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 Question 604140: A candy store owner has two types of candy. Gummy bears are 89 cents per kilogram, and chocolate is \$1.10 per kilogram. How many kilograms of each are needed to make a mix of 30 kilograms that is \$.96 per kilogram? Click here to see answer by alicealc(281)

 Question 604222: 5^n-3+5^n=(2)(7)(9)(5^11) Solve for 2n. I know I need to factor out 5^n-3 but I don't know how. Please help! I am studying for the GMAT. thanks! Click here to see answer by flame8855(424)

 Question 604386: Identify the type of equation 0 = 3x2 + y2  12x  30y + 181. parabola circle ellipse hyperbola Solve the following system of equations. x2 + y2 = 9 x2  3y = 9 (3, 9) (3, 9), (3, 0) (3, 0), (0, 3), (3, 0) (3, 0), (3, 0), (3, 9), (3, 9) Identify the number of possible real zeros of the function f(x) = x4  6x2 + 6. 1 2 3 4 Given the function f(x) = x3  7x + 6 and one of its factors (x  1), find all remaining factors. (x  1)(x  2)(x + 3) (x  1)(x  7)(x + 6) (x  1)(x + 1)(x  6) (x  1)(x  7)(x + 2) Identify all rational zeros of the polynomial function f(x) = 3x4  5x3  29x2 + 45x + 18. 6, 2/3, 6, 18 3, 1/3, 2, 3 2, 6 1/3, 2/3 Find f(g(2)) if f(x) = x2 + 3x and g(x) = 3  x2. 2 7 97 103 If f(x) = x2 + 2, find f 1(3). 11 3 Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation. y = 0, x = 3, x = 2 x = 2, y = 6 x = 3, y = 0, x = 2 y = 0, x = 6, x = 2 If y varies jointly as x and z, and y = 28 when x = 14 and z = 1, find the value of y when x = 7 and z = 4. 7/4 8 14 56 Simplify the following expression. 1 Solve the following equation. 2, 5 5, 3 3, 2 Ψ, no solution Two pickup trucks have towing capacities in a ratio 5 to 4. The larger pickup truck can tow 800 lbs more than the smaller truck. What is the towing capacity of the larger truck? 1,000 lbs 2,400 lbs 3,200 lbs 4,000 lbs Solve the equation 92x + 1 = 3x  3. 4 5/3 2/3 3 Solve the equation log3 (3x + 4) = 1/3 log3 8. 2/3 4/9 4/3 2/3 Find antilog 1.2, round your answer to the nearest hundredth. 0.08 0.18 3.32 15.85 Solve the equation ln (x + 2) = 3. Round your answer to the nearest hundredth. 1.00 18.09 22.09 998.00 Solve the equation 47x  2 = 17x + 1. Round your answer to the nearest thousandth. 0.489 0.816 1.386 2.833 Find the 4 arithmetic means between the numbers 45 and 80. 50, 55, 60, 65 52, 57, 62, 67 50, 57, 64, 71 52, 59, 66, 73 Find the sum of the following arithmetic series. 120 120 ½ 124 124 ½ Identify the twelfth term in the geometric sequence in which a1 = 10, r = 2. 110 1,280 20,480 5,242,940 Find the sum of the following geometric series. 55,986 19,530 9,330 3,905 Find the sum of the infinite geometric series 100 + 90 + 81 + 72.9 + 65.61 . . . 750 12.456 1000 1245.0435 Identify the binomial expansion of (x + 4y)4. x4 + 256y4 x4 + 8x2y2 + 16y4 x4 + 12x3y + 96xy3 + 256y4 x4 + 16x3y + 96x2y2 + 256xy3 + 256y4 Find the number of 7-digit phone numbers that can be formed if the first three digits come from the numbers 1 to 3 and the last four digits come from the numbers 1 to 9. 5,040 177,147 362,886 823,543 Find the number of ways eight people can be seated in an eight-passenger van. 8 216 40,320 16,777,216 Find the number of ways 4 bikes can be placed on a bike rack with 12 spots. 24 495 11,880 479,001,600 A meal at a certain restaurant consists of 3 entrιes chosen from group of 15 possible entrιes. Find the number of possible meal combinations. 6 455 2,730 217,945,728,000 Find the probability of rolling a die three times and rolling a 2 each time. 34/100 139/2500 1/216 1667/1000 If the Independent Party has lost 10 of the last 15 elections, find the odds against an Independent victory in the next election. 1 to 2 2 to 1 1 to 3 3 to 1 Suppose that you are drawing cards from a set of 6 cards, the colors of which are red, blue, orange, yellow, pink, and green. What is the probability of drawing a red card followed by a blue card without replacement? 1/3 1/15 1/30 1/36 Find the probability of drawing a spade or a face card from a standard deck of cards. 11/26 25/56 22/56 15/56 For questions 3739, use the data in the stem-and-leaf plot. Determine which of following best describes 64. 64 is the range of the data 64 is the mode of the data 64 is the mean of the data 64 is the median of the data Find the quartiles of the data. 61, 67, 78 39, 64, 74.71 12, 67, 93 28, 65.45 How many outliers do the data have? 1 2 3 none Find cot A, sec A, and csc A. cot A = 4/3, sec A = 3/5, csc A = 4/5 cot A = 3/4, sec A = 5/4, csc A = 5/3 cot A = 3/4, sec A = 5/3, csc A = 5/4 cot A = 4/3, sec A = 4/5, csc A = 3/5 Which trigonometric function should be used to solve for x? sine cosine tangent cosecant Find the values of side c and angle B. Round to the nearest hundredth. c = 5.60, B = 45° c = 11.95, B = 49° c = 10.87, B = 195° c = 13.24, B = 65° The pilot of a hot air balloon approaching a mountain peak measures that its altitude above sea level is 10,000 ft. If the mountain peak is 5 mi (26,400 ft) away and is 5,000 ft above sea level, what is the angle of depression from the balloon to the mountain peak? Round to the nearest hundredth degree. 8.34° 10.72° 11.31° 79.08° Find the measure of angles B and C using the law of sines. Round to the nearest hundredth. B = 100.27°, C = 42.73° B = 27.89°, C = 115.11° B = 84.88°, C = 58.12° B = 45.76°, C = 97.24° Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree. 74°, 64°, 41° 59°, 95°, 25° 70°, 74°, 35° 24°, 65°, 91° Click here to see answer by richard1234(5390)

 Question 604587: 1 a b/ 1 2b 2a 5/ 13 2a 7 3b/ -8 Click here to see answer by Alan3354(30993)

 Question 604724: I need help solving this math problem : Find two integers whose product is 77 such that one of the integers is three less than twice the other integer. Click here to see answer by stanbon(57347)

 Question 604681: Hi, I would like some help evaluating the following expressions: a) 6+8/2+3 I tried and I got 2.8 b) [17-(-4)]/7-3 c) ((-4)^3-1)/5+4+3*3 Thank you. I appreciate your help. Click here to see answer by bucky(2189)

 Question 604675: Hi, I would like some help solving this equations: a) x/6-3=-1 I tried x/6-3=-1 +3=+3 x/6/2 = 2/2 x=12 b) 8x-5>13+2x +5 +5 8x/8 18+2x/8x x= 2.5 However don't think they are right.I appreciate your help. Click here to see answer by bucky(2189)

 Question 604881: Write the equation 2x^2-4x+6=1 in general form and then write down the value of "c" solution: The standard form is ax^2 +bx +c =0 So the given equation become 2x^2-4x+6-1=0 2x^2-4x+5=0 compearing with the general form C=5 ANS Click here to see answer by atique.ah(26)

 Question 604999: Adam takes 4 hours to do a job and Sloan takes 5 hours to do the same job. If they work together, how many hours will it take them to complete the job ? Click here to see answer by lynnlo(4164)

 Question 605073: Suppose that a chemistry student can obtain two acid solutions from the stock room. The first solution is 20% acid and the second solution is 45% acid. (The percentages are by volume.) How many milliliters of each solution should the student mix together to obtain 100 milliliters of 30% acid solution? Click here to see answer by mananth(12270)

 Question 605087: Use the logarithmic properties to expand the logarithm expression as much as possible. Ln (x to the 5th z to the 2nd over y to the 7th) Click here to see answer by stanbon(57347)

 Question 605098: Use the log properties to condense the logarithm expression as much as possible. 4log (base b) x-2log(base b)+5log(base b)z Click here to see answer by stanbon(57347)

 Question 605115: Log base 4 (sq root x over 16) it states to expand the logarithm as much as possible and simplify Click here to see answer by stanbon(57347)

 Question 605325: Suppose a chemistry student can obtain two acid solutions from the stock room. The first solution is 20% acid and second solution is 45% acid. How many millimeters of each solution should the student mix together to obtain 100 millimeters of 30% acid solution? Click here to see answer by stanbon(57347)

 Question 605329: Hoe much soil containing 45% sand do you need to add to 1ft(cubed) of soil containing 15% sand in order to make a soil containing 35% sand? Click here to see answer by stanbon(57347)

 Question 605580: Tell how to find the value of the variable 5x=25 Click here to see answer by solver91311(16885)

 Question 605591: What is an example of something that is 1.75 diameter? Click here to see answer by solver91311(16885)

 Question 605745: What is the length of QR to the nearest hundredth of a centimeter? _____cm Click here to see answer by mathie123(224)

 Question 605888: Write the equation of the a is of symmetry, find the coordinates of the vertex of the graph of each function. y= -(x-2)^2+1 Click here to see answer by lwsshak3(6505)

 Question 606271: if y is any real number, the y exponent 1= Click here to see answer by solver91311(16885)

 Question 606291: It rained 1/5 of the days during the month of April. How many days in April did it not rain? Click here to see answer by vleith(2825)