If a tax of \( 15 \% \) is added to an item costing \( \$ 240 \), calculate: The tax paid on the item Answer. \( \qquad \) (3) The cost of the item including the tax. Answer. \( \qquad \) (1) Calculate the area of a triangle if the base is 4 cm and the height is three times the base. Answer. \( \qquad \) (2) 7. If \( \$ 2400 \) is shaved in the ratio 1:2:5, calculate: a) What is the largest share? Answer. \( \qquad \) (2) b) What is the difference between the largest and the smatlest shares? Auswer. \( \qquad \) (1) A salesman drove a distance of 224 km from one tomn to a next. If the trip took \( 31 / 2 \) hrs, what was his average speed?

To find the tax paid on the item costing $240, you can calculate it using the formula: Tax = Cost × Tax Rate. This results in a tax of \( 240 \times 0.15 = \$36 \). So, the tax paid on the item is \( \$36 \). Now, to find the total cost of the item including tax, you simply add the tax to the original cost. That gives you \( 240 + 36 = \$276 \). Thus, the total cost of the item including the tax is \( \$276 \). The area of a triangle can be calculated using the formula: Area = \( \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is 4 cm and the height is three times the base, which makes it 12 cm. Plugging those values in, we get: Area = \( \frac{1}{2} \times 4 \times 12 = 24 \text{ cm}^2 \). When you have to split $2400 in the ratio 1:2:5, first, sum the parts of the ratio (1 + 2 + 5 = 8). Each share is then calculated by dividing the total amount by the sum of parts, so \( 2400 \div 8 = 300 \). The largest share, corresponding to 5 in the ratio, is \( 5 \times 300 = 1500 \). To find the difference between the largest share ($1500) and the smallest share (1 part), which is \( 300 \), you simply subtract the two amounts: \( 1500 - 300 = 1200 \). To calculate the average speed, use the formula: Speed = Distance ÷ Time. The distance traveled is 224 km, and the time taken is \( 3.5 \) hours. Thus, the average speed is \( 224 \div 3.5 = 64 \text{ km/h} \).