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# Recent problems solved by 'lenny460'

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, >>Next

 Inequalities/751819: -2(4z+5)>-6-4z1 solutions Answer 457413 by lenny460(770)   on 2013-05-23 01:43:58 (Show Source): You can put this solution on YOUR website!-2(4z+5) > -6-4z -2 * 4z = -8z -2 * 5 = -10 Therefore: -8z - 10 > -6 - 4z Add 10 to each side of the inequality. -8z - 10 + 10 > -6 - 4z + 10 Combine like terms: -10 + 10 = 0 -6 + 10 = 4 We now have: -8z > 4 - 4z Add 4z to each side of the inequality. -8z + 4z > 4 - 4z + 4z Combine like terms: -8z + 4z = -4z -4z + 4z = 0 Therefore: -4z > 4 Divide each side by -4 z < -1 Please note: When you divide an inequality by a negative number you flip (change) the inequality sign. Answer: z < -1 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Quadratic_Equations/751822: how many solutions does the following system of equation have 1 solutions Answer 457411 by lenny460(770)   on 2013-05-23 00:53:40 (Show Source): You can put this solution on YOUR website!how many solutions does the following system of equation have Your question is incomplete. Please repost.
 Trigonometry-basics/751806: Tyler gets a starting salary of 22,600, with annual raises of 800. what will his salary be during his fourth year on the job?1 solutions Answer 457409 by lenny460(770)   on 2013-05-23 00:47:00 (Show Source): You can put this solution on YOUR website!Tyler gets a starting salary of 22,600, with annual raises of 800. what will his salary be during his fourth year on the job ? Starting salary = 22,600 Second year = 22,600 + 800 = 23,400 Third year = 23,400 + 800 = 24,200 Fourth year = 24,200 + 800 = 25,000 Answer: 25,000 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Functions/751794: 4+5(s-4t)=1 solutions Answer 457408 by lenny460(770)   on 2013-05-23 00:39:30 (Show Source): You can put this solution on YOUR website!4 + 5(s-4t) = 5 * s = 5s 5 * -4t = -20t 4 + 5s - 20t Answer: 5s + 4 - 20t Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/751338: 1 solutions Answer 457190 by lenny460(770)   on 2013-05-22 00:23:06 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/751336: 1 solutions Answer 457188 by lenny460(770)   on 2013-05-22 00:20:55 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 Graphs/751110: 3y+8=7-4y1 solutions Answer 456990 by lenny460(770)   on 2013-05-21 09:30:22 (Show Source): You can put this solution on YOUR website!3y + 8 = 7 - 4y Add 4y to each side of the equation. 3y + 8 + 4y = 7 - 4y + 4y Combine like terms: 3y + 4y = 7y -4y + 4y = 0 Therefore: 7y + 8 = 7 Subtract 8 from each side of the equation. 7y + 8 - 8 = 7 - 8 8 - 8 = 0 7 - 8 = -1 7y = -1 Divide each side by 7 y = -1/7 Answer: y = -1/7 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/751085: 1 solutions Answer 456989 by lenny460(770)   on 2013-05-21 09:22:00 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/751084: 1 solutions Answer 456988 by lenny460(770)   on 2013-05-21 09:19:24 (Show Source): You can put this solution on YOUR website!Where is your question. Please repost.
 Finance/751105: Simplify the following expression. 2x - 2y + 5z - 2x - y + 3z1 solutions Answer 456985 by lenny460(770)   on 2013-05-21 08:58:51 (Show Source): You can put this solution on YOUR website!Simplify the following expression. 2x - 2y + 5z - 2x - y + 3z Combine like terms: 2x - 2x = 0 -2y - y = -3y 5z + 3z = 8z Now we have: -3y + 8z Answer: 8z - 3y Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/751083: 1 solutions Answer 456984 by lenny460(770)   on 2013-05-21 08:54:07 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/750979: 8x+2x-11=591 solutions Answer 456982 by lenny460(770)   on 2013-05-21 08:51:03 (Show Source): You can put this solution on YOUR website!8x + 2x - 11 = 59 Combine like terms: 8x + 2x = 10x 10x - 11 = 59 Add 11 to each side of the equation. 10x - 11 + 11 = 59 + 11 Combine like terms: -11 + 11 = 0 59 + 11 = 70 Therefore: 10x = 70 x = 7 Answer: x = 7 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Polynomials-and-rational-expressions/750625: add the polynomials (ab^2+a^3b)+(6a^3b-ab^2)1 solutions Answer 456743 by lenny460(770)   on 2013-05-20 04:48:48 (Show Source): You can put this solution on YOUR website!Add the polynomials (ab^2 + a^3b)+(6a^3b - ab^2) Remove the parentheses: ab^2 - ab^2 = 0 a^3b + 6a^3b = 7a^3b Answer: 7a^3b Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/750595: 1 solutions Answer 456742 by lenny460(770)   on 2013-05-20 04:37:54 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/750608: Is 4x^2+4x-16 factorable?1 solutions Answer 456725 by lenny460(770)   on 2013-05-20 00:30:20 (Show Source): You can put this solution on YOUR website!Is 4x^2 + 4x - 16 factorable ? Divide each item by 4 4(x^2 + x - 4) Answer: 4(x^2 + x - 4) Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/750320: 1 solutions Answer 456534 by lenny460(770)   on 2013-05-19 10:20:56 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/750245: -2 (-5 w - x) + (2 x + 2 w)1 solutions Answer 456521 by lenny460(770)   on 2013-05-19 06:00:29 (Show Source): You can put this solution on YOUR website!-2(-5w - x) + (2x + 2w) -2 * -5w = 10w -2 * -x = 2x (10w + 2x) + (2x + 2w) Remove the parentheses: 10w + 2x + 2x + 2w Combine like terms: 10w + 2w = 12w 2x + 2x = 4x Answer: 12w + 4x Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Money_Word_Problems/250846: 6 is what percent of 18. please explain in steps if you can.1 solutions Answer 456361 by lenny460(770)   on 2013-05-18 10:51:15 (Show Source): You can put this solution on YOUR website!6 is what percent of 18. Please explain in steps if you can ? 6/18 = 0.3333 To change 0.3333 to percentage: Move the decimal point two points to the right. Then we now have 33.33 which is equivalent to: 33 1/3 % Answer: 33 1/3 % Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Percentage-and-ratio-word-problems/750038: one-fourth percent of 18 is 1 solutions Answer 456359 by lenny460(770)   on 2013-05-18 10:43:14 (Show Source): You can put this solution on YOUR website!one-fourth percent of 18 is: One-fourth is 25% Therefore: 25/100 * 18 = 9/2 = 4.5 Answer: 4.5 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Equations/749916: p-4=28p=32 1 solutions Answer 456231 by lenny460(770)   on 2013-05-17 16:54:03 (Show Source): You can put this solution on YOUR website!p-4 = 28p = 32 The above expression has too many equals signs. Please check and repost.
 Travel_Word_Problems/749736: cindy is driving to her grandma's house a distance of 420 miles. She left at 8am driving 65 mph. At noon, she stopped an hour for lunch. What speed should she drive to get to her grandmas by 5pm?1 solutions Answer 456230 by lenny460(770)   on 2013-05-17 16:49:34 (Show Source): You can put this solution on YOUR website!Cindy is driving to her grandma's house a distance of 420 miles. She left at 8 am driving 65 mph. At noon, she stopped an hour for lunch. What speed should she drive to get to her grandmas by 5pm ? Distance to grandma's house is 420 miles. 8 am to noon = 4 hours 65 * 4 = 260 miles 420 - 260 = 160 Cindy stopped for an hour for lunch between noon and 1.00 pm. 5 pm - 1 pm = 4 hours Therefore: 160 / 4 = 40 miles per hour. Answer: 40 miles per hour. Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 �t�e�s�t/749711: Solve By Substitution: -3x+4y=-18 x=-2y-41 solutions Answer 456217 by lenny460(770)   on 2013-05-17 15:55:13 (Show Source): You can put this solution on YOUR website!Solve By Substitution: -3x + 4y = -18 x = -2y - 4 Substitute x = -2y - 4 into the first equation. -3x + 4y = -18 -3(-2y - 4) + 4y = -18 -3 * -2y = 6y -3 * -4 = 12 We now have: 6y + 12 + 4y = -18 Combine like terms: 6y + 4y = 10y 10y + 12 = -18 Subtract 12 from each side of the equation. 10y + 12 - 12 = -18 - 12 Combine like terms: 12 - 12 = 0 -18 - 12 = -30 Therefore: 10y = -30 Divide each side by 10 10y/10 = -30/10 y = -3 Now substitute y = -3 into the second equation. x = -2y - 4 x = -2(-3) - 4 -2(-3) = 6 x = 6 - 4 6 - 4 = 2 x = 2 Answer: x = 2 and y = -3 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/749854: Write y-4x=7 in standard form 1 solutions Answer 456206 by lenny460(770)   on 2013-05-17 15:02:29 (Show Source): You can put this solution on YOUR website!Write y - 4x = 7 in standard form Add 4x to each side of the equation y - 4x + 4x = 7 + 4x Combine like terms: -4x + 4x = 0 Therefore: y = 7 + 4x or In the standard form: y = 4x + 7 Answer: y = 4x + 7 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 Polynomials-and-rational-expressions/749833: (5m+5n)(6m-7n)1 solutions Answer 456198 by lenny460(770)   on 2013-05-17 13:54:43 (Show Source): You can put this solution on YOUR website!(5m + 5n)(6m - 7n) 5m * 6m = 30m^2 5m * -7n = -35mn 5n * 6m = 30mn 5n * -7n = -35n^2 30m^2 - 35mn + 30mn - 35n^2 Combine like terms: -35mn + 30mn = -5mn 30m^2 - 5mn - 35n^2 Answer: 30m^2 - 5mn - 35n^2 Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/749718: What is the area of a circle with a diameter of 20 yards ?1 solutions Answer 456130 by lenny460(770)   on 2013-05-17 02:34:59 (Show Source): You can put this solution on YOUR website!What is the area of a circle with a diameter of 20 yards ? Area of a circle = Pi(r^2) Pi = 3.14 Diameter = 20 yards. Therefore: Radius = 10 yards. 3.14 * 10^2 = 3.14 * 100 = 314 Answer: 314 yards squared Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/749701: 1 solutions Answer 456128 by lenny460(770)   on 2013-05-17 02:10:43 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 Exponents/749708: x to the 4th divided by x to the 5th power1 solutions Answer 456127 by lenny460(770)   on 2013-05-17 02:07:03 (Show Source): You can put this solution on YOUR website!x to the 4th divided by x to the 5th power. x^4 / x^5 = 1/x Answer: 1/x Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/749465: 1 solutions Answer 456000 by lenny460(770)   on 2013-05-16 12:33:36 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 test/749423: 1 solutions Answer 455999 by lenny460(770)   on 2013-05-16 12:30:41 (Show Source): You can put this solution on YOUR website!Where is your question ? Please repost.
 Travel_Word_Problems/749412: If I am traveling in a car at a speed of 95 feet per second, what is the approximate speed in miles per hour1 solutions Answer 455943 by lenny460(770)   on 2013-05-16 10:02:41 (Show Source): You can put this solution on YOUR website!If I am traveling in a car at a speed of 95 feet per second, what is the approximate speed in miles per hour ? 1 mile = 5280 feet. 1 hour = 60 * 60 = 3600 seconds. Therefore: 1 mile/hour = 5280 feet/3600 seconds = 1.47 feet/second. To convert feet per second to miles per hour - divide by 1.47 Therefore: 95 / 1.47 = 64.62 mph Answer: 64.62 miles per hour Lennox Obuong Algebra Tutor Nairobi, Kenya Email: obuong3@aol.com
 test/748955: 1 solutions Answer 455735 by lenny460(770)   on 2013-05-15 10:54:26 (Show Source): You can put this solution on YOUR website!Where is your question ?