2.4.2. Is this dired of Indireot proportion? Olve a reason for your answer. (2) 2.5 Mpho wanta to exchange South African rands for Dritish pound. If Rt is worth 0,075400 pound, how many pounde will he get for R2 100 If he must pay an agent a commleslon of $$ 1.6 \% $$ ? 2.7. The price of petrol it increased from R12,68 por litro to R13,28 por litro. Determine the percentage inerease in the price. (2) 2.8. A motor car drlves at an avorage speed of $$ 100 \mathrm{~km} / \mathrm{h} $$ for 2 hours 45 minutos. It which constant speed must a car dive to travel the same distance in 2 hours 35 Minutes ?

Question

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(13.28-12.68\right)}{12.68}\times 100$$
- step1: Remove the parentheses:
  $$\frac{13.28-12.68}{12.68}\times 100$$
- step2: Subtract the numbers:
  $$\frac{0.6}{12.68}\times 100$$
- step3: Divide the terms:
  $$\frac{15}{317}\times 100$$
- step4: Multiply:
  $$\frac{15\times 100}{317}$$
- step5: Multiply:
  $$\frac{1500}{317}$$
Calculate or simplify the expression $$ d / (2 + 35/60) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{d}{\left(2+\frac{35}{60}\right)}$$
- step1: Remove the parentheses:
  $$\frac{d}{2+\frac{35}{60}}$$
- step2: Reduce the fraction:
  $$\frac{d}{2+\frac{7}{12}}$$
- step3: Add the numbers:
  $$\frac{d}{\frac{31}{12}}$$
- step4: Multiply by the reciprocal:
  $$d\times \frac{12}{31}$$
- step5: Multiply the terms:
  $$\frac{d\times 12}{31}$$
- step6: Multiply the terms:
  $$\frac{12d}{31}$$
Calculate or simplify the expression $$ 100*2.75 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$100\times 2.75$$
- step1: Multiply the numbers:
  $$275$$
Calculate or simplify the expression $$ 2100*0.075400 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2100\times 0.0754$$
- step1: Multiply the numbers:
  $$158.34$$
Calculate or simplify the expression $$ (100*2.75) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$100\times 2.75$$
- step1: Multiply the numbers:
  $$275$$
Calculate or simplify the expression $$ 275 / (2 + 35/60) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{275}{\left(2+\frac{35}{60}\right)}$$
- step1: Remove the parentheses:
  $$\frac{275}{2+\frac{35}{60}}$$
- step2: Reduce the fraction:
  $$\frac{275}{2+\frac{7}{12}}$$
- step3: Add the numbers:
  $$\frac{275}{\frac{31}{12}}$$
- step4: Multiply by the reciprocal:
  $$275\times \frac{12}{31}$$
- step5: Multiply:
  $$\frac{275\times 12}{31}$$
- step6: Multiply:
  $$\frac{3300}{31}$$
Let's summarize the calculations for each part of your problem:

### 2.5: Currency Exchange Calculation
1. **Amount in pounds before commission**:
   $$
   \text{Amount in pounds} = R2100 \times 0.075400 = 158.34 \text{ pounds}
   $$

2. **Commission**:
   $$
   \text{Commission} = 1.6\% \text{ of } 158.34 = 2.53344 \text{ pounds}
   $$

3. **Final amount in pounds after deducting the commission**:
   $$
   \text{Final amount in pounds} = 158.34 - 2.53344 \approx 155.81 \text{ pounds}
   $$

### 2.7: Percentage Increase in Petrol Price
1. **Percentage Increase**:
   $$
   \text{Percentage Increase} = \left( \frac{13.28 - 12.68}{12.68} \right) \times 100 \approx 4.73\%
   $$

### 2.8: Constant Speed Calculation
1. **Distance traveled at 100 km/h for 2 hours 45 minutes**:
   $$
   \text{Distance} = 100 \text{ km/h} \times 2.75 \text{ hours} = 275 \text{ km}
   $$

2. **Speed required to travel the same distance in 2 hours 35 minutes**:
   - Convert 2 hours 35 minutes to hours:
   $$
   2 + \frac{35}{60} = 2.5833 \text{ hours}
   $$
   - Speed:
   $$
   \text{Speed} = \frac{275 \text{ km}}{2.5833 \text{ hours}} \approx 106.14 \text{ km/h}
   $$

### Summary of Results
- **Final amount in pounds after commission**: Approximately **155.81 pounds**
- **Percentage increase in petrol price**: Approximately **4.73%**
- **Constant speed required**: Approximately **106.14 km/h**

If you have any further questions or need additional assistance, feel free to ask!
- **Currency Exchange**: Mpho will receive approximately **155.81 pounds** after a 1.6% commission. - **Petrol Price Increase**: The price of petrol increased by approximately **4.73%**. - **Constant Speed**: To travel the same distance in 2 hours 35 minutes, the car must drive at approximately **106.14 km/h**.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Arithmetic Questions