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question:Ursula is working at a marketing firm. She created a 30-second long commercial. Her boss told her that this commercial is too long to air and told her to shorten the commercial by 30%. How long will this commercial be after Ursula makes the desired changes?
answer:Ursula's commercial is 30 seconds long. To shorten the commercial by 30%, she needs to reduce it by 30/100 * 30 = 9 seconds. So the commercial will be 30 - 9 = 21 seconds long after Ursula makes the desired changes. 21 The answer is: 21
question:Cristobal read 15 more than three times the pages that Beatrix read. If Beatrix read x pages, Cristobal read 1423 more pages. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of pages Beatrix read. We know that Cristobal read 15 more than three times the pages that Beatrix read. Therefore, Cristobal read 3x + 15 pages. We also know that Cristobal read 1423 more pages than Beatrix. Therefore, Cristobal read x + 1423 pages. We can set up the equation as follows: Cristobal's number of pages = Beatrix's number of pages + 1423 3x + 15 = x + 1423 Let's solve for x: 2x = 1408 To isolate x, we divide both sides of the equation by 2: x = 1408 / 2 x = 704 The value of x is 704. 704 The answer is: 704
question:Karl was attempting to calculate economic figures. He found the following equation to be true:[fp-w=10000]If f=5 and w=5+125i, what is p?
answer:We can substitute the given values into the equation to get:[5p-(5+125i)=10000]Simplifying, we have:[5p-5-125i=10000]Adding 5 to both sides, we get:[5p-125i=10005]Dividing both sides by 5, we have:[p-25i=2001]Finally, adding 25i to both sides, we get:[p=2001+25i]Therefore, p=boxed{2001+25i}. The answer is: 2001+25i
question:f Ali and Sara together ate a total of 80 small apples and Ali ate 4 times more apples than Sara, how many apples did Sara eat?
answer:If Ali ate 4 times more apples than Sara, then let's say Sara ate x apples. So, Ali ate 4x apples. Together, they ate x + 4x = 5x apples. We know that they ate a total of 80 apples, so 5x = 80. Dividing both sides of the equation by 5, we find that x = 16. Therefore, Sara ate 16 apples. 16 The answer is: 16