answer:We can start by finding the prime factorization of 221. We can see that 221 is divisible by 13, since 221 = 13 cdot 17. Since 17 is a prime number, the largest prime factor of 221 is boxed{17}. The answer is: 17

answer:For the graphs to intersect at exactly one point, we need the quadratic equation ax^2 + 3x + 1 = -x - 1 to have exactly one solution. This equation simplifies to ax^2 + 4x + 2 = 0. For a quadratic equation to have exactly one solution, the discriminant must be equal to zero. The discriminant of this equation is 4^2 - 4(a)(2) = 16 - 8a. Setting the discriminant equal to zero, we have 16 - 8a = 0, which means a = boxed{2}. The answer is: 2

answer:If one basket has 18 mangoes, another has 10 pears, and another has 12 pawpaws, then the total number of fruits in these three baskets is 18 + 10 + 12 = 40. If there are 5 baskets in total and the total number of fruits is 58, then the other two baskets must have a total of 58 - 40 = 18 fruits. Since the last two baskets have an equal number of kiwi and lemon, the total number of lemons is half of the remaining fruits, which is 18 / 2 = 9 lemons. Therefore, there are 9 lemons in total. 9 The answer is: 9

answer:Asia purchased the dress for 140 and it was originally priced at 350. To find the discount, we need to subtract the sale price from the original price: 350 - 140 = 210. The discount amount is 210. To find the percentage discount, we divide the discount amount by the original price and multiply by 100: (210 / 350) * 100 = 60%. So, Asia received a 60% discount on the dress. 60 The answer is: 60