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question:f a rectangle has a width of 42 inches and an area of 1638, how many rectangles of the same size would reach a length of 390 inches?

answer:The formula for the area of a rectangle is length × width. We are given that the width of the rectangle is 42 inches and the area is 1638. So, 1638 = length × 42. To find the length, we divide both sides of the equation by 42: length = 1638 / 42 = 39. Therefore, the length of the rectangle is 39 inches. To find how many rectangles of the same size would reach a length of 390 inches, we divide 390 by the length of one rectangle: 390 / 39 = 10. So, 10 rectangles of the same size would reach a length of 390 inches. 10 The answer is: 10

question:f Rory initially had 100 L of rainwater in his tank and during a heavy rainstorm, water flowed into the tank at a rate of 2 L per minute for 90 minutes, what is the total amount of water in the tank at the end of the heavy rain?

answer:During the heavy rainstorm, water flowed into the tank at a rate of 2 L per minute for 90 minutes. So, the total amount of water that flowed into the tank is 2 L/min x 90 min = 180 L. Rory initially had 100 L of rainwater in his tank. Therefore, the total amount of water in the tank at the end of the heavy rain is 100 L + 180 L = 280 L. 280 The answer is: 280

question:Sam has x cows. 5 more than half the cows are black. There are 4 cows that are not black. 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 number of cows Sam has. Let's break down the information given: Number of black cows: (1/2)x + 5 Number of cows that are not black: 4 We can set up the equation as follows: Number of black cows + Number of cows that are not black = Total number of cows (1/2)x + 5 + 4 = x Let's simplify and solve for x: (1/2)x + 9 = x To isolate x, we subtract (1/2)x from both sides of the equation: (1/2)x - (1/2)x + 9 = x - (1/2)x 9 = (1/2)x To solve for x, we multiply both sides of the equation by 2: 9 * 2 = (1/2)x * 2 18 = x The value of x is 18. 18 The answer is: 18

question:luding the breeding rabbits, what is the total number of rabbits that Lola has in her house, considering that during the first spring her 10 breeding rabbits had 10 times as many kittens as the number of breeding rabbits Lola has, and half of the kittens got adopted, with 5 of them being returned to Lola due to re-homing problems, and during the next spring her 10 breeding rabbits only had a total of 60 kittens, with 4 of the kittens being adopted?

answer:During the first spring, Lola's 10 breeding rabbits had 10 times as many kittens as the number of breeding rabbits Lola has, so there were 10*10=<<10*10=100>>100 kittens. Half of the kittens got adopted, so there were 100/2=<<100/2=50>>50 kittens remaining. 5 of the kittens were returned to Lola, so she now has 50+5=<<50+5=55>>55 kittens. During the next spring, Lola's 10 breeding rabbits had a total of 60 kittens. 4 of the kittens were adopted, so she now has 55+60-4=<<55+60-4=111>>111 kittens. Including the breeding rabbits, Lola has 10+111=<<10+111=121>>121 rabbits in her house. 121 The answer is: 121