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question:John used to go to the gym multiple times a weak but because of lockdowns he hasn't been able to go. He used to lift 700 for squat, 400 for bench, and x for deadlift. For squat he lost 30% of his lift. He didn't lose any weight on bench because he was able to train that at home and he lost 200 pounds on deadlift. His new total is 1490. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the weight John used for deadlift before the lockdowns. Let's break down the information given: Weight lifted for squat before lockdown: 700 Weight lifted for bench before lockdown: 400 Weight lifted for deadlift before lockdown: x Percentage of weight lost for squat: 30% Weight lost for deadlift: 200 pounds New total weight lifted: 1490 We can set up the equation as follows: Weight lifted for squat after lockdown + Weight lifted for bench after lockdown + Weight lifted for deadlift after lockdown = New total weight lifted (700 - 30% of 700) + 400 + (x - 200) = 1490 Let's simplify and solve for x: (700 - 0.3 * 700) + 400 + (x - 200) = 1490 (700 - 210) + 400 + (x - 200) = 1490 490 + 400 + (x - 200) = 1490 To isolate x, we subtract 490 and 400 from both sides of the equation: 490 + 400 - 490 - 400 + (x - 200) = 1490 - 490 - 400 x - 200 = 600 To solve for x, we add 200 to both sides of the equation: x - 200 + 200 = 600 + 200 x = 800 The value of x is 800. 800 The answer is: 800
question:A portable battery charger can fully charge a smartphone in x minutes or a tablet in 53 minutes. Ana charged her tablet fully and her phone halfway. It took 66 minutes. 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 minutes it takes to fully charge a smartphone. Let's break down the information given: Time to charge a tablet: 53 minutes Time to charge a smartphone: x minutes Time taken to charge the tablet fully: 53 minutes Time taken to charge the smartphone halfway: x/2 minutes Total time taken: 66 minutes We can set up the equation as follows: Time taken to charge the tablet fully + Time taken to charge the smartphone halfway = Total time taken 53 + x/2 = 66 Let's simplify and solve for x: x/2 = 66 - 53 x/2 = 13 To isolate x, we multiply both sides of the equation by 2: 2 * (x/2) = 2 * 13 x = 26 The value of x is 26. 26 The answer is: 26
question:During the holidays, Lance works as a merchandiser. He works 35 hours a week, spread equally over 5 workdays. If Lance earns x an hour, He makes 63 on each workday. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents Lance's hourly wage. We know that Lance works 35 hours a week, spread equally over 5 workdays. Therefore, he works 35/5 = 7 hours per workday. We also know that Lance makes 63 on each workday. We can set up the equation as follows: Lance's hourly wage * Number of hours worked per workday = Amount earned per workday x * 7 = 63 Let's simplify and solve for x: 7x = 63 To isolate x, we divide both sides of the equation by 7: 7x / 7 = 63 / 7 x = 9 The value of x is 9. 9 The answer is: 9
question:a group of six tourists, two tour guides are leading the group. The guides decide to split up, with each tourist choosing one guide. However, each guide must take at least one tourist. How many different combinations of guides and tourists are possible?
answer:Each tourist has two choices for which guide to choose. So there are 2^6 total combinations of guides and tourists. However, we must subtract the case where one guide is left without any tourists. There are 2 ways for this to happen (either guide 1 is left without tourists or guide 2 is left without tourists). Thus, the answer is 2^6 - 2 = boxed{62}. The answer is: 62