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[Solved] A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The piece of cork has a mass of 5.7g. What is the density of the cork?
Understand the Definition of DensityDensity measures how much mass is contained in a given volume. It’s often used to determine the compactness or concentration of matter in an object. The formula for density is: Density=MassVolumeDensity=VolumeMass Where: 2. Identify the Given ValuesFrom the problem statement, we have: 3. Substitute the Given Values into the FormulaUsing the…
[Solved] Ivan and Tanya share £150 in a ratio of 4: 1. Work out how much more Ivan gets compared to Tanya
Ivan and Tanya share £150 in a ratio of 4: 1. Work out how much more Ivan gets compared to Tanya. Step 1: Understand the problem Ivan and Tanya share £150 in a ratio of 4:1. We need to find out how much more Ivan gets compared to Tanya. Step 2: Find the total number…
[Solved] If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60, what is the cost of one apple and one banana?
Question: If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60. What are the cost of one apple and one banana? We will solve the system of linear equations using the elimination method. Step 1: Set up the equations We are given the following information: Let x be the…
Which equation is represented by the graph below?
Which equation is represented by the graph below? A. -2y = 4x + 10 B. 2y + x = 10 C. y + 2x = -5 D. 2y = -10x – 4 Solution: From the graph, we can see that line passes through (0, -5) and (2, -9) We know that equation of a line…
[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] Which equation is represented by the graph below
Verified Answer: Which equation is represented by the graph below? A. y = ln x B. y = ln x + 1 C. y = ex D. y = ex + 1 Solution: The given graph is exponential. We know that equation of an exponential function is given by: y=aex ────── ① From the given…
[Solved] Which equation is represented by the graph below?
Verified Answer: Which equation is represented by the graph below? A. y = 1/8ex B. y = 1/2ex Solution: We know that equation of an exponential function is given by: y = aex ────── ① From the given graph, we can observe that x-intercept = 0 and y-intercept = 1/2 Substituting the value of x…
[Solved] A yoga instructor wants to arrange the maximum possible number of 6000 students in a ground so that the number of rows is the same as the number of columns. How many rows will be there if 71 students are left out after the arrangement?
A yoga instructor wants to arrange a maximum possible number of 6000 students in a ground so that the number of rows is the same as the number of columns. How many rows will be there if 71 students are left out after the arrangement? Concept used: The square root of a number is a…
What is 3x times -5?
What is 3x times -5? aQuestion: What is 3x times –5? aSolution: First we will remove the parentheses, we get –3×x×-5 Now, we will multiply the above monomials, we get –15x Hence, 3x times –5=–15x