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[Solved] Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50. After one month, Paul bought 15 passes and spent a total of $29.50. How much did he spend on the student discount card?
Solution: Let x be the total cost. Let y be the cost for the discount card. Let z be the number of daily bus passes. According to the question Total cost = Cost for the discount card + 1.50 Number of daily bus passes ⟹x = y + 1.50 z ────── ① It is given…
[Solved] Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground.
Verified Answer: Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground. Solution: According to the question,…
[Solution] Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
To solve this problem, we can use a system of equations based on their savings over time. Let �t be the number of months it will take for Jaclyn and Pedro to have saved the same amount of money. Step 1: Set Up Equations for Both Jaclyn and Pedro For Jaclyn: Initial savings + Monthly…
[Solved] Caroline is making a triangular flag with a base of 10 inches and a height of 8 inches. What is the area of the flag?
To find the area of a triangle, we use the formula: Area=12×base×heightArea=21×base×height Concept Used: Area of a Triangle The area of a triangle is half the product of its base and height. Detailed Explanation: 1. Identify the Given Information From the problem, we know: 2. Apply the Formula to Find the Area Using the formula…
[Solved] Anne wants to create a data display to summarize the prices of the 264 homes for sale in her area. A sample of the data is shown below. $72,000, $129,500, $132,000, $149, 400,$152,000, $183,500, $225,000, $289,000, $348,000
Anne wants to create a data display to summarize the prices of the 264 homes for sale in her area. A sample of the data is shown below. $72,000, $129, 500, $132,000, $149, 400, $152,000, $183,500, $225,000, $289,000, $348,000. She wants the display to show how many homes are available for home buyers with various…
[Solved] Doug has 8 square pieces of wood. Each piece of wood has a side length of s centimeters. The total area of all eight pieces of wood is 200 square centimeters. Create a quadratic equation Doug can use to find the side length of each piece of wood.
Let’s derive the quadratic equation step by step. Finding the Quadratic Equation for the Area of Square Pieces of Wood Concept Used: Area of a Square The formula to find the area of a square is: Area=side length2Area=side length2 Detailed Explanation: 1. Determine the Area of One Square Piece Given that the side length of each square…