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<managingEditor>webmaster@algebra.com</managingEditor>
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<webMaster>webmaster@algebra.com</webMaster>
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line 27, column 40: (25 occurrences) [help]
<pubDate>Thu, 18 Sep 2025 13:21:47 -0006</pubDate>
^
<<u,v>> = 2u1v1 + u2v2 + 4u3v3
</channel>
<?xml version="1.0" encoding="UTF-8"?> <rss version="2.0" xmlns:blogChannel="http://backend.userland.com/blogChannelModule"> <channel><title>Algebra.Com New solved problems</title><link>http://www.algebra.com</link><description>New Solutions by tutors</description><language>en-us</language><copyright>Copyright Algebra.Com</copyright><pubDate>Fri, 19 Sep 2025 05:29:00 +0000</pubDate><lastBuildDate>Fri, 19 Sep 2025 05:29:00 +0000</lastBuildDate><managingEditor>webmaster@algebra.com</managingEditor><webMaster>webmaster@algebra.com</webMaster> <item><title>Problem 1159268 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159268</link><description>This problem was solved by ikleyn:The Diver Time company makes digital watches for scuba divers. The company models its profits with the function P(d) = 2d^2 + 13d -6 , where d is the number of watches sold, in hundreds, and P(d) is the companys profit, in tens of thousands of dollars. a. how much profit is made when a 100,000 watches are sold?b. how many watches must the company sell in order to break even?</description><guid isPermaLink="false">5d9135c6-3b5c-335e-9592-c74770120ee7</guid><pubDate>Thu, 18 Sep 2025 13:21:47 -0006</pubDate></item><item><title>Problem 1159458 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159458</link><description>This problem was solved by ikleyn:Solve the inequality|x-2|>2x-5</description><guid isPermaLink="false">521b1031-ac61-3100-baab-d4a42bd7e9f7</guid><pubDate>Wed, 17 Sep 2025 23:45:03 -0006</pubDate></item><item><title>Problem 1159323 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159323</link><description>This problem was solved by ikleyn:A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate a decoration on the frame. The forth side is (3x-1) inches wide, as shown in the figure. a) write a quadratic expression for the combined area of the frame in terms of x.b)if the border on the three matching sides in 1 inch, what is the combined area of the frame?c)if the combined area of the frame is 165 square inches, find x.</description><guid isPermaLink="false">3bf17375-d2c6-3508-8ff1-a3537e9d8b72</guid><pubDate>Wed, 17 Sep 2025 11:41:20 -0006</pubDate></item><item><title>Problem 1157698 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1157698</link><description>This problem was solved by ikleyn:In RST, angle R = 140 and side s = (3/4)r. Find the measures of angles S and T.</description><guid isPermaLink="false">792c67d1-3ee4-3de8-b454-a2965b25840b</guid><pubDate>Tue, 16 Sep 2025 21:23:56 -0006</pubDate></item><item><title>Problem 1160143 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1160143</link><description>This problem was solved by ikleyn:How would I write the following so the coefficient is in front?1. (3y)82. 3(4b)</description><guid isPermaLink="false">10df7a51-8fa9-330a-90e6-0d271fc72590</guid><pubDate>Tue, 16 Sep 2025 19:41:13 -0006</pubDate></item><item><title>Problem 1210397 solved by MathTherapy</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210397</link><description>This problem was solved by MathTherapy:Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.(a) How much did he spend on the pears?(b) How many pears did he buy?</description><guid isPermaLink="false">315d4356-f4da-396f-862d-e33563b75d9f</guid><pubDate>Tue, 16 Sep 2025 15:39:19 -0006</pubDate></item><item><title>Problem 1210396 solved by MathTherapy</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210396</link><description>This problem was solved by MathTherapy:Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?</description><guid isPermaLink="false">b27c7f2b-fd72-318e-9922-8339ef637b06</guid><pubDate>Tue, 16 Sep 2025 12:03:35 -0006</pubDate></item><item><title>Problem 1160968 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1160968</link><description>This problem was solved by ikleyn:Let L be the line spanned by [-1, 4, 9, 0] in R^4Find a basis of the orthogonal complement L of L.</description><guid isPermaLink="false">ebaad699-0231-3a37-a69c-15b2ddc73bb3</guid><pubDate>Mon, 15 Sep 2025 13:22:38 -0006</pubDate></item><item><title>Problem 1210396 solved by mccravyedwin</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210396</link><description>This problem was solved by mccravyedwin:Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?</description><guid isPermaLink="false">fe412112-ce49-32c5-887b-31b5952c7078</guid><pubDate>Mon, 15 Sep 2025 13:05:27 -0006</pubDate></item><item><title>Problem 1160790 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1160790</link><description>This problem was solved by ikleyn:A mathematics professor gives an "extra-credit" (bonus marks) problem on a test. If it is done correctly,15 points are added to the test score, and if it is done partially correctly,5 points are added; otherwise 5 points are subtracted. Suppose a student's probability of getting the problem completely right is 1/4, and only partially correct is 1/2. Find the student's mathematical expectation (expected value) for extra credit. </description><guid isPermaLink="false">6787a8c3-ef1a-3366-913f-2b9f9435be7d</guid><pubDate>Mon, 15 Sep 2025 12:17:35 -0006</pubDate></item><item><title>Problem 1167284 solved by Resolver123</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167284</link><description>This problem was solved by Resolver123:Four players each are dealt one card. In how many ways could the cards all be clubs or honour cards (10, J, Q, K, A)?</description><guid isPermaLink="false">021e63d3-d188-35d8-90d3-9936ba3060a4</guid><pubDate>Mon, 15 Sep 2025 09:39:23 -0006</pubDate></item><item><title>Problem 1167294 solved by Resolver123</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167294</link><description>This problem was solved by Resolver123:The supply and demand for a product are given by 2p q = 60 and pq = 100 + 25q, respectively. Find the market equilibrium point.p,q=</description><guid isPermaLink="false">122db5f0-0046-320d-805a-f088d7d7eb56</guid><pubDate>Mon, 15 Sep 2025 09:11:31 -0006</pubDate></item><item><title>Problem 1167649 solved by Resolver123</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167649</link><description>This problem was solved by Resolver123:Suppose u, v R3. Determine if the function<<u,v>> = 2u1v1 + u2v2 + 4u3v3is an inner product on R3. If it is not an inner product, list the axioms which do not hold.</description><guid isPermaLink="false">be6a23cf-4752-35d3-b55e-15a7a41c5cdd</guid><pubDate>Mon, 15 Sep 2025 08:21:14 -0006</pubDate></item><item><title>Problem 1210396 solved by greenestamps</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210396</link><description>This problem was solved by greenestamps:Hakim spent 3/8 of his money on 3 cupcakes and 8 muffins. Then he spent 4/5 of the remaining money on 15 pieces of waffle. Each cupcake cost 2/3 as much as a muffin. Each piece of waffle cost $0.20 more than a cupcake. What was the cost of a muffin?</description><guid isPermaLink="false">48b4a9bf-ed15-32d2-9cb1-cb69b6b91ee1</guid><pubDate>Sun, 14 Sep 2025 21:57:27 -0006</pubDate></item><item><title>Problem 1210397 solved by greenestamps</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210397</link><description>This problem was solved by greenestamps:Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.(a) How much did he spend on the pears?(b) How many pears did he buy?</description><guid isPermaLink="false">7eb756d8-9a5f-3f9a-bfc8-6882b16c1d8c</guid><pubDate>Sun, 14 Sep 2025 21:21:43 -0006</pubDate></item><item><title>Problem 1210397 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210397</link><description>This problem was solved by ikleyn:Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.(a) How much did he spend on the pears?(b) How many pears did he buy?</description><guid isPermaLink="false">20bf4578-08a4-30bb-aa4b-487cd20acef9</guid><pubDate>Sun, 14 Sep 2025 21:10:29 -0006</pubDate></item><item><title>Problem 1210397 solved by josgarithmetic</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210397</link><description>This problem was solved by josgarithmetic:Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.(a) How much did he spend on the pears?(b) How many pears did he buy?</description><guid isPermaLink="false">048a011b-2730-36c2-8fe4-a75686e219ec</guid><pubDate>Sun, 14 Sep 2025 20:55:37 -0006</pubDate></item><item><title>Problem 1159986 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159986</link><description>This problem was solved by ikleyn:A plane is steering at S65W at an air speed of 625 km/h. The wind is from the NW at 130 km/h. Find the ground speed and track of the plane. Include a vector diagram in your solution. </description><guid isPermaLink="false">e8dc65a1-4a2f-3283-8da0-11abab5cf87a</guid><pubDate>Sun, 14 Sep 2025 20:32:14 -0006</pubDate></item><item><title>Problem 1160091 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1160091</link><description>This problem was solved by ikleyn:1. A plane is steering at S65W at an air speed of 625 km/h. The wind is from the NW at 130 km/h. Find the ground speed and track of the plane. Include a vector diagram in your solution. </description><guid isPermaLink="false">6d6b40a8-4b0c-3e3d-b7ca-a4cb7ec2cf0f</guid><pubDate>Sun, 14 Sep 2025 19:41:16 -0006</pubDate></item><item><title>Problem 1159991 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159991</link><description>This problem was solved by ikleyn:A plane is steering at S65W at an air speed of 625 km/h. The wind is from the NW at 130 km/h. Find the ground speed and track of the plane. Include a vector diagram in your solution. </description><guid isPermaLink="false">4491bd0e-c7a4-3d8d-b3a9-ab50be0937d0</guid><pubDate>Sun, 14 Sep 2025 19:26:02 -0006</pubDate></item><item><title>Problem 1167649 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167649</link><description>This problem was solved by ikleyn:Suppose u, v R3. Determine if the functionu, v = 2u1v1 + u2v2 + 4u3v3is an inner product on R3. If it is not an inner product, list the axioms which do not hold.</description><guid isPermaLink="false">0335078e-4349-304c-933c-85baa9c0aa59</guid><pubDate>Sun, 14 Sep 2025 16:46:16 -0006</pubDate></item><item><title>Problem 1159507 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1159507</link><description>This problem was solved by ikleyn:Find a non-zero 22 matrix such that:[-9, -3] * [] = [0, 0][18, 6] [] [0, 0]</description><guid isPermaLink="false">4b38accc-e8d6-36af-8b6e-190bfe8cb20a</guid><pubDate>Sun, 14 Sep 2025 14:29:16 -0006</pubDate></item><item><title>Problem 1167311 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167311</link><description>This problem was solved by ikleyn:tim did 10 lunges on day 1 and continued this doing 4 more lunges on each day.on day 7th he took a breakand did nt do any day day.what is the equation for this? express it in the form y=ax(x+b)+c, where a,b and c are constants.x= no of days and y=no of lunges timid</description><guid isPermaLink="false">c44b31f1-b67d-3366-ac27-86c0cdf76d78</guid><pubDate>Sun, 14 Sep 2025 12:59:59 -0006</pubDate></item><item><title>Problem 1167337 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1167337</link><description>This problem was solved by ikleyn:tim did 10 lunges on day 1 and continued this doing 4 more lunges on each day.on day 7th he took a breakand did nt do any day day.what is the equation for this? express it in the form y=ax(x+b)+c, where a,b and c are constants.x= no of days and y=no of lunges tim Did</description><guid isPermaLink="false">8c570475-f2ea-304b-96e1-20d5691e2623</guid><pubDate>Sun, 14 Sep 2025 12:56:46 -0006</pubDate></item><item><title>Problem 1210392 solved by ikleyn</title><link>http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=1210392</link><description>This problem was solved by ikleyn:It costs 11.25 a day to stay in a hotel in September and 88.25 a week in August.by comparing the cost of a week holiday inSeptember with that of a week's holiday inAugust find ratio of cost in lowest terms </description><guid isPermaLink="false">14e7d675-f437-3df5-9340-362d898b148b</guid><pubDate>Sun, 14 Sep 2025 11:24:42 -0006</pubDate></item></channel></rss>If you would like to create a banner that links to this page (i.e. this validation result), do the following:
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