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# Recent problems solved by 'stanbon'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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 Graphs/183914: In 1994, the life expectancy of males in a certain country was 73.9 years. In 2000, it was 76.4 years.Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear function E(t) that fits the data is E(t) = ____t+____. (round to the nearest thenth.) Use the function to predict the life expectancy of males in 2003. E(9) = ______ (round to the nearest tenth)1 solutions Answer 137982 by stanbon(57285)   on 2009-02-26 09:30:23 (Show Source): You can put this solution on YOUR website!In 1994, the life expectancy of males in a certain country was 73.9 years. In 2000, it was 76.4 years.Let E represent the life expectancy in year t and let t represent the number of years since 1994. ------------------------------------ You have two points: (0,73.9), which is the y-intercept, and (6,76.4). ---- Find the slope: m = (76.4-73.9)/(6-0) = 2.5/6 = 5/12 ============= Equation: E(t) = (5/12)t + 73.9 ------------------ The linear function E(t) that fits the data is E(t) = (5/12)t+ 73.9 (round to the nearest tenth.) Use the function to predict the life expectancy of males in 2003. E(9) = (5/12)*9 + 73.9 = 77.65 (round to the nearest tenth) E(9) = 77.7 years. ======================== Cheers, Stan H.
 Geometry_Word_Problems/183911: This question is from textbook sullivan An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?1 solutions Answer 137981 by stanbon(57285)   on 2009-02-26 09:21:48 (Show Source): You can put this solution on YOUR website!An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet. What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle? --------------- Draw the picture. A side of the square is sqrt(1250) -------------------------------------- The diagonal of the square is sqrt(1250 + 1250) = sqrt(2500) = 50 ------------------------------------- The shortest radius from the center of the square to the corners of the square is 50/2 = 25 ft. ============================================== cheers, Stan H.
 Polynomials-and-rational-expressions/183908: can someone please show me how to use grouping to factor a polynomial completely thank you x3+ax+3a+3x21 solutions Answer 137979 by stanbon(57285)   on 2009-02-26 09:17:57 (Show Source): You can put this solution on YOUR website!x^3+ax+3a+3x^2 --- Factor the 1st two and the last two terms separately to get: x(x^2+a) + 3(x^2+a) --- Factor out the common factor to get: (x^2+a)(x+3) ==================== Cheers, Stan H.
 Graphs/183912: (0,-7)(-4, 1) what does this look like plotted out on a graph? I've finally come up with this but do not know how to plot it. thanks for your help.1 solutions Answer 137978 by stanbon(57285)   on 2009-02-26 09:11:03 (Show Source): You can put this solution on YOUR website!(0,-7)(-4, 1) what does this look like plotted out on a graph? ---------- (0,-7) is the y-intercept, so b = -7 ---------------------- Find the slope: m = (1--7)/(-4-0) = 8/-4 = -2 --------------------- Equation: y = -2x -7 =========================================== Cheers, Stan H.
 Quadratic_Equations/183855: Method Substitution 5. Find the point of intersection of each pair of lines. b) 4x+2y=7 -x-y=6 Please, i dont know how to do it thank you very much!!!!1 solutions Answer 137950 by stanbon(57285)   on 2009-02-25 21:22:57 (Show Source): You can put this solution on YOUR website!Find the point of intersection of each pair of lines. b) 4x+2y=7 -x-y=6 ---------------- Leave the 1st equation along; Multiply the 2nd equation by 4. ---------------------------------- 4x + 2y = 7 -4x- 4y = 24 ------------------ Add the two equations to eliminate the x-terms: -2y = 31 y = -31/2 --------------- Substitute into -x-y = 6 to solve for "x": -x -(-31/2) = 6 x + 31/2 = 12/2 x = -19/2 ========================== Cheers, Stan H.
 Money_Word_Problems/183853: A coin bank contains nickels, dimes, and quarters totaling \$5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?1 solutions Answer 137949 by stanbon(57285)   on 2009-02-25 21:13:50 (Show Source): You can put this solution on YOUR website!A coin bank contains nickels, dimes, and quarters totaling \$5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank? -------------------------------------- Value Equation: 5n + 10d + 25q = 545 cents Quantity Eq...: q = 2d Quantity Eq...: n = q + 11 ------------------------------------------- Rearrange the 2nd equation: d = (1/2)q ------------------------------------------- Substitute to solve for "q": 5(q+11) + 10(1/2)q + 25q = 545 5q + 55 + 5q + 25q = 545 35q = 490 q = 14 (# of quarters) ------------- Since n = q + 11, n = 25 (# of nickels) Since d = (1/2)q, d = 7 (# of dimes) ================================== Cheers, stan H.
 Linear-equations/183846: How do you find the slope with 4 temperatures using the Arrhenius equation?1 solutions Answer 137947 by stanbon(57285)   on 2009-02-25 21:00:48 (Show Source): You can put this solution on YOUR website!May I suggest you use Google to search "Aarhenius Equation"? Cheers, Stan H.
 Polynomials-and-rational-expressions/183832: This question is from textbook Algebra and Trigonometry Structure and Method book 2 I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Writing Quadratic Equations and Functions Find a quadratic function F(x)=ax^2+bx+c for each parabola described. maximum value 6 when x=-2; one zero is 11 solutions Answer 137944 by stanbon(57285)   on 2009-02-25 20:45:42 (Show Source): You can put this solution on YOUR website!Find a quadratic function F(x)=ax^2+bx+c for each parabola described. maximum value 6 when x=-2; one zero is 1 --------------------------------------------- Maximum occurs when x = -b/2a So, you have -b/2a = -2 b = 4a ----------- Substitute and you have f(x) = ax^2 +(4a)x + c ----- Then f(-2) = 4a -8a + c = 6 c = 4a + 6 ------------------- Substitute to get: f(x) ax^2 +(4a)x + 4a + 6 ---------------------------- Then f(1) = a + 4a + 4a + 6 = 1 9a + 6 = 1 9a = -5 a = -5/9 --- b = 4a = -20/9 --- c = 4a+6 = -20/9 + 54/9 = 34/9 ----------------------------------- Equation: y = (-5/9)x^2 -(20/9)x + (34/9) ============================================ Cheers, Stan H. ========================================
 Polynomials-and-rational-expressions/183837: please help me solve this problem on factor a polynomial thank you 56x3y5-40x2y6+8x2y31 solutions Answer 137943 by stanbon(57285)   on 2009-02-25 20:33:16 (Show Source): You can put this solution on YOUR website!56x3y5-40x2y6+8x2y3 Common factor: = 8x^2y^3[7xy^2 - 5y^3 + 1] ================================ Cheers, Stan H.
 Exponents-negative-and-fractional/183838: Ok! So, in the past few days, my algebra teacher left on family matters for a few days... Before she left, she gave our class a paper that she didn't exactly have time to sit down and explain how to do. The sub we had wasn't exactly great at this stuff either, so if you could explain what I'm supposed to do in these problems, that would be excellent! (-2x^4y^2 * x^3y^-2)^4 ----------------------- xy^41 solutions Answer 137942 by stanbon(57285)   on 2009-02-25 20:29:39 (Show Source): You can put this solution on YOUR website![(-2x^4y^2 * x^3y^-2)^4] / [xy^4] = [-2x^7]^4 / [xy^4] = [16x^28] / [xy^4] = [16x^27] / [y^4] =============================== Cheers, Stan H.
 Numeric_Fractions/183843: FACTOR EXPRESSION: 3x² + 18x + 271 solutions Answer 137940 by stanbon(57285)   on 2009-02-25 20:22:31 (Show Source): You can put this solution on YOUR website!FACTOR EXPRESSION: 3x² + 18x + 27 ----------- Common Factor: = 3(x^2 + 6x + 9) = 3(x+3)^2 ================= Cheers, Stan H.
 Numbers_Word_Problems/183842: two numbers have a sum of 11. One of the numbers is q. Find the other number.1 solutions Answer 137939 by stanbon(57285)   on 2009-02-25 20:17:26 (Show Source): You can put this solution on YOUR website!two numbers have a sum of 11. One of the numbers is q. Find the other number. ---------------------------------------- Let the number be "x". ------------------------- Equation: x + q = 11 x = 11-q =============== Stan H.
 Probability-and-statistics/183819: I hopr some one can help me, I am having some troulbe with my statistics homework.I have two questions. Find the indicated binomial probabilities. Round to the nearest 3 decimal places. Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10% (1 points each) a.What is the probability that exactly 2 will be defective? b.What is the probability that between 2 and 4 inclusive will be defective? c. What is the probability that no batteries will be defective? d. Find the mean  e. Find the variance 2 A Multiple-choice test has 15 questions with each having 4 possible answers with one correct. Assume a student answers every question. (2.5 points each) a. What is the probability of getting exactly 5 correct answers? b. What is the probability of getting less than 6 correct answers? I would like to thank you in advance for your help, and using your own to help me out. 1 solutions Answer 137937 by stanbon(57285)   on 2009-02-25 20:07:55 (Show Source): You can put this solution on YOUR website!Answered on email. Cheers, Stan H.
 Linear-equations/183822: Thanks for your help by seeing your answer worked out I'm learning by solving linear equations. A hunting club bought 100 acres of wooded and marsh land. They paid an average of 4000.00 for each wooded acre and 3000.00 for each marsh acre. There were over 2000 deer and 500 ducks using it. If the club paid \$380,000.00 for the land, how many acres of marsh did it buy. Please solve for me thanks. 1 solutions Answer 137928 by stanbon(57285)   on 2009-02-25 19:00:14 (Show Source): You can put this solution on YOUR website!A hunting club bought 100 acres of wooded and marsh land. They paid an average of 4000.00 for each wooded acre and 3000.00 for each marsh acre. There were over 2000 deer and 500 ducks using it. If the club paid \$380,000.00 for the land, how many acres of marsh did it buy. ----------------------------------------- Equations: Area Equation: w + m = 100 acres Value Equation: 4000w + 3000m = 380,000 ------------------------------------------ Prepare for solution by elimination: 3000w + 3000m = 3000*100 4000w + 3000m = 380,000 -------------------------- Subtract the 1stequation from the 2nd to get: 1000w = 380,000 - 300,000 w = 80 (# of acres of wooded land purchased) 100-w = 20 (# ofacres of marsh land purchased) ================================================= Cheers, Stan H.
 Linear-equations/183818: A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip? Thanks for your help by seeing your answer worked out I'm learning by solving linear equations1 solutions Answer 137925 by stanbon(57285)   on 2009-02-25 18:47:47 (Show Source): You can put this solution on YOUR website!A bicyclist rode into the country for 5 hours. In returning by the same route, her speed was 4 mph slower and the trip took 6 hours. How far did she go during the entire trip? ----------------- Into the country DATA: time = 5 hrs ; rate = x mph ; distance = rt = 5x miles ------------------------- Return-trip DATA: time = 6 hrs : rate = x-4 mph ; distance = rt = 6(x-4) miles ------------------------- Equation: distance = distance 5x = 6(x-4) 5x = 6x - 24 x = 24 mph (rate into thecountry) ----------------------------- total distance = 5x+ 6(x-4) with x = 24 =5*24 + 6(24-4) = 120 + 120 = 240 miles ======================== Cheers, Stan H.
 Equations/183813: a+b/10 for a = 95 and b = 5 a+b/10 = ______1 solutions Answer 137923 by stanbon(57285)   on 2009-02-25 18:26:54 (Show Source): You can put this solution on YOUR website!a+b/10 for a = 95 and b = 5 ---------------------------------------- Substitute: 95 + 5/10 = 95 + 1/2 = 95.5 --------------- If you meant (a+b)/10 you get (95+5)/10 = 100/10= 10 ======================== Cheers, Stan H.
 decimal-numbers/183811: Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.1 solutions Answer 137922 by stanbon(57285)   on 2009-02-25 18:23:07 (Show Source): You can put this solution on YOUR website!Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten. -------------- Numbers in the decimal system are a sum of multiples of powers of ten. The digit to the left of a numerical digit is a multiple of the next higher power of ten. So multiplying a number by 10 moves each digit one position to the left. In effect that means the decimal point moves one position to the right. ======================================================================= Cheers, Stan H.
 Human-and-algebraic-language/183801: The length of a picture is 1 inch less than twice its width. The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture? Here's what I tried. L = 2w-1 W = 2 A = LXW = 96 L = 2(2) -1 L = 4-1 L = 3 doesn't make sense though Thanks for the help! 1 solutions Answer 137921 by stanbon(57285)   on 2009-02-25 18:13:05 (Show Source): You can put this solution on YOUR website!The length of a picture is 1 inch less than twice its width. The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture? ------------------------ Draw the picture of a rectangle inside a rectangle. ------------------------- Label the length and the width of the inner rectangle. Let width = w Then length= 2w - 1 Area of the inner rectangle = w(2w-1) = 2w^2-w sq. in. --- Label the length and width of the outer rectangle. Width is w + 4 inches Length is 2w-1+4 = 2w +3 inches Area of the outer rectangle = (w+4)(2w+3) = 2w^2+7w+12 sq. in. --------------------------------------------- Area of the picture = outer rectangle area - inner rectangle area 96 = 2w^2+7w+12 -(2w^2-w) 8w + 12 = 96 2w + 3 = 24 2w = 21 w = 21/2 inches (width of the picture) L = 2w-1 = 21-1 = 20 (length of picture) ===================================== Cheers, Stan H. ---
 Equations/183802: 1) 4(a-3)=3-(a+5) 2) 3z=2(z-3)+9 3) 8a-(a-7)=21 I am in an adult ed program getting my high school diploma. These three problems are the only ones that I am struggling real hard with. We are given packets to work--and I have grasped most of the problems. These three are the ones that are not computing for me. HELP!!1 solutions Answer 137918 by stanbon(57285)   on 2009-02-25 17:52:38 (Show Source): You can put this solution on YOUR website!1) 4(a-3)=3-(a+5) 4a - 12 = 3 - a - 5 5a -12 = -2 5a = 10 a = 2 ======================== 2) 3z=2(z-3)+9 3z = 2z - 6 + 9 z = 3 ======================= 3) 8a-(a-7)=21 8a - a + 7 = 21 7a = 14 a = 2 =========================== Cheers, Stan H.
 Exponential-and-logarithmic-functions/183798: Differentiate each function. Express your answer in a simplified factored form a) b) h) 1 solutions Answer 137917 by stanbon(57285)   on 2009-02-25 17:47:26 (Show Source): You can put this solution on YOUR website!Differentiate each function. Express your answer in a simplified factored form a) f(x)=(x+4)^3(x-3)^6 Use the product rule: f'(x) = (x+4)^3
 Inequalities/183786: 5(x+3)+9<=3(X-2)+6 Please help me to solve, I do not understand the procedure. the sign after the number 9 should have a line under it such as less than or equal to.1 solutions Answer 137916 by stanbon(57285)   on 2009-02-25 17:31:59 (Show Source): You can put this solution on YOUR website!5(x+3)+9 <= 3(X-2)+6 ------------------------------ 5x + 15 + 9 <= 3x - 6 + 6 2x + 24 <= 0 2x <= -24 x <= -12 ============ Cheers, Stan H.
 Linear_Algebra/183783: I am absolutely baffled by this one. I am terrible at fractions anyway, but that to a word problem and I am lost. A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to otain a 6 ounce mixture that is two-thirds pure gold?1 solutions Answer 137911 by stanbon(57285)   on 2009-02-25 16:55:57 (Show Source): You can put this solution on YOUR website!A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to otain a 6 ounce mixture that is two-thirds pure gold? ------------------------------------------------------- Equation: gold + gold = gold (3/4)x + (5/12)(6-x) = (2/3)*6 Multiply thru by 12 to get: 9x + 5(6-x) = 8*6 9x + 5*6 - 5x = 8*6 4x = 3*6 x = 9/2 = 4 1/2 oz (amt. of (3/4) pure gold in the mixture) 6-x = 6 - 4 1/2 = 1 1/2 oz (amt of (5/12) pure gold in the mixture) ======================================================== Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/183781: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2-hour head start. How far from the starting point are the planes?1 solutions Answer 137910 by stanbon(57285)   on 2009-02-25 16:46:32 (Show Source): You can put this solution on YOUR website!A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2-hour head start. How far from the starting point are the planes? --------------------- Jet DATA: rate = 500 mph ; time = x-2 hrs. ; distance = rt = 500(x-2) miles ----------------------- Propeller DATA: rate = 200 mph ; time = x hrs. ; distance = rt = 200x miles --------------------- Equation: distance = distance 500(x-2) = 200x 500x - 1000 = 200x 300x = 1000 x = 3 1/3 hrs (time the propeller plane flew before being overtaken) Propeller distance = 200x = 200*(10/3) = 666.67 miles ========================================================== Cheers, Stan H.
 Complex_Numbers/183778: This question is from textbook Algebra and Trigonometry Structure and Method (sqrt 18)/(2isqrt 6)1 solutions Answer 137908 by stanbon(57285)   on 2009-02-25 16:35:00 (Show Source): You can put this solution on YOUR website!(sqrt 18)/(2isqrt 6) = 3sqrt(2)/2isqrt(6) What you do now depends on the statement of the problem. You could multiply numerator and denominator by -2isqrt(6) --- If you want to do that you would get: = [(3sqrt(2)(-2isqrt(6)] / (-4i^2*6) = [-6isqrt(12)] / (24) = [-6*2isqrt(3)]/24 = [-isqrt(3)/2] =========================== Cheers, Stan H.
 Systems-of-equations/183776: x/(x-1) + 3/ (x+1) = 7 1 solutions Answer 137906 by stanbon(57285)   on 2009-02-25 16:23:45 (Show Source): You can put this solution on YOUR website!x/(x-1) + 3/ (x+1) = 7 Multiply thru by (x-1)(x+1) to get: x(x+1) + 3(x-1) = 7(x^2-1) x^2 + x + 3x - 3 = 7x^2 - 7 6x^2 - 4x - 4 = 0 3x^2 - 2x -2 = 0 x = [2 +- sqrt(4 - 4*3*-2)]/6 x = [2 +- sqrt(28)]/6 x = [2 +- 2sqrt(7)]/6 x = (1/3) + (1/3)sqrt(7) or x = (1/3) - (1/3)sqrt(7) ============================================ Cheers, Stan H.
 Polynomials-and-rational-expressions/183719: If a fourth-degree polynomial is multiplied by a third-degree polynomial, what is the degree of the product?1 solutions Answer 137889 by stanbon(57285)   on 2009-02-25 10:25:20 (Show Source): You can put this solution on YOUR website!seven --------- Cheers, Stan H.
 Vectors/183715: Differentiate the function. Do not expand any expression before differentiating: a) f(x)=[(2-x)^4+16]^3 b) f(x)=1/((x^2)-16)^5 1 solutions Answer 137888 by stanbon(57285)   on 2009-02-25 10:23:53 (Show Source): You can put this solution on YOUR website!Differentiate the function. Do not expand any expression before differentiating: Use the chain rule as follows: a) f(x)=[(2-x)^4+16]^3 f'(x) = 3[(2-x)^4+16]^2 * 4(2-x)^3 * (-1) --------------------- b) f(x)=1/((x^2)-16)^5 f(x) = ((x^2)-16)^-5 f'(x) = -5[((x^2)-16)^-4] =================================== Cheers, Stan H.
 Finance/183712: Toni can be paid in one of two ways: a) a salary of \$400 per month, plus a commission of 8% of gross sales b) a salary of \$610 per month, plus a commission of 5% of gross sales For what amount of gross sales should Toni select plan A?1 solutions Answer 137887 by stanbon(57285)   on 2009-02-25 10:10:49 (Show Source): You can put this solution on YOUR website!Toni can be paid in one of two ways: a) a salary of \$400 per month, plus a commission of 8% of gross sales A(x) = 400 + 0.08x where x is Toni's sales for a month. ------------------------------------------------------------------- b) a salary of \$610 per month, plus a commission of 5% of gross sales B(x) = 610 + 0.05x --------------------------- For what amount of gross sales should Toni select plan A? A(x) > B(x) 400 + 0.08x > 610 + 0.05x 0.03x > 210 x > \$7000.00 A will be a better salary if Toni's monthly salary is greater than \$7000. ===================== Cheers, Stan H. ==================
 Travel_Word_Problems/183713: How many pounds of hamburger that costs \$1.60 per pound must be mixed with 70 pounds of hamburger that costs \$2.10 per pound to make a mixture that costs \$1.70 per pound. 1 solutions Answer 137886 by stanbon(57285)   on 2009-02-25 10:00:05 (Show Source): You can put this solution on YOUR website!How many pounds of hamburger that costs \$1.60 per pound must be mixed with 70 pounds of hamburger that costs \$2.10 per pound to make a mixture that costs \$1.70 per pound. ------------------------------ Equation: value + value = value 1.6x + 2.1*70 = 1.7(x+70) Multiply thru by 10 to get: 16x + 21*70 = 17x + 17*70 x = 4*70 x = 280 lbs. (amt. of \$1.60 hamburger in needed in the mixture) -------- Cheers, Stan H.