 3 dimes to 10 nickles
Click here to see answer by richwmiller(17219)  |
Question 252163: AHOPKEEPER HAS THREE TYPES OF BLACK PULSE COSTING RS.60, RS.72 AND RS.90 PER KG RESPECTIVELY. OUT OF THEM THE FIRST TWO TYPES OF PULSE ARE MIXED IN THE RATION OF 2:3. IN WHAT RATIO THE THINRD TYPE OF PULSE SHOULD BE MIXED SO THAT THE COST OF MIXTURE WILL BE RS.78 PER KG?
Click here to see answer by palanisamy(496) |
|
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, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265
|