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Question 310674: This question was answered but I'm still confused. Can I please have some more help? High school was ten years ago, what little math ability I had is gone.
Thanks Again
My question is why is the quanity equation multiplied by 20 and not.2. Also when solving the two equations why does the 20a cancel, but not the 550? I know these are probably very simple, but I just don't understand.
How many ml of medication A which has a 20% concentration, and medication B which has a 65% concentration should be mixed to form a 550 ml solution that is 30.9%
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Equation:
Quantity Equation:::::::: a + b = 550 ml
Active Ingredient Eq: 0.20a + 0.65b = 0.309*550
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Solving using 2 equations and elimination:
Multiply thru the 1st equation by 20
Multiply thru the 2nd equation by 100
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20a + 20b = 20*550
20a + 65b = 30.9*550
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Subtract 1st from 2nd and solve for "b":
45b = 10.9*550
b = 133.22 ml (amt. of 65% solution needed in the mixture)
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Since a + b = 550, a = 416.78 ml (amt. of 20% solution needed in the mix)
Click here to see answer by solver91311(24713)  |
Question 311038: greg is supposed to add cranberry juice to apple juice to make 20 gallons of cranapple juice. A gallon of apple juice sells for $3.25 a gallon and a gallon of cranberry juice sells for $4.15. A gallon of cranapple juice sells for $3.43. How many gallons of each juice should he use in the mixture
Click here to see answer by nerdybill(7384)  |
Question 311246: hello we had a chap doing pre delivery inspections on diesel generators refering to the radiator; he was using acid containers to mix anti freeze and water i assume he did not rince the acid out before using containers now the radiators smell like strong amonia and the radiators are starting to leak ;my question is can a small part af battary acid damage the core and cause the radiator water to smell like amonia . thank you
Click here to see answer by Fombitz(32388)  |
Question 312904: A store mixes a Brazilian coffee worth worth $12 per kilogram and a Venezueluen coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find out how much of each should be used to make a 384-kilogram mixture.
I honest to God have no idea how to even start
Click here to see answer by mananth(16946)  |
Question 312904: A store mixes a Brazilian coffee worth worth $12 per kilogram and a Venezueluen coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find out how much of each should be used to make a 384-kilogram mixture.
I honest to God have no idea how to even start
Click here to see answer by josmiceli(19441)  |
Question 312892: Tina has 2 credit cards that have a total balance of $32,400. One card has an interest rate of 10% and the other has an interest rate of 8%. The first year accumulated $1892 in interest charges. How much was the loan on each credit card?
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Question 313228: A 30-lb mixture of dried cranberries and blueberries costs $8.98 per pound. The mixture contains 12 pounds of dried cranberries that coast $4.99 per pound. What is the cost per pound of the dried blueberries?
Click here to see answer by Fombitz(32388)  |
Question 313580: a flock of geese on a pond were being observed continuously
1:00 p.m. 1/5 of the geese flew away
2:00 p.m. 1/8 of the geese that remained flew away.
3:00 p.m. 3 times as many geese as had flown away at 1:00 p.m. flew away, leaving 28 geese on the pond. At no other time did any geese arrive or fly away of die. How many geese were in the original flock?
Click here to see answer by OmniMaestra(21)  |
Question 313732: Type A sugar normally costs 75pesos per kilogram. It is mixed with Type B, which normally costs 80 pesos per kilogram, to form a mixture that costs 78pesos per kilogram. If there are 10 kilograms of the mixture, how many kilograms of Type A were used?
Click here to see answer by mananth(16946)  |
Question 313923: While in Europe, Allison heard a weather forecast that said the temperature would be 22°C (this is about 74°F). Give a rule that could give Allison an easy way to convert from Celsius to Fahrenheit.
A.Double the Celsius temperature and add 30. B)Triple the Celsius temperature and add 30. C)Triple the Celsius temperature and subtract 10. D)Add 52 to the Celsius temperature
Click here to see answer by rfer(16322) |
Question 314779: 1. Sam invested some money at 7% and then invested $4,000 more than twice this amount at 9%. His total annual income from the two investments was $2,860. How much was invested at 9%?
2. How many liters of a 10% alcohol soultion must be mixed with 30 liters of a 40% solution to get a 20% solution?
Click here to see answer by stanbon(75887) |
Question 314820: the longest side of a right triangle is 9 inches longer than the shortest side. the remaining side is 2 inches shorter than the longest side. find the lengths of the sides by writing an equation and solving it.
show work please.
Click here to see answer by mananth(16946)  |
Question 315125: If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per second,then its height after t seconds is given by the equation h= -16t^2+80t+96 where h is in feet. After how many seconds will the object reach a height of 196 feet.
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