answer:The ratio of red candles to blue candles is 5:3. This means that for every 5 red candles, there are 3 blue candles. If Avianna had 45 red candles, we can set up a proportion to find the number of blue candles. 5/3 = 45/x Cross multiplying, we get 5x = 3 * 45 5x = 135 Dividing both sides by 5, we get x = 27 Therefore, Avianna had 27 blue candles. 27 The answer is: 27

answer:Buying a replacement stove will cost x. Fixing the damage to the wall will cost 1/6th as much as buying a replacement stove, which means it will cost (1/6)*x dollars. The total cost is the sum of the cost of the replacement stove and the cost of fixing the wall: x + (1/6)*x. We are given that the total cost is 1400, so we can write: x + (1/6)*x = 1400. To simplify the equation, we can combine like terms: (7/6)*x = 1400. Dividing both sides by (7/6), we get: x = (1400) * (6/7). Simplifying the right side, we get: x = 1200. The value of x is 1200. 1200 The answer is: 1200

answer:Since one angle of the right triangle is 45^{circ}, we know that the other angle is also 45^{circ} because the sum of the angles in a triangle is 180^{circ}. Therefore, the right triangle is an isosceles right triangle. Let x be the length of one leg of the right triangle. By the Pythagorean Theorem, we have x^2 + x^2 = (6sqrt{2})^2. Simplifying, we get 2x^2 = 72. Dividing by 2, we have x^2 = 36. Taking the square root, we get x = 6. Therefore, the area of the triangle is (6)(6)/2 = boxed{18} square inches. The answer is: 18

answer:Three dozen eggs is equal to 3 x 12 = 36 eggs. Tricia will use 1/4 x 36 = 9 eggs for making crepes. There are 36 - 9 = 27 eggs remaining. Tricia will use 2/3 x 27 = 18 eggs for making cupcakes. Therefore, there are 27 - 18 = 9 eggs left to make sunny-side-up eggs for breakfast. 9 The answer is: 9