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Source: http://www.algebra.com/rss/solved_problems.rss

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  8. <title>Algebra.Com New solved problems</title>
  9. <link>http://www.algebra.com</link>
  10. <description>New Solutions by tutors</description>
  11. <language>en-us</language>
  12. <copyright>Copyright Algebra.Com</copyright>
  13. <pubDate>Sat,  5 Jul 2025 23:42:00 +0000</pubDate>
  14. <lastBuildDate>Sat,  5 Jul 2025 23:42:00 +0000</lastBuildDate>
  15. <managingEditor>webmaster@algebra.com</managingEditor>
  16. <webMaster>webmaster@algebra.com</webMaster>
  17.  
  18. <item>
  19. <title>Problem 1167590 solved by mccravyedwin</title>
  20. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167590</link>
  21. <description>This problem was solved by mccravyedwin:
  22. Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
  23. (a) If Stanley swam for t hours yesterday, what was his running time?
  24. (b) In terms of t, how long did Stanley bike yesterday?
  25. (c) What distance did Stanley covered while swimming?
  26. (d) What distance did Stanley covered while running?
  27. (e) What distance did Stanley covered while biking?
  28. (f) What was the total distance Stanley covered during practices in terms of t?
  29. (g) Write the equation that will allow you to find the practice time.
  30. (h) For how long did Stanley swim, run, and bike yesterday?
  31.  
  32. I know someone else asked this but the answers were wrong</description>
  33. <guid isPermaLink="false">2927741b-08f2-366d-adbc-eb9a824cd458</guid>
  34. <pubDate>Sat, 05 Jul 2025 13:25:56 -0006</pubDate>
  35. </item>
  36. <item>
  37. <title>Problem 1167590 solved by ikleyn</title>
  38. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167590</link>
  39. <description>This problem was solved by ikleyn:
  40. Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
  41. (a) If Stanley swam for t hours yesterday, what was his running time?
  42. (b) In terms of t, how long did Stanley bike yesterday?
  43. (c) What distance did Stanley covered while swimming?
  44. (d) What distance did Stanley covered while running?
  45. (e) What distance did Stanley covered while biking?
  46. (f) What was the total distance Stanley covered during practices in terms of t?
  47. (g) Write the equation that will allow you to find the practice time.
  48. (h) For how long did Stanley swim, run, and bike yesterday?
  49.  
  50. I know someone else asked this but the answers were wrong</description>
  51. <guid isPermaLink="false">650c8d9e-3699-3cec-b218-cfd54e0b122e</guid>
  52. <pubDate>Fri, 04 Jul 2025 23:55:09 -0006</pubDate>
  53. </item>
  54. <item>
  55. <title>Problem 1167289 solved by ikleyn</title>
  56. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167289</link>
  57. <description>This problem was solved by ikleyn:
  58. A club has 20 members. In how many ways could an executive committee consisting of a president, vice president, secretary, membership director, and treasurer be named? Show two methods.</description>
  59. <guid isPermaLink="false">8d57d7af-d1fc-3db5-8ee3-42d2b107e0b2</guid>
  60. <pubDate>Fri, 04 Jul 2025 23:31:31 -0006</pubDate>
  61. </item>
  62. <item>
  63. <title>Problem 1167590 solved by Edwin McCravy</title>
  64. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167590</link>
  65. <description>This problem was solved by Edwin McCravy:
  66. Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
  67. (a) If Stanley swam for t hours yesterday, what was his running time?
  68. (b) In terms of t, how long did Stanley bike yesterday?
  69. (c) What distance did Stanley covered while swimming?
  70. (d) What distance did Stanley covered while running?
  71. (e) What distance did Stanley covered while biking?
  72. (f) What was the total distance Stanley covered during practices in terms of t?
  73. (g) Write the equation that will allow you to find the practice time.
  74. (h) For how long did Stanley swim, run, and bike yesterday?
  75.  
  76. I know someone else asked this but the answers were wrong</description>
  77. <guid isPermaLink="false">60bc0e75-94cd-36cb-94b7-13faa1cb14a2</guid>
  78. <pubDate>Fri, 04 Jul 2025 11:20:31 -0006</pubDate>
  79. </item>
  80. <item>
  81. <title>Problem 1167313 solved by MathTherapy</title>
  82. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167313</link>
  83. <description>This problem was solved by MathTherapy:
  84. What would be the solution for x in the rational equation:
  85.  
  86. x^2/(x-3)= (x+2)/(2x-5)</description>
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  88. <pubDate>Thu, 03 Jul 2025 22:36:41 -0006</pubDate>
  89. </item>
  90. <item>
  91. <title>Problem 1167590 solved by MathTherapy</title>
  92. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167590</link>
  93. <description>This problem was solved by MathTherapy:
  94. Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
  95. (a) If Stanley swam for t hours yesterday, what was his running time?
  96. (b) In terms of t, how long did Stanley bike yesterday?
  97. (c) What distance did Stanley covered while swimming?
  98. (d) What distance did Stanley covered while running?
  99. (e) What distance did Stanley covered while biking?
  100. (f) What was the total distance Stanley covered during practices in terms of t?
  101. (g) Write the equation that will allow you to find the practice time.
  102. (h) For how long did Stanley swim, run, and bike yesterday?
  103.  
  104. I know someone else asked this but the answers were wrong</description>
  105. <guid isPermaLink="false">f55c2bc7-1659-3ee5-88e1-f3ad6c05b7ba</guid>
  106. <pubDate>Thu, 03 Jul 2025 20:02:51 -0006</pubDate>
  107. </item>
  108. <item>
  109. <title>Problem 1210354 solved by ikleyn</title>
  110. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210354</link>
  111. <description>This problem was solved by ikleyn:
  112. The monthly salary of Mr. Johnson was 320,000 for each of the first three years. He then got an annual increment of 40,000 per month for each of the following successive 12 years. His salary remained stationary till retirement when he found that his average monthly salary during the service period was 698,000.
  113.  
  114.  
  115. Required:
  116.  
  117. (a) Prove that there is an Arithmetic Progression (AP) in the first 3 years of service.
  118. (b) Compute the total salary in the first 3 years of service.
  119. (c) Calculate the monthly and annual salary for the fourth year of service.
  120. (d) Determine the monthly and annual salary for the ninth year of service.
  121. (e) Find the total salary up to the 12th year of service.
  122. (f) Obtain the total salary up to the 15th year of service.
  123. (g) Find the monthly salary at the end of the 15th year of service.
  124. (h) Compute the period of service.</description>
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  126. <pubDate>Thu, 03 Jul 2025 17:11:57 -0006</pubDate>
  127. </item>
  128. <item>
  129. <title>Problem 1210354 solved by Edwin McCravy</title>
  130. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210354</link>
  131. <description>This problem was solved by Edwin McCravy:
  132. The monthly salary of Mr. Johnson was 320,000 for each of the first three years. He then got an annual increment of 40,000 per month for each of the following successive 12 years. His salary remained stationary till retirement when he found that his average monthly salary during the service period was 698,000.
  133.  
  134.  
  135. Required:
  136.  
  137. (a) Prove that there is an Arithmetic Progression (AP) in the first 3 years of service.
  138. (b) Compute the total salary in the first 3 years of service.
  139. (c) Calculate the monthly and annual salary for the fourth year of service.
  140. (d) Determine the monthly and annual salary for the ninth year of service.
  141. (e) Find the total salary up to the 12th year of service.
  142. (f) Obtain the total salary up to the 15th year of service.
  143. (g) Find the monthly salary at the end of the 15th year of service.
  144. (h) Compute the period of service.</description>
  145. <guid isPermaLink="false">2ca91c55-edc4-38b2-b1c9-34d01ffcd9b1</guid>
  146. <pubDate>Thu, 03 Jul 2025 13:43:01 -0006</pubDate>
  147. </item>
  148. <item>
  149. <title>Problem 1210355 solved by math_tutor2020</title>
  150. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210355</link>
  151. <description>This problem was solved by math_tutor2020:
  152. what does the &#x27;a&#x27; in the quadratic equation y=ax^2+bx+c represent?
  153. </description>
  154. <guid isPermaLink="false">bc366a1b-ceb7-38af-ac44-6a09d6bf85ec</guid>
  155. <pubDate>Wed, 02 Jul 2025 17:04:39 -0006</pubDate>
  156. </item>
  157. <item>
  158. <title>Problem 1165804 solved by ikleyn</title>
  159. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1165804</link>
  160. <description>This problem was solved by ikleyn:
  161. A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain distances based on their different speeds. A car travels 180 miles in the same time that a truck travels 120 miles. If the cars speed is 20 miles per hour faster than the trucks, find the cars speed and the trucks speed. Make sure to show all your work.</description>
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  163. <pubDate>Mon, 30 Jun 2025 17:29:55 -0006</pubDate>
  164. </item>
  165. <item>
  166. <title>Problem 1167049 solved by ikleyn</title>
  167. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167049</link>
  168. <description>This problem was solved by ikleyn:
  169. The function f(x) is transformed to produce a function g(x) where g(x)=2f(5x)5. If (9,4) is a point on the graph of f(x), give the coordinates of the transformed point on the graph if g(x). </description>
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  171. <pubDate>Mon, 30 Jun 2025 00:21:38 -0006</pubDate>
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