answer:Eugene used 52 - 16 = 36 cards to build his house. For each card, he used 75 toothpicks. So, he used a total of 36 * 75 = 2700 toothpicks. If a box of toothpicks contains 450 toothpicks, then Eugene used 2700 / 450 = 6 boxes of toothpicks. 6 The answer is: 6

answer:We know that Gentry used four hoses to fill the pool. Two of the hoses deliver water at a rate of 2 gallons per minute, and the other two hoses deliver water at a rate of 3 gallons per minute. The total rate at which water is being delivered is 2 + 2 + 3 + 3 = 10 gallons per minute. To find out how many minutes it will take to fill the pool, we can use the formula: time = (volume of pool) / (rate of water delivery) Substituting x for "volume of pool" and 10 for "rate of water delivery", we get: time = x / 10 Since we want to find the time in hours, we need to convert minutes to hours by dividing by 60: time = (x / 10) / 60 = x / 600 We are given that the time it takes to fill the pool is 25 hours, so we can write: x / 600 = 25 Solving for x, we get: x = 15000 The value of x is 15000. 15000 The answer is: 15000

answer:We can rewrite 9 as 3^2, so the equation becomes 3^{x^2+4x+4}=(3^2)^{x+2}. This simplifies to 3^{x^2+4x+4}=3^{2(x+2)}. Since the bases are the same, we can set the exponents equal to each other: x^2+4x+4=2(x+2). Expanding and rearranging, we get x^2+4x+4=2x+4. Subtracting 2x+4 from both sides, we have x^2+2x=0. Factoring out an x, we get x(x+2)=0. So the solutions are x=0 and x=-2. The sum of these solutions is 0+(-2)=boxed{-2}.The answer is: -2

answer:If Layla won with 70 points and the total number of points scored was 112, then Nahima must have scored 112 - 70 = 42 points. Therefore, Layla scored 70 - 42 = 28 more points than Nahima. 28 The answer is: 28