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question:'s payday but Jebb has to pay x% for the tax. If his pay is 650, His take-home pay is 585. What is the value of unknown variable x?

answer:To solve this problem, we need to determine the value of x, which represents the tax rate as a percentage. We know that Jebb's pay is 650 and his take-home pay is 585. The difference between his pay and take-home pay is the amount he pays for taxes, which is 650 - 585 = 65. We can set up the equation as follows: (x/100) * 650 = 65 Let's simplify and solve for x: (650x) / 100 = 65 To isolate x, we multiply both sides of the equation by 100/650: (650x) / 100 * (100/650) = 65 * (100/650) x = 10 The value of x is 10. 10 The answer is: 10

question:Chester must deliver ten bales of hay to Farmer Brown. Farmer Brown wants Chester to supply better quality hay and double the delivery of bales of hay. If the previous hay cost x per bale, and the better quality one cost 18 per bale, how much more money will Farmer Brown need to meet his own new requirements? If we know the answer to the above question is 210, what is the value of unknown variable x?

answer:Chester needs to deliver ten bales of hay. Farmer Brown wants double the delivery, so he wants twenty bales of hay. The previous hay cost x per bale, so the cost of the previous hay is 10x. The better quality hay costs 18 per bale, so the cost of the better quality hay is 20 * 18 = 360. To find out how much more money Farmer Brown needs, we subtract the cost of the previous hay from the cost of the better quality hay: 360 - 10x. We are given that Farmer Brown needs 210 more, so we can write: 360 - 10x = 210. Solving for x, we get: x = 15. The value of x is 15. 15 The answer is: 15

question:Simplify 2(3-i)+i(2+i).

answer:Using the distributive property, we have [2(3-i)+i(2+i) = 6-2i+2i+i^2 = 6-2i+2i+(-1).] Notice that the -2i and the 2i cancel each other out, so we are left with [6+(-1) = boxed{5}.] The answer is: 5

question:Over the past five years, on July 4th, the high temperature for Washington, DC has been: x degrees in 2020, 90 degrees in 2019, 90 degrees in 2018, 79 degrees in 2017 and 71 degrees in 2016. What is the average temperature for July 4th in Washington, DC over the past 5 years is 84. 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 high temperature for Washington, DC on July 4th in the year 2020. We know the high temperatures for the years 2019, 2018, 2017, and 2016, and we know that the average temperature for July 4th over the past 5 years is 84 degrees. We can set up the equation as follows: (90 + 90 + 79 + 71 + x) / 5 = 84 Let's simplify and solve for x: (330 + x) / 5 = 84 To isolate x, we multiply both sides of the equation by 5: 330 + x = 420 To solve for x, we subtract 330 from both sides of the equation: x = 420 - 330 x = 90 The value of x is 90. 90 The answer is: 90

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