Determine the values of A & B

Mathematics
Determine the values of A & B

ScanSolve AI Answer

Answer

R350

2.1) Step 1: Identify John's fixed expenses. Fixed expenses are costs that do not change with the number of cars washed. • Power washer rental: R300 per day • Payment to brother Tommy: R50 per day Fixedexpenses=R300+R50=R350Fixed expenses = R300 + R50 = R350 John's fixed expenses per day are R350\boxed{R350}.

2.2) Step 1: Identify the components of total expenses. Total expenses consist of fixed expenses and variable expenses. • Fixed expenses: R350 (from 2.1) • Variable expenses: R4 per car Let xx be the number of cars washed. Step 2: Write the formula for total expenses. Expenses=Fixedexpenses+(Variablecostpercar×Numberofcars)Expenses = Fixed expenses + (Variable cost per car \times Number of cars) E(x)=350+4xE(x) = 350 + 4x The formula for expenses is E(x)=350+4x\boxed{E(x) = 350 + 4x}.

2.3) Step 1: Determine the value of A. A represents the income for 5 cars. John charges R120 per car. A=5cars×R120/car=R600A = 5 cars \times R120/car = R600 Step 2: Determine the value of B. B represents the expenses for 15 cars. Use the formula E(x)=350+4xE(x) = 350 + 4x from 2.2. B=E(15)=350+4(15)B = E(15) = 350 + 4(15) B=350+60B = 350 + 60 B=410B = 410 The values are A=600\boxed{A = 600} and B=410\boxed{B = 410}.

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Quick Answer

2.1) Step 1: Identify John's fixed expenses. Fixed expenses are costs that do not change with the number of cars washed.

Determine the values of A & B
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
2.1) Step 1: Identify John's fixed expenses. Fixed expenses are costs that do not change with the number of cars washed. • Power washer rental: R300 per day • Payment to brother Tommy: R50 per day Fixed expenses = R300 + R50 = R350 John's fixed expenses per day are R350. 2.2) Step 1: Identify the components of total expenses. Total expenses consist of fixed expenses and variable expenses. • Fixed expenses: R350 (from 2.1) • Variable expenses: R4 per car Let x be the number of cars washed. Step 2: Write the formula for total expenses. Expenses = Fixed expenses + (Variable cost per car × Number of cars) E(x) = 350 + 4x The formula for expenses is E(x) = 350 + 4x. 2.3) Step 1: Determine the value of A. A represents the income for 5 cars. John charges R120 per car. A = 5 cars × R120/car = R600 Step 2: Determine the value of B. B represents the expenses for 15 cars. Use the formula E(x) = 350 + 4x from 2.2. B = E(15) = 350 + 4(15) B = 350 + 60 B = 410 The values are A = 600 and B = 410. Send me the next one 📸