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South Africa
5. \( \left(\frac{1}{27}\right)^{\frac{2}{3}} \) \( =\left(\frac{1}{3^{3}}\right)^{\frac{2}{3}} \)
Pre Algebra Jan 22, 2025
8. \( \left(\frac{36}{64}\right)^{-\frac{3}{2}} \quad \) 9. \( (2,25)^{-\frac{1}{2}} \)
Pre Algebra Jan 22, 2025
Solve For \( x \) \( \frac{4 x-14}{x+4}-\frac{2 x-4}{x+2}=0 \)
Algebra Jan 22, 2025
YERCISE 4 You may use a calculator in this exercise. Express the following as a ratio in its simplest form: \( \begin{array}{llll}\text { (1) } 18 \text { to } 12 & \text { (2) } 24 \text { to } 32 & \text { (3) } 15 \text { to } 25\end{array} \) \( \begin{array}{lll}\text { (4) } 30 \text { to } 20 & \text { (5) } 9 \text { to } 15 \text { to } 21 & \text { (6) } 1000 \text { to } 10 \text { to } 100 \\ \text { (7) } 1,6 \text { to } 1 & \text { (11) } 0,36 \text { to } 0,06 & \text { (9) } 0,01 \text { to } 0,00001 \\ \text { (10) } 2,4 \text { to } 0,8 \text { to } 0,16 & \text { (1) } 1,5 \mathrm{~m} & \text { (12) } 6 \mathrm{~kg} \text { to } 600 \mathrm{~g} \text { to } 3000 \mathrm{~g} \\ \text { (13) } 48 \text { seconds to } 1 \text { minute } & \text { (14) } 3 \frac{1}{7} \text { to } \frac{11}{14} & \text { (15) } 2 x^{2} y \text { to } 6 x y^{2}\end{array} \)
Arithmetic Jan 22, 2025
XERCISE 4 You may use a calculator in this exercise. E) Express the following as a ratio in its simplest form: \( \begin{array}{llll}\text { (1) } 18 \text { to } 12 & \text { (2) } 24 \text { to } 32 & \text { (3) } 15 \text { to } 25 \\ \text { (4) } 30 \text { to } 20 & \text { (5) } 9 \text { to } 15 \text { to } 21 & \text { (6) } 1000 \text { to } 10 \text { to } 100 \\ \text { (7) } 1,6 \text { to } 1 & \text { (8) } 0,36 \text { to } 0,06 & \text { (9) } 0,01 \text { to } 0,00001 \\ \text { (10) } 2,4 \text { to } 0,8 \text { to } 0,16 & \text { (11) } 30 \mathrm{~cm} \text { to } 1,5 \mathrm{~m} & \text { (12) } 6 \mathrm{~kg} \text { to } 600 \mathrm{~g} \text { to } 3000 \mathrm{~g} \\ \text { (13) } 48 \text { seconds to } 1 \text { minute } & \text { (14) } 3 \frac{1}{7} \text { to } \frac{11}{14} & \text { (15) } 2 x^{2} y \text { to } 6 x y^{2}\end{array} \)
Arithmetic Jan 22, 2025
An air conditioning company sells two types of air conditioners: portable and wall mounted. The prices of these air cons are in the ratio. \( 2: 3 \). The price of a portable air con is cheaper. If the company sells 9 portable air cons and 11 wall mounted air cons and receives an income of R204 000, what is the price of each air con type?
Algebra Jan 22, 2025
A car initially at rest accelerates uniformly to \( 15.0 \mathrm{~m} / \mathrm{s} \) over 6.00 s . What is the acceleration of the car? \[ a=[?] \mathrm{m} / \mathrm{s}^{2} \]
Physics Jan 22, 2025
Find the direction of the vector sum lector A is 88.7 m long in a \( 310^{\circ} \) direction. lector B is 59.6 m long in a \( 230^{\circ} \) direction.
Physics Jan 22, 2025
Find the magnitude of the vector sum Vector A is 88.7 m long in a \( 310^{\circ} \) direction. Vector B is 59.6 m long in a \( 230^{\circ} \) direction.
Physics Jan 22, 2025
Jessica buys twice as many bottles of shampoo than conditioner. She paid R120 per bottle of shampoo and R150 per bottle of conditioner and a total of R2 340 . How many bottles of shampoo did she buy?
Algebra Jan 22, 2025
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