answer:The cost of the field trip is 485. Zoe's grandma gave her 250 toward the fees. Zoe needs to earn the rest of the money by selling candy bars. Let's say Zoe sells y candy bars. She makes x for every candy bar she sells, so the total amount she earns from selling candy bars is x * y. The total amount she needs to earn is 485 - 250 = 235. We can write the equation: x * y = 235. We are given that the number of candy bars Zoe needs to sell is 188, so we can write: x * 188 = 235. Dividing both sides by 188, we get: x = 235 / 188. The value of x is approximately 1.25. 1.25 The answer is: 1.25

answer:We can simplify the left side of the equation as 3 cdot 9^4 = 3 cdot (3^2)^4 = 3 cdot 3^8 = 3^9. So, we have 3^9 = 3^x. Since the bases are the same, the exponents must be equal, so 9 = x. Therefore, the value of x is boxed{9}.The answer is: 9

answer:To solve this problem, we need to determine the value of x, which represents the percentage of the parking lot that is usable for parking. Let's break down the information given: Length of the parking lot: 400 feet Width of the parking lot: 500 feet Total area of the parking lot: 400 feet * 500 feet = 200,000 square feet Number of cars that can be parked: 16,000 Area required to park one car: 10 square feet Total area required to park all cars: 16,000 cars * 10 square feet = 160,000 square feet We can set up the equation as follows: Usable area of the parking lot (x% of the total area) = Total area required to park all cars x/100 * 200,000 square feet = 160,000 square feet Let's simplify and solve for x: (200,000/100) * x = 160,000 2,000 * x = 160,000 To isolate x, we divide both sides of the equation by 2,000: 2,000 * x / 2,000 = 160,000 / 2,000 x = 80 The value of x is 80. 80 The answer is: 80

answer:The equation x = 2t + 4 tells us that t = frac{x - 4}{2}. Substituting into the equation y = 4t - 5, we get [y = 4 cdot frac{x - 4}{2} - 5 = 2x - 8 - 5 = 2x - 13.] Thus, the equation of the line is boxed{y = 2x - 13}.The answer is: 2x-13