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question:Care and Rick have a repair shop. Each repair is priced differently: phone repair costs 11, laptop repair costs 15 and computer repair costs 18. If they perform 5 phone repairs, 2 laptop repairs, and 2 computer repairs for this week, how much did they earn for the week?
answer:The cost of 5 phone repairs is 5 * 11 = 55 The cost of 2 laptop repairs is 2 * 15 = 30 The cost of 2 computer repairs is 2 * 18 = 36 Therefore, Care and Rick earned 55 + 30 + 36 = 121 for the week. 121 The answer is: 121
question:A parking area near Peter's house is 4 stories tall. There are 4 open parking spots on the first level. There are 7 more open parking spots on the second level than on the first level, and there are 6 more open parking spots on the third level than on the second level. There are 14 open parking spots on the fourth level. How many open parking spots are there in all?
answer:On the first level, there are 4 open parking spots. On the second level, there are 4 + 7 = 11 open parking spots. On the third level, there are 11 + 6 = 17 open parking spots. On the fourth level, there are 14 open parking spots. In total, there are 4 + 11 + 17 + 14 = 46 open parking spots. 46 The answer is: 46
question:John uses 5 liters of fuel per km to travel. How many liters of fuel should John plan to use if he plans to travel on two trips of x km and 20 km? If we know the answer to the above question is 250, what is the value of unknown variable x?
answer:We know that John uses 5 liters of fuel per km to travel. For the first trip of x km, he would use 5x liters of fuel. For the second trip of 20 km, he would use 5 * 20 = 100 liters of fuel. The total amount of fuel he should plan to use is the sum of the fuel used for both trips: 5x + 100. We are given that the total amount of fuel is 250 liters, so we can write: 5x + 100 = 250. Solving for x, we get: 5x = 150. Dividing both sides by 5, we get: x = 30. The value of x is 30. 30 The answer is: 30
question:Let a and b be the roots of x^2 - 4x + 5 = X Compute [a^3 + a^4 b^2 + a^2 b^4 + b^3. The answer is 154. What is the value of unknown variable X?
answer:To solve this problem, we need to determine the value of x, which represents the roots of the equation. We are given the expression a^3 + a^4 b^2 + a^2 b^4 + b^3. Since a and b are the roots of the equation, we can rewrite the expression using the sum and product of roots: (a + b)(a^2 - ab + b^2) + ab(a^2 + b^2) We know that (a + b) = 4 (from the equation x^2 - 4x + 5 = 0) and ab = 5 (from the equation x^2 - 4x + 5 = 0). Substituting these values into the expression, we have: 4(a^2 - ab + b^2) + 5(a^2 + b^2) Expanding and simplifying the expression, we get: 4a^2 - 4ab + 4b^2 + 5a^2 + 5b^2 Combining like terms, we have: 9a^2 - 4ab + 9b^2 Since we know that the expression is equal to 154, we can set it equal to 154 and solve for unknown variable x: 9a^2 - 4ab + 9b^2 = 154 Let's simplify and solve for x: 9a^2 - 4ab + 9b^2 - 154 = 0 To solve for x, we need to solve this quadratic equation. However, since we do not have enough information about a and b, we cannot determine the value of x. Therefore, the value of unknown variable x cannot be determined from the given information. The answer is: 0