ctivity Convert the follawing to percentages (to 1 decinat place): 7. 3 3 कut of 55 3.2 0.72 $$ 33 . \quad \frac{29}{60} $$ 1.4. 0,013 1.5. 2.15 1.6. $$ \quad 3 \frac{2}{7} $$ Calculate the following; 2.1. $$ 23 \% $$ of 140 birds 2. $$ 2.65 \% $$ of 8390 2.3. $$ 17 \% $$ of 400 children 3. Calculate the new prices for the following items: 3.1. Bread is increased by $$ 2,3 \% $$ from $$ R 13,20 $$ 3.2. A pair of shoes is discounted by $$ 35 \% $$ from R 499 3.3. The price of a car that was R213 999 has increased by $$ 6,5 \% $$

Question

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$213999\left(1+\left(\frac{6.5}{100}\right)\right)$$
- step1: Divide the terms:
  $$213999\left(1+\frac{13}{200}\right)$$
- step2: Add the numbers:
  $$213999\times \frac{213}{200}$$
- step3: Multiply:
  $$\frac{213999\times 213}{200}$$
- step4: Multiply:
  $$\frac{45581787}{200}$$
Calculate or simplify the expression $$ (33 + (29/60))/1*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(33+\frac{29}{60}\right)}{1}\times 100$$
- step1: Remove the parentheses:
  $$\frac{33+\frac{29}{60}}{1}\times 100$$
- step2: Add the numbers:
  $$\frac{\frac{2009}{60}}{1}\times 100$$
- step3: Divide the terms:
  $$\frac{2009}{60}\times 100$$
- step4: Reduce the numbers:
  $$\frac{2009}{3}\times 5$$
- step5: Multiply:
  $$\frac{2009\times 5}{3}$$
- step6: Multiply:
  $$\frac{10045}{3}$$
Calculate or simplify the expression $$ (17/100)*400 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{17}{100}\times 400$$
- step1: Reduce the numbers:
  $$17\times 4$$
- step2: Multiply the numbers:
  $$68$$
Calculate or simplify the expression $$ (3 + (2/7))/1*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(3+\frac{2}{7}\right)}{1}\times 100$$
- step1: Remove the parentheses:
  $$\frac{3+\frac{2}{7}}{1}\times 100$$
- step2: Add the numbers:
  $$\frac{\frac{23}{7}}{1}\times 100$$
- step3: Divide the terms:
  $$\frac{23}{7}\times 100$$
- step4: Multiply:
  $$\frac{23\times 100}{7}$$
- step5: Multiply:
  $$\frac{2300}{7}$$
Calculate or simplify the expression $$ (23/100)*140 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{23}{100}\times 140$$
- step1: Reduce the numbers:
  $$\frac{23}{5}\times 7$$
- step2: Multiply:
  $$\frac{23\times 7}{5}$$
- step3: Multiply:
  $$\frac{161}{5}$$
Calculate or simplify the expression $$ (2.65/100)*8390 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{2.65}{100}\right)\times 8390$$
- step1: Divide the terms:
  $$\frac{53}{2000}\times 8390$$
- step2: Reduce the numbers:
  $$\frac{53}{200}\times 839$$
- step3: Multiply:
  $$\frac{53\times 839}{200}$$
- step4: Multiply:
  $$\frac{44467}{200}$$
Calculate or simplify the expression $$ (7.3/55)*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{7.3}{55}\right)\times 100$$
- step1: Divide the terms:
  $$\frac{73}{550}\times 100$$
- step2: Reduce the numbers:
  $$\frac{73}{11}\times 2$$
- step3: Multiply:
  $$\frac{73\times 2}{11}$$
- step4: Multiply:
  $$\frac{146}{11}$$
Calculate or simplify the expression $$ (0.013/1)*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{0.013}{1}\right)\times 100$$
- step1: Divide the terms:
  $$\frac{13}{1000}\times 100$$
- step2: Reduce the numbers:
  $$\frac{13}{10}\times 1$$
- step3: Multiply:
  $$\frac{13}{10}$$
Calculate or simplify the expression $$ (2.15/1)*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{2.15}{1}\right)\times 100$$
- step1: Divide the terms:
  $$\frac{43}{20}\times 100$$
- step2: Reduce the numbers:
  $$43\times 5$$
- step3: Multiply the numbers:
  $$215$$
Calculate or simplify the expression $$ 13.20*(1 + (2.3/100)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$13.2\left(1+\left(\frac{2.3}{100}\right)\right)$$
- step1: Divide the terms:
  $$13.2\left(1+\frac{23}{1000}\right)$$
- step2: Add the numbers:
  $$13.2\times \frac{1023}{1000}$$
- step3: Convert the expressions:
  $$\frac{66}{5}\times \frac{1023}{1000}$$
- step4: Multiply the fractions:
  $$\frac{66\times 1023}{5\times 1000}$$
- step5: Multiply the terms:
  $$\frac{67518}{5\times 1000}$$
- step6: Multiply the terms:
  $$\frac{67518}{5000}$$
- step7: Reduce the fraction:
  $$\frac{33759}{2500}$$
Calculate or simplify the expression $$ (3.2/1)*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{3.2}{1}\right)\times 100$$
- step1: Divide the terms:
  $$\frac{16}{5}\times 100$$
- step2: Reduce the numbers:
  $$16\times 20$$
- step3: Multiply the numbers:
  $$320$$
Calculate or simplify the expression $$ 499*(1 - (35/100)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$499\left(1-\left(\frac{35}{100}\right)\right)$$
- step1: Reduce the fraction:
  $$499\left(1-\frac{7}{20}\right)$$
- step2: Subtract the numbers:
  $$499\times \frac{13}{20}$$
- step3: Multiply:
  $$\frac{499\times 13}{20}$$
- step4: Multiply:
  $$\frac{6487}{20}$$
Let's break down the calculations step by step.

### Converting to Percentages

1. **$$ 7.3 $$ out of $$ 55 $$**:
   $$
   \frac{7.3}{55} \times 100 \approx 13.3\%
   $$

2. **$$ 3.2 $$**:
   $$
   3.2 \times 100 = 320.0\%
   $$

3. **$$ 33 + \frac{29}{60} $$**:
   $$
   33 + \frac{29}{60} \approx 33.48 \quad \Rightarrow \quad 33.48 \times 100 \approx 3348.3\%
   $$

4. **$$ 0.013 $$**:
   $$
   0.013 \times 100 = 1.3\%
   $$

5. **$$ 2.15 $$**:
   $$
   2.15 \times 100 = 215.0\%
   $$

6. **$$ 3 \frac{2}{7} $$**:
   $$
   3 + \frac{2}{7} \approx 3.2857 \quad \Rightarrow \quad 3.2857 \times 100 \approx 328.6\%
   $$

### Calculating Specific Percentages

1. **$$ 23\% $$ of $$ 140 $$ birds**:
   $$
   0.23 \times 140 = 32.2
   $$

2. **$$ 2.65\% $$ of $$ 8390 $$**:
   $$
   0.0265 \times 8390 \approx 222.3
   $$

3. **$$ 17\% $$ of $$ 400 $$ children**:
   $$
   0.17 \times 400 = 68
   $$

### Calculating New Prices

1. **Bread increased by $$ 2.3\% $$ from $$ R 13.20 $$**:
   $$
   13.20 \times (1 + 0.023) \approx 13.20 \times 1.023 \approx R 13.50
   $$

2. **A pair of shoes discounted by $$ 35\% $$ from $$ R 499 $$**:
   $$
   499 \times (1 - 0.35) = 499 \times 0.65 \approx R 324.35
   $$

3. **The price of a car that was $$ R 213,999 $$ increased by $$ 6.5\% $$**:
   $$
   213999 \times (1 + 0.065) \approx 213999 \times 1.065 \approx R 227,908.94
   $$

### Summary of Results

- Percentages:
  - $$ 7.3 $$ out of $$ 55 $$: **13.3%**
  - $$ 3.2 $$: **320.0%**
  - $$ 33 + \frac{29}{60} $$: **3348.3%**
  - $$ 0.013 $$: **1.3%**
  - $$ 2.15 $$: **215.0%**
  - $$ 3 \frac{2}{7} $$: **328.6%**

- Specific Calculations:
  - $$ 23\% $$ of $$ 140 $$: **32.2**
  - $$ 2.65\% $$ of $$ 8390 $$: **222.3**
  - $$ 17\% $$ of $$ 400 $$: **68**

- New Prices:
  - Bread: **R 13.50**
  - Shoes: **R 324.35**
  - Car: **R 227,908.94**
- **Percentages:** - 7.3 out of 55: 13.3% - 3.2: 320.0% - 33 + 29/60: 3348.3% - 0.013: 1.3% - 2.15: 215.0% - 3 2/7: 328.6% - **Calculations:** - 23% of 140 birds: 32.2 - 2.65% of 8390: 222.3 - 17% of 400 children: 68 - **New Prices:** - Bread: R13.50 - Shoes: R324.35 - Car: R227,908.94

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