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Calculate the temperature rise from -11°C to 15°C. 2. Solve the following banking problems: a) i) -R10 + R10 = ? ii) -R11 + R11 = ? iii) -R16 + R16 = ? b) Explain the transactions: (-R20) + R3 + (-R5)

Mathematics

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Answers

3 parts
a(i)

R0

a(ii)

R0

a(iii)

R0

Step-by-step solution

5 steps

Here are the solutions to the problems.

1. Temperature Rise

Step 1: Identify the initial and final temperatures.
Initial temperature =−11∘C= -11^\circ \text{C}
Final temperature =15∘C= 15^\circ \text{C}

Step 2: Calculate the temperature rise by subtracting the initial temperature from the final temperature.

Temperature rise=Final temperature−Initial temperature\text{Temperature rise} = \text{Final temperature} - \text{Initial temperature} Temperature rise=15∘C−(−11∘C)\text{Temperature rise} = 15^\circ \text{C} - (-11^\circ \text{C}) Temperature rise=15∘C+11∘C\text{Temperature rise} = 15^\circ \text{C} + 11^\circ \text{C} Temperature rise=26∘C\text{Temperature rise} = 26^\circ \text{C}

The temperature rose by 26∘C\boxed{26^\circ \text{C}}.

2. Thabo's Father's Banking System

Part a(i)· 1 step

Work out the following balances

  1. Add the given amounts.

    −R10+R10=R0-R10 + R10 = R0

    The balance is R0\boxed{R0}.

Part a(ii)R0

  1. Add the given amounts.

    −R11+R11=R0-R11 + R11 = R0

    The balance is R0\boxed{R0}.

Part a(iii)R0

  1. Add the given amounts.

    −R16+R16=R0-R16 + R16 = R0

    The balance is R0\boxed{R0}.

Part b· 2 steps

In your own words explain the transactions represented by the following

(−R20)+R3+(−R5)+(−R5)+R12+(−R10)(-R20) + R3 + (-R5) + (-R5) + R12 + (-R10)

  1. Interpret each term in the expression.

    • (−R20)(-R20) represents borrowing R20.
    • R3R3 represents paying back R3.
    • (−R5)(-R5) represents borrowing R5.
    • (−R5)(-R5) represents borrowing another R5.
    • R12R12 represents paying back R12.
    • (−R10)(-R10) represents borrowing R10.

  2. Explain the sequence of transactions.

    This expression represents a series of transactions where Thabo's father first borrows R20, then pays back R3. After that, he borrows R5, then borrows another R5, then pays back R12, and finally borrows R10.

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