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Percentage-and-ratio-word-problems/692386: A metal is made by adding copper aand zinc in the ratio of 3:11. This new metal is then taken and mixed with more zinc in the raio 2:3. how much copper would be there in 4200kg of the final metal? 1 solutions Answer 427060 by ankor@dixie-net.com(15746)   on 2012-12-10 21:14:43 (Show Source): You can put this solution on YOUR website! A metal is made by adding copper and zinc in the ratio of 3:11. This new metal is then taken and mixed with more zinc in the ratio 2:3. how much copper would be there in 4200kg of the final metal? : Find what fraction is zinc in the first metal: = : Mixed with more zinc 2:3 = is zinc then * = is now zinc then - = is now copper : *4200 = 2220 kg is copper

Proportions/692562: a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. How can you fix the mixture to make the correct shade of red? 1 solutions Answer 427056 by ankor@dixie-net.com(15746)   on 2012-12-10 20:11:48 (Show Source): You can put this solution on YOUR website! a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. How can you fix the mixture to make the correct shade of red? : The red:yellow ratio is 7:2, we can write the mixture as or 77.8% red : The existing mixture of 35:8 is a 43 quart mixture and can be written as: or 81.4% red : we need to add yellow to reduce the per cent of red : Let y = amt of yellow required to do this : *(y+43) = 35 Multiply both sides by 9 7(y+43) = 9 * 35 7y + 301 = 315 7y = 315 - 301 7y = 14 y = 14/7 y = 2 quarts of yellow to be added, for total mixture of 45 quarts ; : Check this, it still contains 35 quarts of red but the percentage has changed = 77.8% red which is what we want, a ratio of 7:2

Numbers_Word_Problems/692536: y varies jointly as m and the square root of n and inversely as p. y=15 when m=2,n=1, and p=6. find y when m=3,n=4, and p=10 1 solutions Answer 427051 by ankor@dixie-net.com(15746)   on 2012-12-10 19:19:56 (Show Source): You can put this solution on YOUR website! y varies jointly as m and the square root of n and inversely as p. y = : y=15 when m=2,n=1, and p=6. let k = the constant of variation = y then replace y, m, n, and p; find k = 15 = 15 2k = 15 * 6 2k = 90 k = 90/2 k = 45 then y = is our equation : find y when m=3, n=4, and p=10 y = y = y = y = 27

Average/692263: I was trying to figure out how many points I would have to earn in order to at least pass my class with a D or C. There are 585 total points possible. The grading scale is A=93%, A-=90%, B+=87%, B=83%, B-=80%, C+=77%, C=73%, C-=70%, D=60%, F=below 60%. Pass=70% & above, Fail=below70%. Please help, I can't figure this out and I really need to know. Thank you. 1 solutions Answer 426998 by ankor@dixie-net.com(15746)   on 2012-12-10 15:51:25 (Show Source): You can put this solution on YOUR website! For a grade 60 = .60 g = .60 * 585 g = 351 points : For a grade of 70 = .70 g = .70 * 585 g = 409.5 points

Linear-systems/692384: I need with a Linear Equations Word problem in Algebra 1. Here it is: One pipe can be used to fill a tank in 48 min and another can be used to fill it in 1 hour and 12 min. How long will it take to fill the tank if both pipes are used. 1 solutions Answer 426995 by ankor@dixie-net.com(15746)   on 2012-12-10 15:38:09 (Show Source): You can put this solution on YOUR website! One pipe can be used to fill a tank in 48 min and another can be used to fill it in 1 hour and 12 min. How long will it take to fill the tank if both pipes are used. : Convert 1 hr 12 min, to min: 60 + 12 = 72 min : Let t = time (in min) to fill the tank using both pipes ; Let the competed job = 1; (a full tank) : Each pipe will do a fraction of the job, the two fractions add up to 1 : + = 1 Multiply by the least common multiple to clear the denominators 144* + 144* = 144 cancel the denominators and you have 3t + 2t = 144 5t = 144 t = 144/5 t = 28.8 min working together : : : Check this using a calc + = .6 + .4 = 1; confirms our solution to 28.8

Numeric_Fractions/691774: solve for x a) 32^x+4=8^3x-2 1 solutions Answer 426907 by ankor@dixie-net.com(15746)   on 2012-12-09 18:45:43 (Show Source): You can put this solution on YOUR website! solve for x Assume the problem is: a) 32 = 2^5, and 8 = 2^3, therefore we can write this if the base is equal the exponents are equal, write it: 5(x+4) = 3(3x-2) 5x + 20 = 9x - 6 20 + 6 = 9x - 5x 26 = 4x x = 26/4 x = 6.5 : : Check this on your calc, enter both, compare the results 32^(6.5+4) and 8^(3(6.5)-2)

Linear-equations/691874: hello their im extremity confused about what to do for this problem, please help:) directions that were given: write an equation in slop-intercept from using the given information problem: passes though (-3,5), slop 2 1 solutions Answer 426904 by ankor@dixie-net.com(15746)   on 2012-12-09 18:27:21 (Show Source): You can put this solution on YOUR website! (-3,5), slope = 2 Start with point slope form: y - y1 = m(x - x1) In this problem x1 = -3 y1 = 5 m = 2 : y - 5 = 2(x - (-3)) y - 5 = 2(x + 3 y - 5 = 2x + 6 y = 2x + 6 + 5 y = 2x + 11; is the slope/intercept form

Age_Word_Problems/691854: In four years a mother will be five times as old as her daughter. At present the mother is nine times as old as the daughter. How old are the mother and daughter today? 1 solutions Answer 426896 by ankor@dixie-net.com(15746)   on 2012-12-09 17:38:33 (Show Source): You can put this solution on YOUR website! In four years a mother will be five times as old as her daughter. At present the mother is nine times as old as the daughter. How old are the mother and daughter today? : Let m = Mom's age Let d = Daughter's age : Write an equation for each statement. : " In four years a mother will be five times as old as her daughter." m + 4 = 5(d+4) m + 4 = 5d + 20 m = 5d + 20 - 4 m = 5d + 16 : " At present the mother is nine times as old as the daughter.' m = 9d : Replace m with 9d in the 1st equation 9d = 5d + 16 9d - 5d = 16 4d = 16 d = 4 yrs is the daughter then 9(4) = 36 yrs is Mom

Percentage-and-ratio-word-problems/691741: nine divided by the difference of a number and 2 minus 8 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared and 4. What is the number? 1 solutions Answer 426846 by ankor@dixie-net.com(15746)   on 2012-12-09 13:43:59 (Show Source): You can put this solution on YOUR website! Write an equation for just what it says: : nine divided by the difference of a number and 2 minus 8 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared and 4. - = 6* Factor the the 3rd denominator - = 6* Multiply thru by the common denominator, cancel the denominators, results: 9(n+2) - 8(n-2) = 6 9n + 18 - 8n + 16 = 6 9n - 8n = 6 - 34 n = -28 is the number : : See if that works - = 6* using a calc - = 6* -.3 - (-.3077) = .0077 -.3 + .3077) = .0077

Miscellaneous_Word_Problems/691561: Jose and Carl together can retile a roof in 10 hours. Working alone, Jose could do the job 4.5 hours faster than Carl. How long would each man need to work to do the job himself? 1 solutions Answer 426770 by ankor@dixie-net.com(15746)   on 2012-12-08 22:00:37 (Show Source): You can put this solution on YOUR website! Jose and Carl together can retile a roof in 10 hours. Working alone, Jose could do the job 4.5 hours faster than Carl. How long would each man need to work to do the job himself? : Let j = Jose's time to do the job then (j+4.5) = Carl's time : Let the competed job = 1 : + = 1 multiply by j(j+4.5) to clear the denominators, results: 10(j+4.5) + 10j = j(j+4.5) 10j + 45 + 10j = j^2 + 4.5j A quadratic equation 0 = j^2 + 4.5j - 20j -45 j^2 - 15.5j - 45 = 0 : solve this, the positive solution; j = 18 hrs

logarithm/691513: please help me solve this logarithm for x: y-3=(1/2)^x-2 I am sorry but I really do not know where to start. 1 solutions Answer 426747 by ankor@dixie-net.com(15746)   on 2012-12-08 20:07:48 (Show Source): You can put this solution on YOUR website! solve this logarithm for x: y-3=(1/2)^x-2 Assume you mean: Start by finding the log of each side the log equiv of exponents Divide both sides by log(1/2) = x - 2 Add 2 to both sides x = + 2

Linear-systems/691410: The sum of the digits of a two digit number is 1. The number formed by reversing the number is 4 less than 5 times the number. Find the original number? Can you please help me out with this question I really don't understand? thanks in advance. 1 solutions Answer 426740 by ankor@dixie-net.com(15746)   on 2012-12-08 19:23:13 (Show Source): You can put this solution on YOUR website! let a = the 10's digit let b = the ones then 10a+b = the two digit number and 10b+a = the number with reversed digits : Write an equation for each statement: : "The sum of the digits of a two digit number is 1," indicates that something is wrong as written, no two positive integers are equal to 1 : Try to solve it without knowing the sum of the digits : The number formed by reversing the number is 4 less than 5 times the number. 10b + a = 5(10a+b) - 4 10b + a = 50a + 5b - 4 10b - 5b = 50a - a - 4 5b = 49a - 4 Divide both sides by 9 b = a - A little thought here reveals that if a = 1, we have b = - b = b = 9 : a = 1, is the only value that makes b an integer : Our number is 19 : Check this in the statement: "The number formed by reversing the number is 4 less than 5 times the number." 91 = 5(19) - 4 91 = 95 - 4 : The 1st statement should have read The sum of the digits is 10

Rate-of-work-word-problems/691189: if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together? ive tried taking the average but i was told it wasnt right without an explanation and then i tried using equations but then i couldnt put it together. 1 solutions Answer 426722 by ankor@dixie-net.com(15746)   on 2012-12-08 18:04:59 (Show Source): You can put this solution on YOUR website! if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together? : Let t = time required to fill it with both faucets on Let the completed job = 1; (a full sink) : Each faucet will do a fraction of the job, the two fractions add up to 1 : + = 1 Multiply by 6 to clear the denominators, resulting in: 2t + 3t = 6 5t = 6 t = 6/5 t = 1.2 minutes working together : : : Check this + = .4 + .6 = 1

Exponential-and-logarithmic-functions/691374: 1) suppose that g(x) = 5^x - 3. a) what is g(0)? b) What point is on the graph of g? c) If g(x) = 622, what is the value of x? 2) Solve the logarithmic equation: 4e^(y+1) = 5 3) Write the given expression as a single logarithm: 21(log3)(third root of w)+(log3)(9w^2)-(log3)9 Completely lost and have no idea on how to do these. Help please. 1 solutions Answer 426713 by ankor@dixie-net.com(15746)   on 2012-12-08 16:16:55 (Show Source): You can put this solution on YOUR website! 1) suppose that g(x) = 5^x - 3. a) what is g(0)? g(0) = 5^0 - 3 any term with an exponent of 0 is equal to 1, therefore g(0) = 1 - 3 g(0) = -2 : b) What point is on the graph of g? Let x = 2 g(2) = 5^2 - 3 g(2) = 25 - 3 g(2) = 22 Point 2, 22 is on the graph : c) If g(x) = 622, what is the value of x? x = 622 : 2) Solve the logarithmic equation: 4e^(y+1) = 5 divide both sides by 4 e^(y+1) = 5/4 e^(y-1) = 1.25 Using nat logs ln(e^(y-1) = ln(1.25) The log equiv of exponent (y-1)*ln(e) = ln(1.25) the ln of e is one so we have y - 1 = .223 y = .223 + 1 y = 1.223 Check this on your calc: enter: 4*e^(1.223-1), results: 4.999 ~ 5 : 3) Write the given expression as a single logarithm: 21(log3)(third root of w)+(log3)(9w^2)-(log3)9 Assume you mean: the exponent equiv = Adding logs is multiply, subtracting logs is divide =

Polynomials-and-rational-expressions/691243: Pump A can fill a tank in 15 hours, pump B can fill the same tank in 19 hours 20mins. If both pumps were pumping, how long will it take to fill the tank?? Part 2. If pump A was pumping into the tank and pump B was pumping out of the tank, how long will it take to fill the tank?? Thanks everyone!! 1 solutions Answer 426614 by ankor@dixie-net.com(15746)   on 2012-12-07 21:06:14 (Show Source): You can put this solution on YOUR website! Pump A can fill a tank in 15 hours, pump B can fill the same tank in 19 hours 20mins. If both pumps were pumping, how long will it take to fill the tank?? : Let t = time to fill the tank with both pumps working Let the completed job = 1, (a full tank) Change 19 hr 20 min to 19.33 hrs : each will do a fraction of the job, the two fractions add up to 1 : + = 1 multiply by 290 (15*19), results 19.333t + 15t = 290 34.333t = 290 t = 290/34.333 t = 8.4466 hrs or 8 + .4466*60 = 8 hrs 26.8 minutes pumping together : Part 2. If pump A was pumping into the tank and pump B was pumping out of the tank, how long will it take to fill the tank?? : Same values except pump B is subtracted - = 1 multiply by 290 (15*19), results 19.333t - 15t = 290 4.333t = 290 t = 290/4.333 t = 66.923 hrs or 66 + .923*60 = 66 hrs 55.4 minutes

Travel_Word_Problems/691238: the distance between A and B is 80km a train from A is going towards B with a speed of 60 km/hr and a train comes from point B towards a with a speed of 100km/hr where is point C if they will meet at the same time? 1 solutions Answer 426594 by ankor@dixie-net.com(15746)   on 2012-12-07 19:54:32 (Show Source): You can put this solution on YOUR website! The distance between A and B is 80km A train from A is going towards B with a speed of 60 km/hr; and a train comes from point B towards A with a speed of 100km/hr Where is point C if they will meet at the same time? the phrase "meet at the same time" makes no sense. : Assume you mean, "Where is C, the point that they meet?" : let c = distance from A then (80-c) = distance from B : Write a time equation, time = dist/speed : A's travel time = B's travel time = Cross multiply 100c = 60(80-c) 100c = 4800 - 60c 100c + 60c = 4800 160c = 4800 c = 4800/160 c = 30 km from A, is where they meet : : Prove this by finding the travel time of each train, should be equal 30/60 = .5 hrs (80-30)/100 = .5 hrs

Linear-systems/691201: I need help solving this equation using the elimination method: x+6y=79 x-4y=-41 1 solutions Answer 426593 by ankor@dixie-net.com(15746)   on 2012-12-07 19:31:58 (Show Source): You can put this solution on YOUR website! solve this equation using the elimination method: x + 6y = 79 x - 4y =-41 ------------Subtraction eliminates x, find y 10y = 120 y = 120/10 y = 12 : Find x using the 1st equation x + 6(12) = 79 x + 72 = 79 x = 79 - 72 x = 7 : : Check solutions of x=7, y=12 in 2nd equation 7 - 4(12) = -41 7 - 48 = -41

Rational-functions/690058: please help: if f(x)=(5x+B)/(2x-A) and f(2)=0, f(4)=undefined, then find A and B Thanks for any help 1 solutions Answer 426591 by ankor@dixie-net.com(15746)   on 2012-12-07 19:23:11 (Show Source): You can put this solution on YOUR website! if f(x)=(5x+B)/(2x-A) and f(2)=0, f(4)= undefined, then find A and B : Find A first, f(4) undefined, division by 0, so we have 2x - A = 0 x=4 2(4) - A = 0 8 - A = 0 A = 8 : Replacing A with 8, f(2) = 0 x = 2 = 0 = 0 B=-10

test/691227: |x-3|-1=4 1 solutions Answer 426588 by ankor@dixie-net.com(15746)   on 2012-12-07 19:07:51 (Show Source): You can put this solution on YOUR website! |x-3|-1 = 4 Add 1 to both sides |x-3| = 5 Two solution x - 3 = 5 x = 5 + 3 x = 8 and x - 3 = -5 x = -5 + 3 x = -2 : Check both solutions in the original problem

test/690636: What is the area of a circle that is inscribed in a square with an area of 4? 1 solutions Answer 426587 by ankor@dixie-net.com(15746)   on 2012-12-07 19:03:46 (Show Source): You can put this solution on YOUR website! What is the area of a circle that is inscribed in a square with an area of 4? If the area of the square is 4, this sides are 2 2 is also the diameter of the inscribed circle, radius = 1 A = A = 3.14 sq in, area of the circle

Travel_Word_Problems/691166: Betty works in regional shipping. She has to calculate when a load will arrive at its destination. She knows that the ship travels at 15 mph when under load and 20 mph when empty. The ship leaves the port empty at 12:00 PM and arrives at its destination at 3:00 PM. It takes an hour to fully load the ship and depart back to the originating port. What time will the fully loaded ship return to the originating port? 1 solutions Answer 426577 by ankor@dixie-net.com(15746)   on 2012-12-07 17:15:07 (Show Source): You can put this solution on YOUR website! the ship travels at 15 mph when under load and 20 mph when empty. The ship leaves the port empty at 12:00 PM and arrives at its destination at 3:00 PM. Empty travel time = 3 hrs Trip distance: 3 * 20 = 60 miles : It takes an hour to fully load the ship and depart back to the originating port. What time will the fully loaded ship return to the originating port? : Write a time equation for the return trip (loaded) load time + travel time 1 + = 5 hrs from 3 pm = 8Pm

Exponential-and-logarithmic-functions/691108: Find the exact value for the solution of the equation. log((x^2)+4)-log(x+2)=2+log(x-2) I have the answer in the back of my book and it says the answer is: (2/3)*(sqrt(101/11))=~2.02 But every way I've tried didnt work. Please help! and thank you! 1 solutions Answer 426575 by ankor@dixie-net.com(15746)   on 2012-12-07 16:47:46 (Show Source): You can put this solution on YOUR website! exact value for the solution of the equation. log(x^2+4)-log(x+2) = 2+log(x-2) subtracting indicates divide so we can write it = 2 + log(x-2) Subtract log(x-2) from both sides - log(x-2) = 2 which we can combine = 2 which is = 2 find the antilog (10^x) of both sides (10^2 = 100) = 100 multiply both sides by x^2-4 combine like terms 0 = 100x^2 - x^2 - 400 - 4 99x^2 - 404 = 0 99x^2 = 404 x^2 = x = x = Extract the square roots of the perfect squares x =* x ~ 2.02

Graphs/690742: Please help!! Find the equation of the line which contains P(-3,-5) and which is perpendicular to the y-axis 1 solutions Answer 426570 by ankor@dixie-net.com(15746)   on 2012-12-07 16:17:36 (Show Source): You can put this solution on YOUR website! Find the equation of the line which contains P(-3,-5) and which is perpendicular to the y-axis : That's a horizontal line passing thru y=-5 y = -5 is the equation

logarithm/690607: Solve using logs. 5^2x = 11 Please show each step! Thank you! :) 1 solutions Answer 426569 by ankor@dixie-net.com(15746)   on 2012-12-07 16:13:50 (Show Source): You can put this solution on YOUR website! Solve using logs. 5^2x = 11 = the log equiv of exponents = \ divide both sides by log(5) 2x = using your calc 2x = 1.489896 x = x ~ .745 : ; You can check this on your calc: enter 5^(2*.745), results: 11.00

Linear-equations/690658: 18x+2y=96 please find the slope of the line given plzzzzz!! 1 solutions Answer 426563 by ankor@dixie-net.com(15746)   on 2012-12-07 16:05:49 (Show Source): You can put this solution on YOUR website! 18x+2y=96 Put the equation into the slope intercept form y = mx + b subtract 18x from both sides 2y = -18x + 96 divide both sides by 2 y = -9x + 48 the slope is -9

Percentage-and-ratio-word-problems/690635: jennifer is a 75% free-throw shooter. if she shot 44 free-throws this year how many did she miss? need help figureing out how to solve problems like this please 1 solutions Answer 426561 by ankor@dixie-net.com(15746)   on 2012-12-07 16:02:43 (Show Source): You can put this solution on YOUR website! jennifer is a 75% free-throw shooter. if she shot 44 free-throws this year how many did she miss? : The total shots are 100%, so if she made 75%, she missed 25%, right? therefore .25 * 44 = 11 shot missed : : To confirm this, find how many shot she made: .75 * 44 = 33 shots made then to check this 11 + 33 = 44 shots total

Quadratic_Equations/691053: could you please help me with this question? how long does it take a ball to reach maximum height with the formula where h= height and t=seconds 1 solutions Answer 426555 by ankor@dixie-net.com(15746)   on 2012-12-07 15:48:26 (Show Source): You can put this solution on YOUR website! how long does it take a ball to reach maximum height with the formula h=-16t^2+24t+30 where h= height and t=seconds : The max height occurs at the axis of symmetry which we can find with the formula x = -b/(2a) In this equatio t = t = t = +.75 seconds to reach max height : To find max height, replace t with .75 h = -16(.75^2) + 24(.75) + 30 h = -16(.5625) + 18 + 30 h = -9 + 18 + 30 h = 39 ft is max height occurring .75 seconds after launch : Here is a graph of that equation, showing this very clearly

Radicals/691072: Please help solve this ! The question states. Explain each step in your solution. √(3x^2 )+10x-5=0 Thank you 1 solutions Answer 426545 by ankor@dixie-net.com(15746)   on 2012-12-07 15:32:59 (Show Source): You can put this solution on YOUR website! Add 5 and subtract 10x from both sides Square both sides = FOIL the right side 3x^2 = 100x^2 - 50x - 50x + 25 0 = 100x^2 - 3x^2 - 100x + 25 A quadratic equation 97x^2 - 100x + 25 = 0 Use the quadratic formula to solve this a=97;b=-100;c=25 Two solutions x = x = .6047 and x = x = .4262 : but only x=.4262 checks out in the original equation: .7382 + 4.262 - 5 = 0 : so only x = .4262 is the solution

Radicals/691060: Please help me simplify 5 sqrt 27 + 7 sqrt 3 1 solutions Answer 426528 by ankor@dixie-net.com(15746)   on 2012-12-07 14:46:22 (Show Source): You can put this solution on YOUR website! simplify Factor inside the 1st radical to reveal a perfect square Extract the square root of 9 = Now we have like terms, just add them

Angles/690984: may you please help me with this problem: a photo is 12in. wide by 18 in. tall. If the width is scaled down to 9 inches, how tall should the similar photo be? i tried to find the cross products and it did not work 1 solutions Answer 426522 by ankor@dixie-net.com(15746)   on 2012-12-07 14:32:25 (Show Source): You can put this solution on YOUR website! a photo is 12in. wide by 18 in. tall. If the width is scaled down to 9 inches, how tall should the similar photo be? : The Height:Width Ratio remains the same, therefore: Let H = the scaled down height = Cross multiply 12H = 9*18 H = H = 13.5" in the scaled down height :

Quadratic_Equations/690879: please help me with finding the y intercept for this equation y=-9.8^2+100 1 solutions Answer 426518 by ankor@dixie-net.com(15746)   on 2012-12-07 14:23:11 (Show Source): You can put this solution on YOUR website! the y intercept for this equation y=-9.8^2 + 100 If you mean y = -9.8x^2 + 100 the y intercept occurs when x = 0. Therefore y = -9.8(0^2) + 100 y = 0 + 100 y = 100 is the y intercept