answer:To solve this problem, we need to determine the value of x, which represents the price difference between the t-shirt and the socks. Let's break down the information given: Price of the socks: 5 Price of the jeans: 30 Price of the t-shirt: Unknown (represented by x) We know that the jeans are twice the price of the t-shirt, and the t-shirt is x more expensive than the socks. We can set up the equation as follows: Price of the t-shirt = Price of the socks + x Price of the jeans = 2 * Price of the t-shirt Let's substitute the given values into the equation: 30 = 2 * (Price of the socks + x) Let's simplify and solve for x: 30 = 2 * (5 + x) 30 = 10 + 2x To isolate x, we subtract 10 from both sides of the equation: 30 - 10 = 10 - 10 + 2x 20 = 2x To solve for x, we divide both sides of the equation by 2: 20 / 2 = 2x / 2 10 = x The value of x is 10. 10 The answer is: 10

answer:The area of the mural is 20 ft * 15 ft = 300 square feet. It takes James x minutes to paint 1 square foot, so it will take him x * 300 minutes to paint the entire mural. We need to convert the time to hours, so we divide by 60: (x * 300) / 60 = 5x hours. James charges 150 per hour, so the total cost to paint the mural is 5x * 150 = 750x. We are given that the total cost is 15000, so we can write: 750x = 15000. Dividing both sides by 750, we get: x = 20. The value of x is 20. 20 The answer is: 20

answer:We can rewrite tan 120^circ as tan(180^circ - 60^circ). Using the identity tan (180^circ - theta) = -tan theta, we have tan 120^circ = -tan 60^circ. Since tan 60^circ = sqrt{3}, we have tan 120^circ = -sqrt{3}. Therefore, tan 120^circ = boxed{-sqrt{3}}.The answer is: -sqrt{3}

answer:To solve this problem, we need to determine the value of x, which represents the unknown variable in the function f(x). First, let's substitute the value of g(8) into the function f(g(8)): f(g(8)) = f(3(8) + 7) Simplifying the expression inside the parentheses: f(g(8)) = f(24 + 7) f(g(8)) = f(31) Next, let's substitute the value of f(g(8)) into the given equation, which is 146: 146 = 5(31) - x Now, let's simplify and solve for x: 146 = 155 - x To isolate x, we subtract 155 from both sides of the equation: 146 - 155 = 155 - x - 155 -9 = -x Finally, we multiply both sides of the equation by -1 to solve for x: 9 = x The value of x is 9. The answer is: 9