Questions on Algebra: Proportions answered by real tutors!

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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?
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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?
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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?
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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?
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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

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Question 161290: 14>7y-21
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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?
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Question 162349: 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

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Question 162461: x/8=x-5/6
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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!

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Question 162718: Is this right? 5 is to 12 as x is to 48. I got x=20
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Question 162855: 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

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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..
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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

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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

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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?

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Question 162894: If y varies directly as 2x to the power of 3 and y=54 when x =2 . find k
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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?
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Question 163220: Proportions and Percents:Find 53% of 76,550
53% of 76,550 = 53/100 x 76,550 = ???

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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

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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.
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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.

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Question 164305: how do you write this is to a propotion........ what is 20% of 125.......
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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.)
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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?

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Question 166100: Find the unit rate. A 12-once bottle of juice costs $1.08. What is the cost per once?
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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.
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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?
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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.

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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?
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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?
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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?
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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?
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Question 167799: 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 5%2F3=x%2F13 with my final answer 22 inches but that is not correct.
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Question 167974: 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?

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Question 167933: 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?

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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

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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

Click here to see answer by oscargut(2103) About Me 

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

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Question 168258: what are the three kinds of proportion?
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Question 168369: Let y be 10% of a number. What is 50% of the number? Write your answer in terms of y.
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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.
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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.
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Question 168763: Tom, Dick and Mary decided to share expenses for a class party. Tom bought $28 worth of pizza, Dick bought $20 worth of ice cream,and Mary bought $15 worth of soft drinks. How much should each person pay in order that each of them spends the same amount of money and how might they accomplish this?
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Question 168763: Tom, Dick and Mary decided to share expenses for a class party. Tom bought $28 worth of pizza, Dick bought $20 worth of ice cream,and Mary bought $15 worth of soft drinks. How much should each person pay in order that each of them spends the same amount of money and how might they accomplish this?
Click here to see answer by Mathtut(3670) About Me