QUESTION 1: MULTIPLE CHOICE CHOOSE THE CORRECT ANSWER: 1.1 Decrease R126.00 in the ratio 3:7. (1) A \( \quad \) R 37,80 B \( \quad \) R12,60 C R294 D R54 1.2 Complete: \( (a+b)^{0}= \) ? A \( a+b \) B 2 C 1 D 0 1.3 Janet travelled a total distance of 540 km by car at an average speed of \( 120 \mathrm{~km} / \mathrm{h} \). How long did she travel? (1) A 13,3 hours B \( \quad 11 \) hours C 7 hours D \( \quad 4,5 \) hours
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To solve the first question, you can break down the total amount to find the value corresponding to the ratio. By adding the ratio parts, \(3 + 7\) gives us \(10\). The amount corresponding to the first part is \(\frac{3}{10} \times R126.00\), which equals R37.80. For the second question, according to the laws of exponents, any non-zero number raised to the power of \(0\) equals \(1\). So \( (a+b)^0 = 1\), regardless of the values of \(a\) and \(b\) as long as they're not both zero. Janet's travel query states she covered 540 km at an average speed of \(120 \mathrm{~km/h}\). To find the time taken, you can use the formula: time = distance ÷ speed. In this case, \(540 km ÷ 120 km/h = 4.5\) hours. Answers: 1.1: A \( R 37,80 \) 1.2: C \( 1 \) 1.3: D \( 4.5 \) hours