offering a 20% off sale on complete purchases. Banana (“B”) School Supply is offering a sale in which there is a 25% discount for every dollar amount spent above $20.00. Using two different algebraic equations I will evaluate and compare the two cost options. After solving the systems of equations I will depict the situation graphically using separate amounts of total funds spent in range from $20-$300.00. X= Dollar amount before discount Y= Dollar amount after discount Store “A”
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can use the substitution method to set both equations equal to each other. 5x = 185 5/5 = 185/5 x = 37 Plug x = 37 back into one of the equations above to find y. y = 5 * 37 y= 185 The solution point is 37 hours for $185‚ (37‚$185) Daycare option y = 5x Center based option y = 185 + 8(x-40) (for x > 40 hours) Since they are both equal to y‚ we can use the substitution method to set both equations equal to each other. 5x = 185 + 8(x-40)
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that is written first and negative half is written second. Subscripts are small numbers to the lower right of a symbol. They the number of atoms of that element in the compound. Coefficients are large numbers to the left of formulas in chemical equations. They represent the ratio of molecules of each substance involved in a chemical reaction. Weight Percentage is a percentage based on weights. Mole percentage is a percentage based on the numbers of atoms or moles. Formula units is the simplest
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Question 1 – Identify equation modeling a scenario 4 Question 2 – Identify a non-equivalent equation 4 Question 3 – Evaluate equation for a given value in context 5 Question 4 – Identify equation modeling perimeter 6 Question 5 – Determine equation to model a situation 6 Question 6 – Determine equation of a line given a point and the slope 7 Question 7 – Find interval of largest change on graph 8 Question 8 – Find solution to equation 9 Question 9 – Interpret
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so the mathematical equation of constraint 1 is 4X + 4Y < 30 Constraint 2: Units of flavor additive used < units of flavor additive available Units of flavor additive used = 12X + 6Y 72 units of flavor additive are available so the mathematical equation of constraint 2 is 12X + 6Y < 72 Constraint 3: Units of color additive used < units of color additive available Units of color additive used = 6X + 15Y90 units of color additive are available so the mathematical equation of constraint 3 is
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following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system of equations is dependent. The system of equations is independent. None of these 4. Identify the solution(s) of the system of equations‚ if any. -4x - 2y = 12 6y = -12x - 36 Hint X no solution (0‚ -3) (-3‚ 0) infinitely many solutions 5. Identify the solution(s) of the system of equations‚ if any. x + 5y
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shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links two variables‚ and if plotted on a graph
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April 17th 9:00-17:00 April 24th 9:00-17:00 Finite Difference Method (FDM) Computational Solution Finding; - Governing (Differential) Equations - Initial & Boundary Conditions Discretization of the Domain Changing Differential Eqs. to Algebraic Eqs. Internal Nodes and Boundary Nodes Solving the system of Algebraic equations Example: Example: A chimney Inside: Convection Ti 300 oC ‚ hi 70 W/m 2 .o C Outside: Convection + Radiation TO 20 oC ‚ hO 21 W/m 2
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Chemical Equations Name _____________________________ Balancing Balancing Equations Challenge Part A: Parts & Pieces (1) Circle each subscript in each chemical formula. (2) Draw a square around each coefficient. (3) Answer the questions related to each chemical formula. O2 CO2 5 H2 What element does the O represent? ___________________ How many atoms of each element are in the formula shown? C = ______ O = ______ How many atoms of Hydrogen are in this formula as shown
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both sides by 2 2 2 2500 = X The bear population on the Keweenaw Peninsula is estimated to be around 2500. The extreme means for this sample were 50 and 100‚ X and 2. For the second problem in this assignment‚ the equation must be solved for Y. Continuing the discussion of proportions‚ a single fraction (ratio) exists on both sides of the equal sign so basically it is a proportion‚ which can be solved by cross multiplying the
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