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.

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Fresh day namyenyahalima3, let's solve.
30. a) Step 1: Add the numbers. Step 2: Find the remainder when 26 is divided by 7. So, . The value is .
30. b) Step 1: Find the remainder of 27 when divided by 7. This means that 27 days from now will be the same day as 6 days from now. Step 2: Count 6 days forward from Thursday. Thursday + 1 day = Friday Thursday + 2 days = Saturday Thursday + 3 days = Sunday Thursday + 4 days = Monday Thursday + 5 days = Tuesday Thursday + 6 days = Wednesday The day will be .
31. a) Step 1: Identify the common factor and apply the distributive property . Step 2: Perform the addition inside the parenthesis. Step 3: Perform the multiplication. The value is .
31. b) Step 1: Substitute the given values , , and into the expression . Step 2: Perform the addition inside the parenthesis. Step 3: Perform the multiplication. The value is .
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Fresh day namyenyahalima3, let's solve. 30.
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.