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question:Out of 1500 people surveyed, 25% do not like television, and out of those who do not like television, 15% also do not like books. How many people surveyed do not like both television and books?

answer:First, I need to determine how many people out of the 1500 surveyed do not like television. Since 25% of the surveyed individuals do not like television, I can calculate this by multiplying 1500 by 0.25.Next, I need to find out how many of those who do not like television also do not like books. The problem states that 15% of the people who do not like television also do not like books. Therefore, I will take the number of people who do not like television and multiply it by 0.15 to find the number of people who dislike both television and books.Finally, I will present the calculated number of people who do not like both television and books as the final answer.

question:In a magical pond, there are 20 frogs, 10 crocodiles, 15 spiders, and 5 cyclops. Each frog and crocodile has 2 eyes, each spider has 8 eyes and each cyclops has 1 eye. Calculate the total number of animal eyes in the pond.

answer:First, I need to determine the number of eyes contributed by each type of animal in the pond.For the frogs, there are 20 frogs, and each frog has 2 eyes. So, the total number of eyes from the frogs is 20 multiplied by 2, which equals 40 eyes.Next, for the crocodiles, there are 10 crocodiles, and each crocodile also has 2 eyes. Therefore, the total number of eyes from the crocodiles is 10 multiplied by 2, resulting in 20 eyes.Moving on to the spiders, there are 15 spiders, and each spider has 8 eyes. This means the total number of eyes from the spiders is 15 multiplied by 8, which equals 120 eyes.Lastly, for the cyclops, there are 5 cyclops, and each cyclops has 1 eye. Thus, the total number of eyes from the cyclops is 5 multiplied by 1, resulting in 5 eyes.Now, I will add up all the eyes from each type of animal to find the total number of eyes in the pond.40 eyes (from frogs) + 20 eyes (from crocodiles) + 120 eyes (from spiders) + 5 eyes (from cyclops) equals 185 eyes.Therefore, the total number of animal eyes in the pond is 185.

question:Mark collects money for the homeless. He visits 20 households a day for 5 days and half of those households give him a pair of 20s. How much did he collect?

answer:First, determine the total number of households Mark visits by multiplying the number of households he visits each day by the number of days: 20 households/day * 5 days = 100 households.Next, calculate how many of these households give him money. Since half of the households give him a pair of 20s, divide the total number of households by 2: 100 households / 2 = 50 households.Each household that gives money contributes a pair of 20s, which is 2 * 20 = 40.Finally, multiply the number of contributing households by the amount each contributes to find the total amount collected: 50 households * 40 = 2,000.

question:If you draw a line bisector of the vertex angle of an isosceles triangle, the length of the each divided base is 4 meters (m). How many meters (m) is the total length of the base?

answer:First, I recognize that the problem involves an isosceles triangle, which has two equal sides and a base.The vertex angle is the angle between the two equal sides.A line bisector of the vertex angle divides this angle into two equal parts.This bisector also intersects the base of the triangle, dividing it into two equal segments.Each of these segments is given to be 4 meters long.Since the base is divided into two equal parts, the total length of the base is the sum of these two segments.Therefore, the total length of the base is 4 meters plus 4 meters, which equals 8 meters.

question:A local bus tour sold 65 tickets. Senior citizen tickets cost 10 dollars and regular tickets cost 15 dollars. They sold 24 senior citizen tickets. What was the total sales amount?

answer:First, I need to determine the total sales from senior citizen tickets. There are 24 senior citizen tickets sold at 10 each.Next, I'll calculate the total sales from regular tickets. Since there are 65 tickets in total and 24 are senior citizen tickets, the number of regular tickets sold is 65 minus 24, which equals 41. Each regular ticket costs 15.Finally, I'll add the total sales from senior citizen tickets and regular tickets to find the overall total sales amount.

question:Calculate sqrt[3]{125} cdot sqrt[4]{256} cdot sqrt{16} and express it as a positive integer.

answer:First, I need to simplify each of the radicals in the expression.For the cube root of 125, I recognize that 125 is equal to 5 cubed. Therefore, the cube root of 125 simplifies to 5.Next, for the fourth root of 256, I note that 256 is equal to 2 raised to the eighth power. Taking the fourth root of 2^8 results in 2 squared, which is 4.Lastly, the square root of 16 is straightforward since 16 is 4 squared. Thus, the square root of 16 is 4.Now, I multiply these simplified values together: 5 multiplied by 4 is 20, and 20 multiplied by 4 equals 80.Therefore, the expression simplifies to the positive integer 80.

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