Questions on Word Problems: Mixtures answered by real tutors!

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Question 172841: solve
A) the circumference of a circle is 2,500 cm. Find its diameter and its area ( approximate to nearest tenth place.)
B) An electrician wants to cut a 30-foot electric wire into 3 pieces. The longest piece is to be four times as long as the shortest and the middle-sized piece is to be 2 feet less than three times the shortest piece. Write the equation. And find the length of each of the pieces.

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Question 172887: The amount of an investment
of P dollars for t years at simple interest rate r is given by
A + P = Prt.
Rewrite this formula by factoring out the greatest
common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simpleinterest rate of 15%.

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Question 173392: A Christmas tree supplier mixes gasoline and oil to make 2 gallons of mixture for his 2-cycle chain saw engine. This mixture is 32 parts gasoline and 1 part oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and 1 part oil?
Click here to see answer by Mathtut(3670) About Me 

Question 173839: how do you solve and check the following problems using the substition method?
x+3y=23
3x-2y=3

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Question 173838: how do you solve and check the following problems using the substition method?
y=5x
2x+y=28

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Question 174061: Upstream, downstream. Junior’s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Click here to see answer by stanbon(75887) About Me 

Question 174068: Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population?
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Question 174086: how do you solve a-1/a+1 + a+1/a-1
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Question 174084: how do you find the least common denominator of 3/4,3/8,1/5
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Question 174082: How do you simplify by dividing n^3-27/n-3
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Question 174062: Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population?
Click here to see answer by checkley77(12844) About Me 

Question 174074: How do you solve a^2-2AB+B^2/A+B
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Question 174075: HOW DO YOU SOLVE 2x^2+x-6/2x+4
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Question 174080: how do you solve x^2+5x+4/(x+3)^2 divided by x+1/x^2-9
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Question 174079: how do you simplify x^2-9/x+2 times x+1/x^2-9
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Question 174143: When a ball is thrown, its height in feet h after t seconds is given by the equation
h=vt-16t^2

where v is the initial upwards velocity in feet per second. If v=15 feet per second, find all values t of for which h=3 feet. Do not round any intermediate steps. Round your answer to 2 decimal places.

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Question 174077: some students simplify 2x^2-32/x-4 as 2x-8/x-4 =2x-8. choose values of x to mshow this is not true. Then simplify it correctly.
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Question 174351: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train and the speed of the car. Please solve step by step.
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Question 174348: If the area of the rectangular is 645ft and the length is 12ft larger than the width find its length and its width. please solve in step by step.
Click here to see answer by nerdybill(7384) About Me 

Question 174424: takes the length=12 and width=4 of a rectangular yard and the length and width of a rectangular house situated in the yard. Your should compute the time required to cut the grass at the rate of two square feet a second.
solve this question .its urgent

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 174608: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8t^2=pi^2 L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by checkley77(12844) About Me 

Question 174609: Sharing cost. The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
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Question 174609: Sharing cost. The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Click here to see answer by stanbon(75887) About Me 

Question 174658: A mixture is 90% water. The water weighs 20lbs. The mixture rests for 24 hours and is now only 50% water. No evaporation has occurred. Now how much does the water weigh?
Click here to see answer by Mathtut(3670) About Me 

Question 174860: The ratio of yes votes to no votes in an election was 8 to 5. How many total votes were cast if there were 4624 yes votes cast?

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Question 175007: Suppose Charlie O’Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
Use the formula to determine how long it takes the ball to return to the earth.

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Question 175008: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
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Question 175009: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
Click here to see answer by Mathtut(3670) About Me 

Question 175010: Who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.
Formula:
w=91.4-(10.5+6.7 square root v - 0.45v)(457-5t)/110


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Question 175123: How many millimeters of water must be evaporate from 160mL of a 20% iodine solution to make it a 40% iodine solution?
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Question 175382: How many U.S quarts are contained in 12 L?
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Question 175791: Laura runs miles in minutes. At the same rate, how many miles would she run in minutes?
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Question 175792: Find the slope of the line graphed (3,8)(7,-7)
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Question 175795: Laura runs 6 miles in 65 minutes. At the same rate, how many miles would she run in 52 minutes?




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Question 175758: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
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Question 176011: thomas is going to make an open top box by cutting equal squares from the four corners on an 11 inch by 14 inch sheet of cardboard and folding up the sides. if the area of the base is to be 80 sqare inches then what size should be cut from each corner?


Click here to see answer by Mathtut(3670) About Me 

Question 176010: thomas is going to make an open top box by cutting equal squares from the four corners on an 11 inch by 14 inch sheet of cardboard and folding up the sides. if the area of the base is to be 80 sqare inches then what size should be cut from each corner?


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Question 176106: Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?

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Question 176341: How many kg of corn that cost P40 per kg must be mixed with 10kg of peanut that cost P80 per kg to make a mixture that cost P55 per kg?
Click here to see answer by ptaylor(2198) About Me 

Question 176340: please help me with my assignment.. thank you..
how many liters of a face cream that cost P3360 per liter must be mixed with 12 liters of face cream that cost P1120 to make a face cream that cost P1650 per liter?

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Question 176700: In January of the year 2000, my husband John was 11 times as old as my son william. In January of 2012, he will be three times as old as my son. How old was my son in January of 2000?
Can you show me step by step to solve it in a system of equations?

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Question 176763: A spice mixture is 25% thyme. How many grams of thyme must be added to 12g of the mixture to increase the thyme content to 40%?
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Question 177296: A gallon of a 25% saline solution is to be diluted by adding distilled water to it. Let x= number of gallons of distilled water added to the gallon of 25% saline solution. Write an algebraic expression in for:
The percent saline solution obtained by adding the distilled water to the original 25% solution.

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Question 177529: A 16-quart radiator contains a 50% solution of antifreeze. How much needs to be drained out and replaced with pure antifreeze to obtaina a 60% antifreeze solution?
Click here to see answer by Mathtut(3670) About Me 

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, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245