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Tutors Answer Your Questions about Proportions (FREE)
Question 168617: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.
Answer by josmiceli(2018)  (Show Source):
You can put this solution on YOUR website! = amount Fred gets
 = amount Grace gets
 = amount Aaron gets
Given:
(1) 
(2) 
(3) 
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From (1)
(4) 
Now substitute (2) and (4) into (3)
(3)
(4) 
Multiply both sides by 
(5) 
(6) 
(7) 
Substitute this back in (2)
(2)
(8) 
(9) 
Substitute (7) into (4)
(4)
{10) 
(11) 
Fred gets $750, Grace gets $1500, Aaron gets $4500
check:
(1)
(2)
(3)
--------------
(1)
(12) 
(13) 
--------------
(2)
(14) 
(15) 
--------------
(3)
(16) 
(17) 
OK
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Question 168617: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.
Answer by midwood_trail(230) (Show Source):
You can put this solution on YOUR website!Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.
Fred = x
Grace = 2x
Aaron = 3(2x)
Then:
x + 2x + 3(2x) = 6750
x + 2x + 6x = 6750
9x = 6750
x = 6750/9
x = 750
Fred gets x or $750.
Grace gets 2x or 2(750) = $1,500
Aaron gets 3(2x) or 3(1500) = $4,500
I hope that helps.
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Question 168369This question is from textbook
: Let y be 10% of a number. What is 50% of the number? Write your answer in terms of y.This question is from textbook
: Let y be 10% of a number. What is 50% of the number? Write your answer in terms of y.
Answer by checkley77(3397) (Show Source): |
Question 168181: im having a really hard time on this one it is due tomorrow
7/5=10.5/b solve the proportion ? really confussed
from
bad at math need help: im having a really hard time on this one it is due tomorrow
7/5=10.5/b solve the proportion ? really confussed
from
bad at math need help
Answer by jim_thompson5910(9168) (Show Source):
You can put this solution on YOUR website! Start with the given ratio
 Multiply both sides by b
 Multiply both sides by 5
 Multiply 10.5 and 5 to get 52.5
 Divide both sides by 7 to isolate "b"
 Divide
So our answer is
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Question 168107: did i solve this proportion correctly?
(2x+4)/5=30/25
(25)(2x+4)=(5)(30)
50x+29=150
50x+29-29=150-29
50x=121
(50x)/50=(121)/50
x=2.42: did i solve this proportion correctly?
(2x+4)/5=30/25
(25)(2x+4)=(5)(30)
50x+29=150
50x+29-29=150-29
50x=121
(50x)/50=(121)/50
x=2.42
Answer by oscargut(666)  (Show Source): |
Question 168107: did i solve this proportion correctly?
(2x+4)/5=30/25
(25)(2x+4)=(5)(30)
50x+29=150
50x+29-29=150-29
50x=121
(50x)/50=(121)/50
x=2.42: did i solve this proportion correctly?
(2x+4)/5=30/25
(25)(2x+4)=(5)(30)
50x+29=150
50x+29-29=150-29
50x=121
(50x)/50=(121)/50
x=2.42
Answer by Alan3354(1187) (Show Source):
You can put this solution on YOUR website!did i solve this proportion correctly?
(2x+4)/5=30/25
(25)(2x+4)=(5)(30)
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25*(2x+4) is 50x + 100, not 29. You would have gotten it right, even tho you went the long way around, except for that.
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50x+29=150
50x+29-29=150-29
50x=121
(50x)/50=(121)/50
x=2.42
------------------
No.
(2x+4)/5=30/25 = 6/5
2x+4 = 6
2x = 2
x = 1
I don't know why you call it a "proportion", it's an equation.
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Question 167933This question is from textbook
: Section 5-4
The amount of gold jewelry and other products is measured in karats(K), where 24K represents pure gold, the mark 14k on a chain indicates that the ration between the mass of the chain is 14:24. If a gold ring is marked 18k and it weighs 0.4 oz, what is the value of the gold in the ring if pure gold in value at $300 per oz?This question is from textbook
: Section 5-4
The amount of gold jewelry and other products is measured in karats(K), where 24K represents pure gold, the mark 14k on a chain indicates that the ration between the mass of the chain is 14:24. If a gold ring is marked 18k and it weighs 0.4 oz, what is the value of the gold in the ring if pure gold in value at $300 per oz?
Answer by ankor@dixie-net.com(4490) (Show Source):
You can put this solution on YOUR website!The amount of gold jewelry and other products is measured in karats(K), where 24K
represents pure gold, the mark 14k on a chain indicates that the ration between
the mass of the chain is 14:24. If a gold ring is marked 18k and it weighs 0.4
oz, what is the value of the gold in the ring if pure gold in value at $300 per oz?
:
Wouldn't just be:
 * .4 * 300 = $90
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Question 167974This question is from textbook
: Section 5-4
A Boeing 747 jet is approximately 230 ft long and has a wingspan of 195 ft. If a scale model of a plane is about 40cm long, what is the model's wingspan?This question is from textbook
: Section 5-4
A Boeing 747 jet is approximately 230 ft long and has a wingspan of 195 ft. If a scale model of a plane is about 40cm long, what is the model's wingspan?
Answer by stanbon(18754) (Show Source):
You can put this solution on YOUR website!A Boeing 747 jet is approximately 230 ft long and has a wingspan of 195 ft. If a scale model of a plane is about 40cm long, what is the model's wingspan?
------------------
Proportion:
x/40 = 195/230
x = 33.91 cm
====================
Cheers,
Stan H.
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Question 167799This question is from textbook Beginning and Intermediate Algebra
: Use a proportion to solve. Floral designers often create arrangements where the glower height to container ratio is 5 to 3. The FIU Art Museum wishes to create a floral display for the opening of a new show. They know they want to use an antique Chinese vase from their collection that is 13 inches high. How tall will the entire flower arrangement be if they use this standard ratio? Now I tried to work this out and I did  with my final answer 22 inches but that is not correct.This question is from textbook Beginning and Intermediate Algebra
: Use a proportion to solve. Floral designers often create arrangements where the glower height to container ratio is 5 to 3. The FIU Art Museum wishes to create a floral display for the opening of a new show. They know they want to use an antique Chinese vase from their collection that is 13 inches high. How tall will the entire flower arrangement be if they use this standard ratio? Now I tried to work this out and I did with my final answer 22 inches but that is not correct.
Answer by stanbon(18754) (Show Source):
You can put this solution on YOUR website!Use a proportion to solve. Floral designers often create arrangements where the flower height to container ratio is 5 to 3. The FIU Art Museum wishes to create a floral display for the opening of a new show. They know they want to use an antique Chinese vase from their collection that is 13 inches high. How tall will the entire flower arrangement be if they use this standard ratio?
--------------------
Proportion:
h/13 = 5/3
h = 65/3
h = 21 2/3 inches
=======================
Cheers,
Stan H.
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Question 167538: A PARTICULAR CAKE RECIPE SERVES 3 PEOPLE AND CALLS FOR 1.25 CUPS OF FLOUR AND 2 CUPS OF SUGAR.ANDRE SEARCHES HIS CUPBOARDS AND FINDS 3.25 CUPS OF FLOUR AND 8.75 CUPS OF SUGAR. IF HE USES THE RECIPE TO BAKE THE LRGEST CAKE POSSIBLE WITH THESE INGREDIENTS, HOW MANY PEOPLE WILL IT SERVE?: A PARTICULAR CAKE RECIPE SERVES 3 PEOPLE AND CALLS FOR 1.25 CUPS OF FLOUR AND 2 CUPS OF SUGAR.ANDRE SEARCHES HIS CUPBOARDS AND FINDS 3.25 CUPS OF FLOUR AND 8.75 CUPS OF SUGAR. IF HE USES THE RECIPE TO BAKE THE LRGEST CAKE POSSIBLE WITH THESE INGREDIENTS, HOW MANY PEOPLE WILL IT SERVE?
Answer by Mathtut(334) (Show Source):
You can put this solution on YOUR website!this question is rather ambiguous. does it have to be even servings?? or can it be partial?? Does the number of people have to be a whole number?? if it has to be even because 3.25/1.25=2.8 then we have to round down to 2 and 2 servings means 6 people served. On the other hand we can use all the ingrediants then we can make 2.8 servings and 2.8*3 = 8.4 people....we will have alot of unused sugar because the low amount of flour limits us. If one had more flour the sugar has the capabilities of making 4.375 servings.
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Question 167040: The ratio of Hispanic to Anglo students is 4:5. If the total number of students is 986, how many of them are Anglo?: The ratio of Hispanic to Anglo students is 4:5. If the total number of students is 986, how many of them are Anglo?
Answer by jojo14344(821) (Show Source): |
Question 167041: The ratio of Hispanic to Anglo students is 4:5. If the total number of students is 986, how many of them are Anglo?: The ratio of Hispanic to Anglo students is 4:5. If the total number of students is 986, how many of them are Anglo?
Answer by checkley77(3397) (Show Source):
You can put this solution on YOUR website!4:5=4+5=9 elements
986/9=109.555 value of each element
5*109.555=547.778 number of Anglos.
986-547.778=438.222 number of Hispanics.
Proof:
4/5=438.222/547.778
5*438.222=4*547.778
2,191.1=2,191.1
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Question 166908: Every 3 weeks the Story family drinks 24 bottles of juice. At this rate, how many bottles of juice will the family drink in 10 weeks?: Every 3 weeks the Story family drinks 24 bottles of juice. At this rate, how many bottles of juice will the family drink in 10 weeks?
Answer by Alan3354(1187) (Show Source):
You can put this solution on YOUR website! Every 3 weeks the Story family drinks 24 bottles of juice. At this rate, how many bottles of juice will the family drink in 10 weeks?
-------------------------
24 bottles in 3 weeks is 8 bottles per week.
In 10 weeks, they'll consume 8 x 10, or 80 bottles. If it's hot, maybe even more.
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Question 166867: If car A get's 27 miles to the gallon and car B gets 9 miles to the gallon car A uses 2 gallons to go 54 miles. How many gallons does car B use to go the same distance.
We know the answer...just need to know how to write it in proportions.: If car A get's 27 miles to the gallon and car B gets 9 miles to the gallon car A uses 2 gallons to go 54 miles. How many gallons does car B use to go the same distance.
We know the answer...just need to know how to write it in proportions.
Answer by Mathtut(334) (Show Source):
You can put this solution on YOUR website!well, logically if you think this out if car B gets 1/3 the mpg that Car A gets then any gas car A uses would mean that car B would uses 3 times that amount
the way you would write this as a proportion is
27mpg*2gal=9mpg*xgal where x is gal used by car B
54=9x and  ......how about that 3 times the amount of car A
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Question 166699: There is a class. The ratio is 5 boys to 4 girls. There are 65 boys. How many girls are there?: There is a class. The ratio is 5 boys to 4 girls. There are 65 boys. How many girls are there?
Answer by nerdybill(1042) (Show Source):
You can put this solution on YOUR website! There is a class. The ratio is 5 boys to 4 girls. There are 65 boys. How many girls are there?
.
Let g = number of girls in the class
.
4:5 = g:65
or
4/5 = g/65
g = (4*65)/5
g = 260/5
g = 52 (girls in the class)
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Question 166201: You spotted 22 fish and tagged them. The next week you spotted 21 fish and only seven were tagged. How many fish are in the river.: You spotted 22 fish and tagged them. The next week you spotted 21 fish and only seven were tagged. How many fish are in the river.
Answer by jojo14344(821) (Show Source): |
Question 166100This question is from textbook Algebra 1
: Find the unit rate. A 12-once bottle of juice costs $1.08. What is the cost per once? This question is from textbook Algebra 1
: Find the unit rate. A 12-once bottle of juice costs $1.08. What is the cost per once?
Answer by stanbon(18754) (Show Source):
You can put this solution on YOUR website!Find the unit rate. A 12-once bottle of juice costs $1.08. What is the cost per once?
-------------------
Use a proportion:
x/1 = 108/12
x = 9 cents
===============
Cheers,
Stan H.
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Question 166076: david is taking a long car trip. his gas tank holds about 16 gallons. he fills up at the beginning of the trip. he looks down at the dashboard after a while, and notices the tank is now around 3/4 full, and he has gone about 70 miles.
a)how far could he go on a full tank
b)his total trip is about 500 miles. how much gas will he use?: david is taking a long car trip. his gas tank holds about 16 gallons. he fills up at the beginning of the trip. he looks down at the dashboard after a while, and notices the tank is now around 3/4 full, and he has gone about 70 miles.
a)how far could he go on a full tank
b)his total trip is about 500 miles. how much gas will he use?
Answer by gonzo(436) (Show Source):
You can put this solution on YOUR website!1 tank = 16 gallons
70 miles uses up 1/4 tank
full tank will take him 4 times as far = 280 miles.
-----
since a full tank is 16 gallons, and he can go 280 miles, then he gets 280 / 16 gallons = 17.5 miles per gallon.
----
to travel 500 miles at 17.5 miles per gallon, he will use 500 / 17.5 = 28.57142857 gallons of gas.
-----
28.57142857 gallons / 16 gallons tank capacity = 1.785714286 tanks worth of gas.
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Question 165445: 9:62 The web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using a=.025? (See story.news.yahoo.com accessed June 25, 2004.): 9:62 The web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using a=.025? (See story.news.yahoo.com accessed June 25, 2004.)
Answer by Mathtut(334) (Show Source): |
Question 164305This question is from textbook algebra 1
: how do you write this is to a propotion........ what is 20% of 125.......This question is from textbook algebra 1
: how do you write this is to a propotion........ what is 20% of 125.......
Answer by algebrapro18(153) (Show Source):
You can put this solution on YOUR website!I don't know why you would have to do proprotions to solve this you can just convert it into an equation and simplify.
what is 20% of 125
what means x
is means =
20% means .20
of means times
125 means 125
what is 20% of 125
x = .2(125)
x = 25
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Question 163941: . An administrator of a popular web site is told that a new server can handle 41,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.
: . An administrator of a popular web site is told that a new server can handle 41,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.
Answer by gonzo(436) (Show Source):
You can put this solution on YOUR website!assuming the new server is already taking care of the current demand, then 3 servers must already be in service with a capacity of 3 * 41000 = 123000 hits.
-----
if you are currently experiencing 105000 hits per second, then you have spare capacity of 123000 = 105000 = 18000 hits per second.
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your expected growth in the next 24 months is 24 * 2800 = 67200 hits per second.
-----
subtract your spare capacity from the expected growth and you have 67200 - 18000 = 49200 growth that you don't have capacity for.
-----
divide that growth by 41000 and you will need 1.2 additional servers.
-----
since you can't buy .2 of a server, you will need 2 additional servers.
-----
not sure if this answers your question.
if it doesn't, then resubmit your question to get other answers.
-----
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Question 163940: 2. 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 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN. : 2. 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 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.
Answer by stanbon(18754) (Show Source):
You can put this solution on YOUR website!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 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.
-------------
Let "x" be the number of infected PCs.
EQUATION:
x/202 = 9/15
x/202 = 3/5
x = 121 1/5
------------
Rounding down: x= 121
==========================
Cheers,
Stan H.
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Question 163190: write as an equation that represents the relationship between the given variables. Use k as the variation constant.
F varies jointly as h and inversely as the square of r: write as an equation that represents the relationship between the given variables. Use k as the variation constant.
F varies jointly as h and inversely as the square of r
Answer by edjones(2391) (Show Source): |
Question 163011: Yolanda invests $6,000. Some of the money is invested in stocks paying 6% a year and some in bonds paying 11% a year. She receives a total of $580 each year from these investments. How much money is invested in stocks and how much money in bonds?: Yolanda invests $6,000. Some of the money is invested in stocks paying 6% a year and some in bonds paying 11% a year. She receives a total of $580 each year from these investments. How much money is invested in stocks and how much money in bonds?
Answer by jojo14344(821) (Show Source): |
Question 162894: If y varies directly as 2x to the power of 3 and y=54 when x =2 . find k: If y varies directly as 2x to the power of 3 and y=54 when x =2 . find k
Answer by ankor@dixie-net.com(4490) (Show Source):
You can put this solution on YOUR website!If y varies directly as 2x to the power of 3 and y=54 when x =2
Writing what I think it says: It's 2x^3 not (2x)^3
y =  k
:
find k when y = 54 and x=2
54 =  k
:
54 = 2(8)k
:
54 = 16k
k = 
k = 3.375
:
:
Check solution with this k when x = 2
y = 3.375*2*2^3
y = 3.375(2*8)
y = 3.375*16
y = 54
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Question 162901: The distance traveled by a car with constant speed is directly proportional to the length of time traveled. If the car travels 150km in 2 hr, then how far will it travel in 7 hrs?
: The distance traveled by a car with constant speed is directly proportional to the length of time traveled. If the car travels 150km in 2 hr, then how far will it travel in 7 hrs?
Answer by Anthea Lawn(11) (Show Source):
You can put this solution on YOUR website!Well, if it travels 150km in 2 hours, then in 1 hour it will have travelled half as far - ie 75km.
or,mathematically put : speed = distance / time = 150/2 = 75 km/h
So if it does 75km in 1 hour then in 7 hours it will go 7 times as far as that.
distance = 7 X 75 = 525 km.
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Question 162891: If y varies directly with x and y = 6 when x = 42 , find y when x =3
If y varies directly with x then y=Kx
(6)=K(42)
6/42= K(42)/42
1/7= K
REUSE FORMULA
y=Kx
y=(1/7)(3)
y=3/7
: If y varies directly with x and y = 6 when x = 42 , find y when x =3
If y varies directly with x then y=Kx
(6)=K(42)
6/42= K(42)/42
1/7= K
REUSE FORMULA
y=Kx
y=(1/7)(3)
y=3/7
Answer by eperette(63) (Show Source): |
Question 162895: If y= Kx and y=7 when x=3, then K=
y=Kx
7=K(3)
7/3 = K(3)/3
7/3= K: If y= Kx and y=7 when x=3, then K=
y=Kx
7=K(3)
7/3 = K(3)/3
7/3= K
Answer by eperette(63) (Show Source): |
Question 162897: The interests earned on an investment varies directly with interest rate. If a 10% rate gives 200$, the interest rate that gives 300$ is..: The interests earned on an investment varies directly with interest rate. If a 10% rate gives 200$, the interest rate that gives 300$ is..
Answer by checkley77(3397) (Show Source): |
Question 162855This question is from textbook beginning and intermidiate algebra
: Determine wether the line PQ is parallel or perpendicular or neither to a line with a slope of -2. P(-2,1) Q(6,5)
I did the following:y-1=-2(x--2)
y-1=-2x-4
y=-2x-3 i got this for p
for Q
y-5=-2(x-6)
y-5=-2x+12
y=-2x+17 so i thought they were parallel; but they are perpendicular i got this one wrong on my test but i do not know what i did wrong please helpThis question is from textbook beginning and intermidiate algebra
: Determine wether the line PQ is parallel or perpendicular or neither to a line with a slope of -2. P(-2,1) Q(6,5)
I did the following:y-1=-2(x--2)
y-1=-2x-4
y=-2x-3 i got this for p
for Q
y-5=-2(x-6)
y-5=-2x+12
y=-2x+17 so i thought they were parallel; but they are perpendicular i got this one wrong on my test but i do not know what i did wrong please help
Answer by jim_thompson5910(9168) (Show Source):
You can put this solution on YOUR website!Note: you don't need to find the equation of the line, you only need the slopes of two lines to figure if they are parallel, perpendicular, or neither
Slope of PQ:
![m=(y[2]-y[1])/(x[2]-x[1])](/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29&x=0003) Start with the slope formula.
 Plug in ![y[2]=5](/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=5&x=0003) , ![y[1]=1](/cgi-bin/plot-formula.mpl?expression=y%5B1%5D=1&x=0003) , ![x[2]=6](/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=6&x=0003) , and ![x[1]=-2](/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=-2&x=0003) . These values come from the points P(-2,1) and Q(6,5)
 Subtract  from  to get 
 Subtract  from  to get 
 Reduce
So the slope of the line that goes through the points P(-2,1) and Q(6,5) is
Since the product of the given slope -2 and the slope  is  , this means that the two lines are perpendicular.
Note: you used the same slope twice to get your answer. You forgot to calculate the slope of the line that goes through PQ (see above)
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Question 162718: Is this right? 5 is to 12 as x is to 48. I got x=20: Is this right? 5 is to 12 as x is to 48. I got x=20
Answer by checkley77(3397) (Show Source): |
Question 162463: x/8=x-5/6
I assume your problem is x/8=(x-5)/6; where (x-5) should all be above the 6, in this case by cross multiplying we obtain
6x=8(x-5)
6x=8x-40
6x-8x=8x-8x-40
-2x=0-40
-2x/-2=-40/-2
x=20
Lets check:
x/8 = (x-5)/6 ?
20/8 ? (20-5)/6
5/2 ? 15/6
5/2 = 5/2 answer is correct!
: x/8=x-5/6
I assume your problem is x/8=(x-5)/6; where (x-5) should all be above the 6, in this case by cross multiplying we obtain
6x=8(x-5)
6x=8x-40
6x-8x=8x-8x-40
-2x=0-40
-2x/-2=-40/-2
x=20
Lets check:
x/8 = (x-5)/6 ?
20/8 ? (20-5)/6
5/2 ? 15/6
5/2 = 5/2 answer is correct!
Answer by eperette(63) (Show Source): |
Question 162349This question is from textbook mc dougal littel middle school math
: 7.what number is 65% of 320?
9.what number is 120% of 55?
11.115 is 46% of what number?
13.62.4 is 80% of what number?
15.3 is what percent of 600?
19.112 is what percent of 0.01?
21.60% of 75 _ 75% of 60This question is from textbook mc dougal littel middle school math
: 7.what number is 65% of 320?
9.what number is 120% of 55?
11.115 is 46% of what number?
13.62.4 is 80% of what number?
15.3 is what percent of 600?
19.112 is what percent of 0.01?
21.60% of 75 _ 75% of 60
Answer by elima(1420) (Show Source):
You can put this solution on YOUR website!7.what number is 65% of 320?
.65(320)=208
9.what number is 120% of 55?
1.2(55)=66
11.115 is 46% of what number?
115/.46=250
13.62.4 is 80% of what number?
62.4/.8=78
15.3 is what percent of 600?
3/600=.005
19.112 is what percent of 0.01?
112/.01=11200
21.60% of 75 _ 75% of 60
I am guessing they are suppose to be equal to each other;
60% of 75 = 75% of 60
.6(75)=.75(60)
45=45
:)
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Question 162043: maria wax her car in 2 hours when she works with susan they can wax the car in 45 mins. how long will it take susan working by herself to wax the car?: maria wax her car in 2 hours when she works with susan they can wax the car in 45 mins. how long will it take susan working by herself to wax the car?
Answer by ankor@dixie-net.com(4490) (Show Source):
You can put this solution on YOUR website!Maria waxes her car in 2 hours. When she works with Susan, they can wax the car
in 45 mins. How long will it take Susan, working by herself, to wax the car?
:
Let x = time required by Susan by herself
:
Change 45 min to hrs: 45/60 = .75 hrs
:
Let the completed job = 1
:
Each will do a fraction of the job and will add up to 1
:
 +  = 1
Multiply equation by 2x to eliminate the denominators, solve for x
.75x + 2(.75) = 2x
:
.75x + 1.5 = 2x
:
1.5 = 2x - .75x
:
1.5 = 1.25x
x = 
x = 1.2 hrs, for Susan to do the job by herself
:
:
Check solution on a calc
.75/2 + .75/1.2 = 1
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Question 160041: The volume of a certain pipe varies directly with its length. The table below shows the volume of the pipe at two lengths. Find the volume of the pipe at the third length in the table.
Volume 30 gallons 45 gallons ?
Length 20 feet 30 feet 40 feet: The volume of a certain pipe varies directly with its length. The table below shows the volume of the pipe at two lengths. Find the volume of the pipe at the third length in the table.
Volume 30 gallons 45 gallons ?
Length 20 feet 30 feet 40 feet
Answer by edjones(2391) (Show Source): |
Question 159999: From a point on a straight road, two cars are driven in opposite directions, one at 58 miles per hour and the other at 62 miles per hour. In how many hours will they be 480 miles apart?: From a point on a straight road, two cars are driven in opposite directions, one at 58 miles per hour and the other at 62 miles per hour. In how many hours will they be 480 miles apart?
Answer by checkley77(3397) (Show Source): |
Question 159999: From a point on a straight road, two cars are driven in opposite directions, one at 58 miles per hour and the other at 62 miles per hour. In how many hours will they be 480 miles apart?: From a point on a straight road, two cars are driven in opposite directions, one at 58 miles per hour and the other at 62 miles per hour. In how many hours will they be 480 miles apart?
Answer by nerdybill(1042) (Show Source):
You can put this solution on YOUR website! From a point on a straight road, two cars are driven in opposite directions, one at 58 miles per hour and the other at 62 miles per hour. In how many hours will they be 480 miles apart?
.
You must apply the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
Let x = time driven
58x + 62x = 480
120x = 480
x = 4 hours
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Question 160000: a cashier has a total of 125 bills made up of fives and tens. The total value of the money is $815. How many ten-dollar bills does the cashier have?: a cashier has a total of 125 bills made up of fives and tens. The total value of the money is $815. How many ten-dollar bills does the cashier have?
Answer by nerdybill(1042) (Show Source):
You can put this solution on YOUR website! a cashier has a total of 125 bills made up of fives and tens. The total value of the money is $815. How many ten-dollar bills does the cashier have?
.
Let x = number of ten-dollar bills
then from "a cashier has a total of 125 bills" we know:
125-x = number of five-dollar bills
.
Since the total is 815:
10x + 5(125-x) = 815
10x + 625 - 5x = 815
5x + 625 = 815
5x = 190
x = 38
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Question 159997: A merchant has coffee worth $40 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the $40 coffee should be used?: A merchant has coffee worth $40 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $50 a pound. How many pounds of the $40 coffee should be used?
Answer by Fombitz(1740) (Show Source): |
Question 159922: 8% of 40% of what number is 6% of 90?
Thanks! :) : 8% of 40% of what number is 6% of 90?
Thanks! :)
Answer by Fombitz(1740) (Show Source): |
Question 159788: The fuel for a two-cycle motorboat engine is a mixture of gasoline and oil in the ratio of15 to 1. How many liters of each are in 6.6 L mixture ?: The fuel for a two-cycle motorboat engine is a mixture of gasoline and oil in the ratio of15 to 1. How many liters of each are in 6.6 L mixture ?
Answer by ptaylor(1326) (Show Source):
You can put this solution on YOUR website!The fuel for a two-cycle motorboat engine is a mixture of gasoline and oil in the ratio of 15 to 1. How many liters of each are in 6.6 L mixture ?
"the ratio of 15 to 1" means that for every 15L of gasoline, we add 1L of oil.
So if we have a 16L mixture, we would have 1L of oil and 15L of gas---OK
Now we can set up our ratio:
Let x=amount of oil in the 6.6L mixture
Then 6.6-x=amount of gas
16 is to 1 as 6.6 is to x and this is written in math terms as follows:
16/1=6.6/x multiply each side by x or cross multiply
16x=6.6 divide each side by 16
x=0.412L----amount of oil in the 6.6L mixture
6.6-x=6.6-0.412=6.188L-----amount of gas
CK
6.188/0.412=15/1
15~~~~~~15 roundoff error
Hope this helps--ptaylor
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