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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>Wed, 24 Apr 2024 03:11:00 +0000</pubDate>
  14. <lastBuildDate>Wed, 24 Apr 2024 03:11:00 +0000</lastBuildDate>
  15. <managingEditor>webmaster@algebra.com</managingEditor>
  16. <webMaster>webmaster@algebra.com</webMaster>
  17.  
  18. <item>
  19. <title>Problem 1207016 solved by math_tutor2020</title>
  20. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207016</link>
  21. <description>This problem was solved by math_tutor2020:
  22. one leg of a right triangle is 2 cm longer than the other leg, hypotenuse is 7 cm longer than the shorter leg. find the lengths of three sides of the right triangle</description>
  23. <guid isPermaLink="false">785d95db-63f6-3e2c-a441-108cfb407df8</guid>
  24. <pubDate>Tue, 23 Apr 2024 20:20:01 -0006</pubDate>
  25. </item>
  26. <item>
  27. <title>Problem 1207018 solved by math_tutor2020</title>
  28. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207018</link>
  29. <description>This problem was solved by math_tutor2020:
  30. If x is equal to 2km what would 4x^2-1 equal
  31. </description>
  32. <guid isPermaLink="false">0a2f3389-6413-336d-80fe-fb32165727b5</guid>
  33. <pubDate>Tue, 23 Apr 2024 19:57:55 -0006</pubDate>
  34. </item>
  35. <item>
  36. <title>Problem 1207019 solved by math_tutor2020</title>
  37. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207019</link>
  38. <description>This problem was solved by math_tutor2020:
  39. If (a/b)=(c/d)= k , b,d  0 , prove that (a+c)/(b+d) = k </description>
  40. <guid isPermaLink="false">f06e73be-e09b-3ee2-a8e3-c46b367db48f</guid>
  41. <pubDate>Tue, 23 Apr 2024 19:52:32 -0006</pubDate>
  42. </item>
  43. <item>
  44. <title>Problem 1207017 solved by math_tutor2020</title>
  45. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207017</link>
  46. <description>This problem was solved by math_tutor2020:
  47. PLease use all 18 rules of natural deduction to derive the conclusion (/), thanks.
  48.  
  49. 1. S  (L  M)          
  50. 2. M  (L  R)          / S  R        </description>
  51. <guid isPermaLink="false">ee56aca4-755e-35e6-b46f-875917428887</guid>
  52. <pubDate>Tue, 23 Apr 2024 19:41:00 -0006</pubDate>
  53. </item>
  54. <item>
  55. <title>Problem 1207017 solved by mccravyedwin</title>
  56. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207017</link>
  57. <description>This problem was solved by mccravyedwin:
  58. PLease use all 18 rules of natural deduction to derive the conclusion (/), thanks.
  59.  
  60. 1. S  (L  M)          
  61. 2. M  (L  R)          / S  R        </description>
  62. <guid isPermaLink="false">74a686d1-16d8-3879-af57-f541eeb56070</guid>
  63. <pubDate>Tue, 23 Apr 2024 17:13:31 -0006</pubDate>
  64. </item>
  65. <item>
  66. <title>Problem 1207019 solved by mccravyedwin</title>
  67. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207019</link>
  68. <description>This problem was solved by mccravyedwin:
  69. If (a/b)=(c/d)= k , b,d  0 , prove that (a+c)/(b+d) = k </description>
  70. <guid isPermaLink="false">23784413-44e0-3b64-a4b3-dff7075f3794</guid>
  71. <pubDate>Tue, 23 Apr 2024 16:47:12 -0006</pubDate>
  72. </item>
  73. <item>
  74. <title>Problem 1207018 solved by MathLover1</title>
  75. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207018</link>
  76. <description>This problem was solved by MathLover1:
  77. If x is equal to 2km what would 4x^2-1 equal
  78. </description>
  79. <guid isPermaLink="false">b8aa1fbf-52d3-3edc-8d15-02e4298d9634</guid>
  80. <pubDate>Tue, 23 Apr 2024 14:08:45 -0006</pubDate>
  81. </item>
  82. <item>
  83. <title>Problem 1207016 solved by josgarithmetic</title>
  84. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207016</link>
  85. <description>This problem was solved by josgarithmetic:
  86. one leg of a right triangle is 2 cm longer than the other leg, hypotenuse is 7 cm longer than the shorter leg. find the lengths of three sides of the right triangle</description>
  87. <guid isPermaLink="false">e8e9e88b-9feb-3554-b12c-169b8c415ce5</guid>
  88. <pubDate>Tue, 23 Apr 2024 11:43:59 -0006</pubDate>
  89. </item>
  90. <item>
  91. <title>Problem 1207015 solved by math_tutor2020</title>
  92. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207015</link>
  93. <description>This problem was solved by math_tutor2020:
  94. Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100.
  95.  
  96. 1.25x + 1.49 = 100
  97. What error did Barbara make in writing the equation?
  98.  
  99. Barbaras equation did not consider the number of bottles of water.
  100. Barbaras equation did not consider the number of bottles of iced tea.
  101. Barbaras equation did not use the correct price for the bottles of iced tea.
  102. Barbara&#x27;s equation did not use the correct total for sales. </description>
  103. <guid isPermaLink="false">5f408cbc-a7d6-3a6f-83d4-9ccd08166d07</guid>
  104. <pubDate>Tue, 23 Apr 2024 10:51:06 -0006</pubDate>
  105. </item>
  106. <item>
  107. <title>Problem 1207005 solved by Theo</title>
  108. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207005</link>
  109. <description>This problem was solved by Theo:
  110. For the situation described below, state the null hypothesis, H0, and the alternative hypothesis, Ha, to be tested. (Enter != for  as needed.)
  111. A statistical test is designed to show that the proportion p of defectives has decreased below 0.2%.
  112. H0:
  113. Ha:
  114. </description>
  115. <guid isPermaLink="false">7308d461-3e11-36e8-b4ca-165368a4712f</guid>
  116. <pubDate>Tue, 23 Apr 2024 05:11:49 -0006</pubDate>
  117. </item>
  118. <item>
  119. <title>Problem 1207006 solved by Theo</title>
  120. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207006</link>
  121. <description>This problem was solved by Theo:
  122. For the situation described below, state the null hypothesis,
  123. H0,
  124. and the alternative hypothesis,
  125. Ha,
  126. to be tested. (Enter != for  as needed.)
  127. A statistical test is designed to show that the mean  is different from 110.
  128. H0:
  129. Ha:
  130. </description>
  131. <guid isPermaLink="false">930222c6-d56d-3ac7-8cde-46797f7bd920</guid>
  132. <pubDate>Tue, 23 Apr 2024 05:05:03 -0006</pubDate>
  133. </item>
  134. <item>
  135. <title>Problem 1207008 solved by Theo</title>
  136. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207008</link>
  137. <description>This problem was solved by Theo:
  138. A new variety of pearl millet is expected to provide an increased yield over the variety presently in use which is about 90 bushels per acre. The new variety of millet produced an average yield of
  139. x = 98 bushels
  140. per acre with a standard deviation of
  141. s = 12.4 bushels
  142. based on 40 one-acre yields.
  143. Find the value of the test statistic for testing the hypotheses that the new variety will increase yield. (Round your answer to two decimal places.)
  144.  
  145. </description>
  146. <guid isPermaLink="false">7355abf1-b6a1-3bcb-897c-b1b319d8a1b3</guid>
  147. <pubDate>Tue, 23 Apr 2024 04:41:16 -0006</pubDate>
  148. </item>
  149. <item>
  150. <title>Problem 1207011 solved by ikleyn</title>
  151. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207011</link>
  152. <description>This problem was solved by ikleyn:
  153. The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 64 and a standard deviation of 9. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 64 and 82?</description>
  154. <guid isPermaLink="false">874038f6-3a67-35ac-a84e-13403537a0bf</guid>
  155. <pubDate>Tue, 23 Apr 2024 03:03:55 -0006</pubDate>
  156. </item>
  157. <item>
  158. <title>Problem 1207009 solved by math_tutor2020</title>
  159. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207009</link>
  160. <description>This problem was solved by math_tutor2020:
  161. which is greater -1.23 or -1 2/5
  162. </description>
  163. <guid isPermaLink="false">40f39648-6245-3698-b3da-4c72e39bc902</guid>
  164. <pubDate>Mon, 22 Apr 2024 23:51:26 -0006</pubDate>
  165. </item>
  166. <item>
  167. <title>Problem 1207012 solved by MathLover1</title>
  168. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207012</link>
  169. <description>This problem was solved by MathLover1:
  170. cos^2x=cscxcosx/tanx+cot     can you please prove this</description>
  171. <guid isPermaLink="false">2fa61ece-a602-3a80-8e9e-df233dbbe78e</guid>
  172. <pubDate>Mon, 22 Apr 2024 23:36:31 -0006</pubDate>
  173. </item>
  174. <item>
  175. <title>Problem 1207010 solved by greenestamps</title>
  176. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207010</link>
  177. <description>This problem was solved by greenestamps:
  178. A train leaves Orlando at 4:00 PM.  A second train leaves the same city in the same direction at 8:00 PM.  The second train travels 112mph
  179. faster than the first.  If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?</description>
  180. <guid isPermaLink="false">eb71abdb-5aa8-309d-9fe2-7623e4920cda</guid>
  181. <pubDate>Mon, 22 Apr 2024 20:50:53 -0006</pubDate>
  182. </item>
  183. <item>
  184. <title>Problem 1207010 solved by mccravyedwin</title>
  185. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207010</link>
  186. <description>This problem was solved by mccravyedwin:
  187. A train leaves Orlando at 4:00 PM.  A second train leaves the same city in the same direction at 8:00 PM.  The second train travels 112mph
  188. faster than the first.  If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?</description>
  189. <guid isPermaLink="false">db91d130-e4ee-3a32-8257-82e97ee88026</guid>
  190. <pubDate>Mon, 22 Apr 2024 18:46:31 -0006</pubDate>
  191. </item>
  192. <item>
  193. <title>Problem 1206997 solved by ikleyn</title>
  194. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1206997</link>
  195. <description>This problem was solved by ikleyn:
  196. A truck starts from Amsterdam at 10 am and heads for Prague, 875 km away. At the same time, a car leaves Prague and heads for Amsterdam at 100 kph. If the vehicles meet at 3 pm, what is the truck&#x27;s speed?</description>
  197. <guid isPermaLink="false">7f41f037-f726-36f6-b25c-32a7a6bb2778</guid>
  198. <pubDate>Mon, 22 Apr 2024 18:29:02 -0006</pubDate>
  199. </item>
  200. <item>
  201. <title>Problem 1206997 solved by josgarithmetic</title>
  202. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1206997</link>
  203. <description>This problem was solved by josgarithmetic:
  204. A truck starts from Amsterdam at 10 am and heads for Prague, 875 km away. At the same time, a car leaves Prague and heads for Amsterdam at 100 kph. If the vehicles meet at 3 pm, what is the truck&#x27;s speed?</description>
  205. <guid isPermaLink="false">85cd125a-fd33-38bd-bd59-190561d32d5e</guid>
  206. <pubDate>Mon, 22 Apr 2024 17:47:18 -0006</pubDate>
  207. </item>
  208. <item>
  209. <title>Problem 1207009 solved by josgarithmetic</title>
  210. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207009</link>
  211. <description>This problem was solved by josgarithmetic:
  212. which is greater -1.23 or -1 2/5
  213. </description>
  214. <guid isPermaLink="false">3da341ef-3b7e-3ea5-b1ad-5039bed49f84</guid>
  215. <pubDate>Mon, 22 Apr 2024 17:36:31 -0006</pubDate>
  216. </item>
  217. <item>
  218. <title>Problem 1206990 solved by mccravyedwin</title>
  219. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1206990</link>
  220. <description>This problem was solved by mccravyedwin:
  221. solve using simplex method max z=3x1+X2+3x3 for the following constraints 2x1+x2+x32, x1+2x2+3x35, 2x1+2x2+x36</description>
  222. <guid isPermaLink="false">6d22697e-0237-3483-9409-2f5da1e88813</guid>
  223. <pubDate>Mon, 22 Apr 2024 16:53:01 -0006</pubDate>
  224. </item>
  225. <item>
  226. <title>Problem 1207007 solved by MathLover1</title>
  227. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207007</link>
  228. <description>This problem was solved by MathLover1:
  229. For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for  as needed.)
  230. A researcher wishes to show that a modified treatment decreases the mean time to recovery , which is currently 6 days.
  231. H0:
  232. Ha:
  233. </description>
  234. <guid isPermaLink="false">eea40ce1-64f2-3953-8c7b-c149d3c0be26</guid>
  235. <pubDate>Mon, 22 Apr 2024 16:27:32 -0006</pubDate>
  236. </item>
  237. <item>
  238. <title>Problem 1207001 solved by greenestamps</title>
  239. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1207001</link>
  240. <description>This problem was solved by greenestamps:
  241. A local baseball team sold 187 tickets for a game. The ratio of adult tickets to child tickets was 3:2. The ratio of adult tickets to senior tickets was 9:2.
  242.  
  243. Part A
  244.  
  245. Select the diagrams that would represent the types of tickets sold.
  246. A row of 9 squares.
  247. A row of 7 squares.
  248. A row of 6 squares.
  249. A row of 5 squares.
  250. A row of 2 squares.
  251. Part B
  252.  
  253. Which of the following statements are true regarding the numbers of each type of ticket sold? Select all that apply.
  254.  
  255. The number of adult tickets sold was 22.
  256.  
  257. The number of adults tickets sold was 99.
  258.  
  259. The number of senior tickets sold was 22.
  260.  
  261. The number of senior tickets sold was 99.
  262.  
  263. The number of child tickets sold was 22.
  264.  
  265. The number of child tickets sold was 66.</description>
  266. <guid isPermaLink="false">f517822b-1332-3528-8236-b76ba039eac1</guid>
  267. <pubDate>Mon, 22 Apr 2024 15:08:55 -0006</pubDate>
  268. </item>
  269. <item>
  270. <title>Problem 1206924 solved by MathTherapy</title>
  271. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1206924</link>
  272. <description>This problem was solved by MathTherapy:
  273. Algebraically solve
  274. log(9x + 4) = 5 + log(2x  6)
  275. for x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)</description>
  276. <guid isPermaLink="false">694f7f4a-0170-3889-83c5-ea0433fb9b51</guid>
  277. <pubDate>Mon, 22 Apr 2024 13:39:39 -0006</pubDate>
  278. </item>
  279. <item>
  280. <title>Problem 1206998 solved by MathLover1</title>
  281. <link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1206998</link>
  282. <description>This problem was solved by MathLover1:
  283. Graph an AC voltage of -9.8 + 8.9i volts on a complex plane. What quadrant is the voltage vector in?</description>
  284. <guid isPermaLink="false">221afee4-b6b4-3a53-918d-6923a1fa2df8</guid>
  285. <pubDate>Mon, 22 Apr 2024 11:08:16 -0006</pubDate>
  286. </item>
  287. </channel>
  288. </rss>

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